SCIENTIFIC ABSTRACT SHARPENAK, A.E. - SHARSHUKOVA, N.P.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001548620020-3
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: August 23, 2000
• Sequence Number: 20
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

SHAW]gK H.A.; POPKOVA, v.N.; vOROKIIIA. L.M. (Moskva)
The efficacy of theInonspecific diet during reconvaleocence from
5
serious infectious diseases [with summary in Zngliahl. Top.pit.
17 no.2:42-47 Mr-Ap 158. (HIRA 11:4)
1. Iz kafedry blokhimii (zav. - prof. A.E.Shapenak) Moskovskogo
meditsinskogo stomatologicheakogo institute i infektsionnogo
otdeleniya (nauchnyy rakovoditell prof. S.I.Ratner) Klinicheskoy
billnitay imeni S.P.Botkina.
(DINS, 'therapeutic use
infect. die.. evaluation (Rua))
(CUKKUNICABLE DISEASES,
infect. die., ther., with nonspecific diet,
evaluation (Rua))

SHARPSNAIX.,A.B.,.SHISHOVA,-O.A., GOROZHANKINA, L.A.. ZHARKOV.- M.Y.
Iffect of Insufficient and e=essive histidine conte at of food
on certain metabolic processes and functiairm of the organism.
[with e=mary in English]. Vop.pit, 17 no*4.130-35 Je-Ag'58
(KM 11:7)
1, Is laboratorii biokhimil (zav. - *rof. A.S. Sharpenak) I
Uboratorii vysshey neryno7 deyatellnosti (zav. - prof. A.1.
Makarychav) Instituta pitaniya MIN SSSR, Moskva*
-1.
(HISTIDINE, effects.
~
dietary excess & lusuff., on metab. & funct. of
organism (RUB))

ol-le- oll'
report -!~btliitted at the 1.3th All-'-nion ConCress of
and Infectlionists, IP-f5P,.

MIMYEVA, L.I.; HIKOIA7EVA, N.V.; SLOVOKHOTNOVA, I.A.;
BCBIX, G.S.; AIAUVA, V.N.; STUPHIKOVA, G.A.; GUSAKOVA, I.A.;
GUS&RSI(AYA, V.V.; VOLCHEK, K.Is.; SKMOVA, V.N.-, PAROTA, V.V.;
IMISCHMU, F. It. ;
Connection between enamel, the dentine, and the organism as a
whole. Vrach.delo no.2:203-205 F '59. N-M 121:6)
1. Wedra biokhimil (sav. - prof.A.B.Sharpenak) Mookovokogo
meditsinskogo stomatologicheekogo instituta.
(TMUH)

SRLRPMK. A.R.. prof; SHISHOVA, O.A.; GOROZUMNK, L.A.
Yoffect of ionizing radiations on animals fed food containing
various levels of histidins. Ked.rad. 4 no.6:37-41 Je 15,9.
(MIRA 12:8)
1. Iz laboratorii biokhinii (zav. - prof.A.B.Sharpenak)
Inatituta pitaniya AW SSSR.
(RADIATION, eff.
eff. of dietary histidine on reactivity (Rue))
(HISTIDINE, eff.
dietary histidine on reactivity to radiations
in animals (Rue))

SHARPJNAK, A.M., prof.
rraceelements in nutrItion. Zdorovle 5 no.4:12-13 Ap 159.
(KIRA 12:4)
(MnMALS IN TIM BMT)
(TRACE ZLSKMM)

R. Moskva)
Hwwn guantitative requirements of proteins and individual amino
acids. Vop Pit% 18 U001:73-83 -Ta-y~ '59- (MnA 12:2)
UOTNINS, Uetab.
requirements, quantitative aspects (RUBD
(AMINO Aorm, metab.
same)

SRkRPXW, A.X.; ~ S.4BHOVA, O.A.; GOROZHANKINA, L.A.
Xffect of various histidine lerels in food on certain metabolic and
fanctional processes in the animal organism exposed to an 7anfaverable
environment. Vop. pit. 18 no-3:31-35 W-Je '59- OMU 12:7)
1. 1*z laboratorii biokhimii (zav. - prof. A.B. Sharpenak) Institnta
pitaniya ANN SSSR, Moskva.
(HISTIDIn, effects.
on metab. & physiol. funct. in animals exposed to
stress, dietary admin. (Rus))
(STYWS, eff.
on metab. & pbysiol. responses of animals to dietary
histidine (Ras))

-19444914MAdd TITRYAWS, O.K.
Anesthetic action of Fj vitamin (thiamine) Taste on hard dental
tissues. Stomtologila 38 uo.4sl3-15 Jl-Ag 59. 04M 12:12)
1. Iz Imfedry terpevticheskoy stomatologii (zav. - prof. Ye.Ye.
Platonor) I kiLfedry blokhimii (zav. - prof. A.3. Sharpenak) Moskov-
skogo meditsinskogo stomatologicheskogo initituts. (dir. - dotsent
G.H. Beletskiy).
(THLOUNE) (THERAPEUTICS, MTAL)

SHARPMAK, A.B.; BOBYLEVA, V.R.; GOROZHAWINA, L.A.; ALIKSANMVA, Ye.V.
Method for inducing experimentalclental caries in vhite rats. Stomato-
logiia 38 uo.6:3-9 R-D 159. (KMA 13:4)
1. Iz kafedr7 blokbimii (zaveduyushchly - prof. A.B. Sharpeaak) Kas-
kovskogo meditainekogo stomatologichookogo instituta, laboratorli
biokhimii (sav. - prof. A.B. Sharpenak) Instituta pitaniya ANN SSSR
i kafedry propedevtiki khlrurgicheskoy stomELtologii (zav. - dotsent
G,A. Taoillyev Noskovskogo meditainakago stomatologicheskogo insti-
tuts, (direk-tor - dotsent G.N. Beletakiy).
(TA&M-DISEASES)

SHARPENAK A.E. (USSR)
"Biochemical Aspects of Dental Caries."
Report presented at the 5tb Int'l. B&ocbemical ConLress3
MOUCOW) 10-16 Aur, 1961.

SHARPENAKp A.E.; BOBTLEVA, V.R.; GOROZHAMNA, L.A.; ALEKSANDROVA, Ye.V.
in cot
Method for producing experimental caries ton iiits. Stomtologiia
40 no.l-.12-17 Ja-F-!61L, I (MIRA -K: 5)
1 Iz kafedry biolchimii (zav. - prof. A.E.Sharpenak), kafedry
;r*opedevtiki khirurgicheskoy stomatolo*gii (zav. - dotsent G.A.
Vasillyev) Moskovskogo meditsinakogo stomatologicheskogo instituta
(dir. - dotsont G.N.Beletakiy) i la.boratorii biokhimii Instituta
pitaniya AMN,SS9R. (TEETIL-DISEASES)

SHARPENAK A E.,: BOBYLfXA,, V.11.; GOROZHANKINA, L.A.; ALEKSAIIDROVA, ye.v.
Role of the alimentary factor in the origin and prevention of dental
caries. Stomatologiia 40 no.40-7 JI-Ag 161. (KMA 14:11)
1. Iz laboratorii, biokhimii (w. - Prof. A.ElSharpenak) Institute.
Itaniya AMN SWR,.kafedra biokbimii (zav. - Prof. A.E.Sharpenak)
i
p
i kafedry propede~,tiki khirurgicheskoy stomatologii, (zav. doktor
m.editsinskikh nauk G.A.Vasillyev)--Moskovs~Qgo meCtsinskogo .
stomatologicheskogo instituts, (dir. - dotsent G.N.3eletski-),
(TEETH~DISEASDEQSJI

.SHARMAKH Anatoliy Ernestovich; YERSHOV, V.V.p red.; AIAVERDOV,
- I - WWHOVAI V.A. 0 tekhn. red.
[Organic chemistry] Organicheskaia. khimiia; d-lia studentov
meditsinskikh institutov. Moskva# Vysshaia. shkola. 1963.
337 p. (MIRA 17:2)

I
SHARPENA, A.E.; BOB'HZVP-, V.R.; GOROZHANKINA, L.A.
Role of nervous excitation in the development of dental caries.
Stomatologiia 42 no,3t7-10 MY-4063 (MIRA 17tl)
I- Iz kafedry biokhj-Tnii ( zav. - prof. A.B. Sharpenak) Moskvoskogo
meditsinskogo stomatolo.gicheskugu instituta.
I

SHARPENAEg A.B.; BOBYIZVA, V.R.; GOROZHANKINA., L.A.
R*2e of protein, lysine, some mineral substances, and vIta-
idm A and D in the prevention of dental caries.'Vop. pit.
2-2 no.2:39-44 Mr-Ap 163. (MIRA 17:2)
11
1. Is kafedry bickhimii (zav. A.E. Sbarpenak) Moskovskogo
meditsinskogo stomatologicheakogo instituta,

- SHARPENAK, Anato-Liy Ern.estoVi.ch, KOSENKC, Sergey AlekseyeviLh;
- -1
uU 17=bEHU-,-U, S, . FW-.
[Laborator-I work In organic chemistry] Fraktikum po orga-
nicheskoi khimii. Moskva, Vysshaia shkola, 1965. 170 p.
(MIRA 18:4)

VOROPAY, P.I.; 2HUKOV, G.V.; KA91YANOV, V.M.; SHARPILO, I.G.
Air cooling in piston compressors by feeding vater to an air flow.
Mash. i neft. obor. no.700-33 163. (MIRA 17sl)
1. Moskovskiy institut neftekbimicheskoy i gazatoy,promyshiennosti im.
akademika Gubkina i Upravleniye "Krasnodarneft'O.

17 (4) SOV/21-59-8-26/26
AUTHORS; Sharp;io, L. D., Sharpy'lo, V. P.
TITLE% A New Species of Trematode, Stephanoproraoides Markewitschi
nov. sp., from the Muskrat
PERIODICAL: Dopovidi Akademii nauk Ukrains1koi RSR, 1959, Nr 8
pp 923 - 925 (USSR)
ABSTRACTt The article covers a detailed description of a new species
of Trematode found by the authors in the small intestine of
Ondatra zibethica. L., caught in the Dnepr estuary in Ukraine
(Kherson oblast') on June 30, 1952. The new Tremadote
belongs to the genus Stephanoproraoides Price, 1934, (fam.
Cotylotretidae Skrjabin et Baschkirova, 1956). It was named
Stephanoproraoides markewitschi nov. sp. - in honor of A. P.
Markevich, Member of AS UkrSSR. Comparing the S. markewitschi
with S. lawi Price, 1934, which is the only species hitherto
Vmown, the authors differentiate them according to the follow-
ing principal characters: 1) The correlation between the
width and the-length of the body; S. lawi - at the average
Card 1/2 of 1:14, S. markewitschi - 1:4. 2) Correlation between the

A New Species of
from the Muskrat
SOV/21-59-6-26/26
Trematode, Stephanoproraoides Markewitschi nov. sp.,
length of the pedicle and the length of the bodyl S. lawi
at the average of 1:4p S. markewitschi - 1!5. 3) S. lawi
possesses a well developed sucker which is larger than the
pharynx. The S. markewitschi, on the contrary, has a poorly
developed oral sucker and a large mufflike pharynx which, in
regard to size, surpasses it by several times. 4) The S. lawi
has a long ovary, the ovary of the S. markewitBchi is short.
The uterus of S. lawi is located a considerable distance from
the lower edge of the pedicle, whereas the uterus of S. marke-
witschi borders upon it. Except these main characters, the
two species differ from each other by a number of subordinate
indications. All the comparisons and items mentioned above
Card 2/2 make it possible to describe the discovered Trematode as
a new species. There is 1 drawing, and 3 references, 2 of
which are Soviet and 1 American.
ASSOCIATION: Institut zoologii AN USSR (Institute of Zoology of the AS
Ukr8SR) (V. G. Kaslyanenko),,
PRESENTED: By V. H. Kaslyanenko/-Member of the AS UkrSSR
SUBMITTED: April 13, 1959

SEMLPrLo, f. d.
New species of*helminths from rodents and insectivorous animals
in the Ukraine. Trudy Ukr. reap. nauch. ob-va paraz. no. 3t
206-215 r64 (MM 19t1)
1. Institut zoologii AN UkrSSR.

PIDOPLIGHKOY I.G. [Pidoplichko, I.H.], otv. red.; VOINSrVFNSKIY,
E.A.[Voinstvens1kyi, M.A.), doktor biol. nauk zam. otv.
red.; KISTYAKIVSKIY, O.B.LKistiakivstkyi, O.B.I. doktor
b1ol. nauk, red.; MAZHUGA, P.M.[Mazhuha, P.M.], doktor
biol. nauk, red.; ASELENTSEV, V.G.[Abelientsev, V.11.]p
kand. biol. nauk, red.; SIL4RPILO,_ red.
(Terrestrial vertebrates of the Ukraine; ecology, distribu-
tion, history of the fauna] Nazemni khrebetni Ukrainy; eko-
logiia, pozhyrennia~ istoriia fauny. Kyiv, Naukova dunla,
1965. 123 p. (MIRA 18:9)
1. Akademiya nauk URSR, Kiev. 2. Chlen-korrespondent Ukr.SSR
(for Pidoplichko). 3. Institut zoologii AN Ukr.SSR (for
Abelentsev, Voinstvenskiy).

POLTAVCHUK, Maksim A:Lekseyevich; PAVLOV, I.P., doktor biol. nauk
otv. red.; SHARPIW L.D., red.
[Biology and cultivation of Dnieper pike perch in closed
bodies of water] Biologiia i razvedenie dneprovskogo su-
daka. v zamknutykh vadoemakh. Kiev, Naukova dumka, 1965.
256 p. (MIRA 18:9)

VODYANITSKIY, V.A.,, otv. red.; DOLGOPOLISKAYA, N.A... kand. biol.
nauk. rpri,: GREZE, V.N. . doktor biol. nauk., red.; IVLEEV,
V.S., doktor biol. nauko red.fdeceased]; PITSYK, G.K.,
kand. biol. nauk, red.; S L;aa_L.D.-t red.
[Studies of plankton in the Black and Azov Seas] Iss-.,e-
dovan:Lia planktona Chernogo i Azovskogo morei, Kiev
Faukova dumka.. 1965. 115 p. (MIRA 18:81
Akademiya nauk URSR, Kieve-,,2. Chlen-korrespondent,
AN Ukr*SSR (for Vodyanitakiy).

VODYANITSKIY, V.A., otv. red.; DOLGOPOLISKAYA, M.A., kand. biol.
nauk, red.3 VD-10GRADOV, K.A., doktor biol. nauk, red.i
GREZE, V.N.v doktor biole naukp red.; IVLEV, V.S., doktor
biol. nauk, red.[deceased]; KISELEVA, Yi.I.j, kand. biol.
naukv red.; S W PILO, L.D., red.
[Bentboal Bentos. Kiev, Naukova dumlca, 1965. 137 P.
NIRA 18:7)
1, Akademiya nauk SSSR. 2. Chlen-korrespondent AN Ukr.SSR
(for Vodyanitskiy).

OSIXIN, Valentin Illich., polkovnik; SHARPIID P N d.; MYASHKOVA, T.F.,,
tekhn. red.
(Disciplinary practice in the Soviet Armed Forces] Distsiplinar-,
naia praktika v Sovetskikh Vooruzbe=ykh Silakh. MoaWal Voen.izd-
vo M-va oborony SSSR, 1961. 78 p. (MIRA 14$12)
(Military discipline)

ZZUINTSOV, Andrey Andreyevich, polko7nik; SHWILO P N red. ; IM I KIN,
I.P.,.tekhn.red.
(Confidence in the soldier] Doveris k soldatu. Kosk7a, Toen.
Izd-vo X-va obor.SSSR, 1961. 79 P. (MIRA 14:12)
(Psychology, Military)

TITCV, Nikolay Grigorlyevich., polkovnik- SRARPIW, P.N.., polkovnikj, red.;
KUZIM 0 I.F,t tekhn. red, I
(Achievement after achievement;-noteis of a commander on socialist
compatititonj Za rubezhom - rubezh; zametki kommWira o sotsia2i-
sticheskom sorevnovanii. Mosk7a,, Voen.izd-vo M-va oborony.SSSR,,
1961, 91 p. (MIRA 3-4:12)
(Tanks (Military scieneq))

BARABANSHCHIKOV, Aleksandr Vasillyevich, podpolkovnik, kand. pedag.
nauk:, SHAgUID-,-~.. red.; HUKHANOVA, N.D.,, tekhn. red.
(Pedagogical basis for the training of members of the Soviet
Armed Forces]Pedagogicheskie oanovy-obucheniia sovetakikh
voinov. Moskva, Voenizdat, 1962. 150 p. .(MIRA 16:1)
(Russia-Armed forces) (Teaching)
-, i~q

GODULYAN, Ivan Stepanovich (Hodulian I.S.], kand. sellkhoz. nauk;
SHARPILO, Pavel Stepanovic Sliarpylo, P.S.1; ZADONTMT, A.I.,
zas. aeya nauki URSR, akademik; LIVENSKAYA, O.I.[Livenslka,
0.1.1, red.; GIUSHKO, G.I.[Hlushko, H.Ij, tekhn. red.
[Best preceding crops for corn] Kukurudzi - krashebykh popered-
nykiv. Dnipropetrovelk, Dnipropetrovolke knyzhkove vyd-vo,
1961. 22 p. (MIRA 15:7)
1. Direktor Vsesoyuznogo nauchno-issledovatellskogo institu-
ta kuku-ruzy i Vsesoyuznaya akademiya sellskokhozyaystvemiykh
nauk im. V.I.Lenina (for Zadontsev ).
(Ukraine-Corn (maize)) (Rotation of crops)

SHARPILO, V.P.
StudYing the helminth fauna of some reptiles of the Ukrainina S.S.R.
Trudy Gellm. lab. 9:370-376 159. (MIRA 13:3)
(MMIN7,-WOMS, IRTESTINAL AND PAMSITIC)
(PARASITES-RIWTILBS)

SH&RPIID, V.P. [Sha M 10, V.P.)
Study of helminth par"ites of vipers in the Ukrainian
S.S.R. Pratei Inat.sool.AN URSR 1509-63 159.
IMM 13:7)
(Ukraine-Worse, Parasitic and intestima)
(Pammites-snwces)

17 (4) SOV/21-59-8-26/26
AUTHORS: Sharpilog L. D., Sharptlo, V. P.
TITLEs A New Species of Trematode, Stephanoproraoides Markewitschi
nov. sp., from the Muskrat
PERIODICAL: Dopovidi Akademii nauk Ukrains1koi RSR, 1959, Nr 8
pp 923 - 925 (USSR)
ABSTRACT: The article covers a detailed description of a new species
of Trematode found by the authors in the small intestine of
Ondatra zibethica L.9 caught in the Dnepr estuary in Ukraine
(Kherson obla8t') on June 30, 1952. The new Tremadote
belongs to the genus Stephanoproraoides Price, 1934, (fam.
Cotylotretidae Skrjabin et Baschkirova, 1956). It was named
Stephanoproraoides markewitschi nov. sp. - in honor of A. P.
Markevich, Member of AS UkrSSR. Comparing the S. markewitschi
with S. lawi Price, 1934, which is the only species hitherto
kiiown, the authors differentiate them according to the follow-
ing principal characters; 1) The correlation between the
width and the length of the body; S. lawi - at the average
Card 1/2 of 1:149 S. markewitschi - 1:4. 2) Correlation between the

SOV/21-59-8-26/26
A New Species of Trematode, Stephanoproraoides Markewitschi nov. sD-.,
from the Muskrat
length of the pedicle and the length of the bodyl S. lawi
at the average of 114, S. markewitachi - 1:5- 3) S. lawi
possesses a well developed sucker which is larger than the
pharynx. The S. markewitschi, on the contrary, has a poorly
developed oral sucker and a large mufflike pharynx which, in
regard to size, surpasses it by several times. 4) The S. lawi
has a long ovary, the ovary of the S. markewitschi is short.
The uterus of S. lawi is located a considerable distance from
the lower edge of the pedicle, whereas the uterus of S. marks-
witschi borders upon it. Except these main characters, the
two species differ from each other by a number of subordinate
indications. All the comparisons and items mentioned above
Card 2/2 make it possible to describe the discovered Trematode as
a new species. There is I drawing, and 3 references, 2 of
which are Soviet and 1 American.
ASSOCIATIONs Institut zoologii AN USSR (Institute of Zoology of the AS
UkrSSR) V. G. Kaelyanenko)
A

PRESENTED: ,
By V. H. Kaslyanenko
; Member of the AS UkrSSR
SUBMITTED: April 13, 1959

SHARPILO, V.P. [Sharpylo, V.P.]
Studying helminths of sand lizard (Lacerta aglis L.) in
the Ukraine. Fratsi Inst. zeal. AN URSR 30:85-90 t6l.
(MIRA 16:8)

SHARPILO., V.P. [Sharpylo, V.P.]
Study of the holmintha of reptiles in Transcaudasia. Zbir. prats'
Zool.muz. AN URSR no.3ls63-69 162. OURA 17:2)

SHJMPILO, V.P.
Lar7al forms of nematodes,'the parasites of reptiles in the
Ukrainiwi S.S.R. Trudy Ukr. resp. nauch. ob-va paraz-. no. 3.-
112-124 164 (MIRA 19tl)
1. Institut zoologii AN UkrSSR.

SHARPIN. Semen Andreyevich; VITVITSW, M.9 red.1 BURKATOVSKAYA, TS.p
[Tables for calculating the wages of worker& and office paplayees
for'vacation time or compensatibn:for-urused leave; revised to
take into consideration the 6hange i;i tas price scale and
substitution of the new currency] Tabli~a7 411a ischioleniia sred-
nego zarabotka rabochikh i slusbashchikh pa vremia otpuekajili
kompensateii za neispollzovannyi otpusk; pererabotAMY s uclotom
immeneniia masshtabe tsen i zaiaenol obrashobaiushchikboia deneg
novymi denIgamis L' Ivovy knizhuo-zhurnallnoo izd-vo,,1961. 142 p.
IRA 140)
(Wages-Tables and ready reakoners)

S~IARP13EK, J.
Problems of the efficient use of materials in the machinery industry. p. 161.
(NOVA TEICFINM~, Vol. 2, No. 6, June 1957, rraha, Czechoslovakia)
SO: Monthly List of '~-ast European Accessions (EEAL) LC, Vol. 6, No. 12, Dec 1957. Uncl.

117
!NR:-_: -AP60138,
I suspendeA -to --a. tw
me phani sm' 8 o-wheeled f rame
The'outter cone i
driven f rom. the. tractor by means of. vel 4
a pr opening shaft and be
r A'p
_.gea ower of..50'..to. W hp. ib -needed f or: a 350-rpm.'rotation of
-screw. 99
the -The di ing output is - fiO to: 60 ou - mhr, The weight of
the , digger~_,As,_.300,.:k,6,': Th6 excavated, 51~-d; dele renoh is 0.3 m wide
p t
.2
at _'the:,~bottovt-:and~~,I-. 3 - wide at-. th6~- upper. surface -. :-.-The design of the
diggdr and- its dkive' a 'h6i~itioalli~..,,:tepreietited -- in'-: two figu
MAO
rag
In addition two' phoiog'show'--thd bpe rationi i~ - Origo art 0
has., figurds
IT DATE. ..,,No h6.
SUB -CODA: tX413
j":
2
-Card 2.1:-,

ACCESSION NR: AR4044012 SIOU8/641000/00'61EO87/EO87
SOURCE: Ref, zh.- Fizika, Abu. 6E664
AUTHOR: Postnikov, V. S.; Sbarshakov, l.'M.;. Maslennikov, E. M.
TITLE! The quoution of grainoboundtiry stres a relaxation in. pure metals
CITED SOURCE: Sb. Relaksats. yavlerdya v met. I splavakh. M. Metallurg-
izdat, 1963, 165-170
-TOPIC TAGS: grain boundary stress relaxation, stress relaxation,. metal,
internal friction
TRANSLATION: On 23 pure metals taken in the dnnealed state there are In-
vestigated peaks on the curves of the temperature dependence of internal
friction, connected with the viscous behavior of grain boundaries. For all
investigated polycrystalline metals, on the curve of the temperature dependence
of internal friction there is a peak caused by the existence of graiii broundarieu.
The height of the peak depends on the 'amount and fbim of the impurities; very
Card 1/2

ACCESSION NR: AR4044012
pure metals should have a high internal -friction peak, Available data show -that
the hbight of the peak internal-friction peak, Available data show that the
height of the peak in the case of Zn and Al depends significantly on the
frequency of the oscillations. Furthermore, periodic heating of single-crystal
Al and the macrocrystalline alloy of Al with 0.* 50/6 Cu causes the appearance of
a peak on the internal-frictiod temperature curve. This peak appears in that
temperature region where there is revealed the "grain-boundary it peak of in-
ternal friction of polycrystalline Al.' The - conclusion is drawn that i 'the. internals.
friction peak on the curve of the temperature dependence- of the internal
friction of a pure polycrystal may be caused not only by viscous Blip along
the grain boundary but-alio by some other mechanism.
SUB CODE: AS, MM ENCI./' 00
-Card 212

t
far
1k ;7!
=rWT. i7775f P7 U rM r")
ACCESSION NR: AT4046c~:70
AUT'HOR; Postnikov V S. , Gor6hkcv, G, A., Zolotukhin, 1. V. , Sharshakov, 1. M.
Us-anov, V.
TrrLE- Effect of different kinds of treatment on some properties of "IN-2 and SN-3 ateel
SOILMCE: AN S55R. Nauc]Myfy sovet Po probleme zharoProchnY*kb svlaviv,
Isgieclovanfva. staley I gplavov (Studies on steels atTd a1loys), Moscow,- -fid-vo Nauka,
1964. 367-i75
TOPIC TAGS: steel structure, steel crystallIzation. normalizing, 3teel strenvF.
steel InterniO friction. stoel cnid working, _p~jqen!j steel__
ABSTRACT: High-strength stainless steels of the transient austenitic-martensitic clase are
widely used. gince ffiev are between the austlenitic and martensitic grades ti.eir properttief
may be chOxiged writh ease. in the prt-sent artic!n, 'he effects of nor-nalizing. ccld wt)rkjn~-
and ;-i-ying'dn SN-2 ai)(7j stvc,13 are rons~~dered. The chernical compositon 01 ;,hi, qtp,-)

L 9963-65
ACCESSION NR- AT4046870
11imiting strength on the UP-0. 5 machine, and the microstructure under an MIM-8m
--;,microscope. The data are tabulated and shown in Figs. 1-3 of the Enclosure. The low,2st
strength and microhardpess %vere obtained -after norm,-dizing; the highest after additional
~,treatment by cold wo-;king and aging. All aged samples, no matter what treatment was used,
''had a lower strength at higber temperatures, At 450C, the strength drops sharply, wL-1le
jinternal friction changes in the opposite way. The hardening of steel after normalizing with
further cold %yorking lends to, a decre tri hiternal friction catiqed by disir.!(-gr,3d-ir, of
martensite anl fornn7it~r:n f-l' ~ cad)if'O in incrense in qtrenj~th -fit ro-,m tomp-ratures.
NUcroscop!c study ot s,oc-1 shows that the-1-T transformation begins near 4~kOC arid
ends near 750C, causing a r1sp in internall Friction. 7'hpoccurrenc~ of t1mq inerpage ;s not
_9iliCe -.hp on the ri)-vt- for SN-2 f;ter-* to &crne
Completely exTIa~:,,f~fl,
extent on the nori-nA;:z-1rrg emperatziz-e. 0-rig. art. haB- 7 figures and 2 tables.
ASSOCIATTON.- Nore
-T3. JTTFD- 6, T t: 7-~ C,
5 r NU
Myf

L 9-9 6 3 -.S
A CC E S-S 1%
Fig, 1.
of internal fricticr and (11
of SN-2 and SN-:1 str-k-I -)n tl,,e mecl~apical
and thermal trealment. D,,ita on strength
were "aRen frc-r-, flw irt
1, 4-SN-2 steel, cold worked, aged at
480C for 1 hour: 2, 5-S"'-3 steeJ , cold
worked, aged aL !5Q(.- Inr I hour;
3-SN-2 steel. norrnalizrd from 975C, cold
worked ia nitroguri. a-ged, 6-the S'-.-Iue'
normalized fron, ~,5~-,-C. colul w;-Ir!ri----d a'
-70C for 2 liourii. ;-i:rc(-..
-F-
t
1?91
fit
5 , ~77--
too
80
50
Ivoi
100 ZOO .300 uoO 500

ACCESSION NR: AT4046870
curve
Fig. 2. Depemdenceoftemparature a
of internal friction of SN-2 sler!t on mechardcnil
and thermal treatment:
I-normallzed from 9"; 2-norina'ized from
t
975C + cold working in I-dWrgenl 3-nonnalized
from 975C + coldworking nt 70C; 4-normalized
-T: ment
from 975C -~- compression of t !'I 6-treaL
the same as curve 2 4- agla4 qt 500C fir I liour;
7-trat-ment tl,.! 9,une z8 j-n curvc ag-ing;
8-treatment thp- .9ame as curve 5 + ap,11-ig.
ENCLOSURE: 02
0.;-
IOOF
80i
5. 6
~pv

T. 9963-65
ACCESSION ML- AT4846870
Fig. 3. Dependence of temperature
curves of internal friction of SN-3 steel Izo
on mechanical and thermal treatment:
I-normalized from 930C;
2-normalized from 1050C;
3-normalized from 1100C;
4-normalized + cold working in so
nitrogen; -. . I
5-normalized + compression of 30%;
6-normalized + cold working in nitrogen i
4- compression of 30%
7-normalized + compression of 30% +
~,\!!
ZOI -i
100 200 J00 400
ENCLOSURE- 03

S* 5

J
7

(t), P(bY
huiHOk: Postnikov, V. S.; Usanov, V. V.; S harshakov, 1. H.
TITLEt Effect of heat treatment on physical and mechanical properties
of austenitic-martensitic steels
SOURCE: IVUZ. Chernaya metallurgiya, no. 11, 1964, 149-154
TOPIC TAGS: austenitic martensitic steel, precipitation hardenable
steel, internal friction, resistivity. structure property
--ABSTRACT -.,:F e:~ aus-ten ifte-amartensi-t-ic--.3 tainless--s tee Ia- (see- Table 1
of the Enclosure) were studied by measuring their internal friction
and resistivity on cooling from 700-1200C and, in some cases, on
heating in an attempt to determine the effect of annealing temper-
ature on the character of structural changes and mechanical prop-
erties. The temperature dependence of the internal friction and
resistivity of steels A. B9 C. and E was found to follow the same
pattern (see Fig. 1 of the Enclosure). No peaks were observed on
internal friction-temperature or resistivity-temperature curves
for steel D which, unlike the rest of the steels, had a fully
L/4

L1752D-65
~ACCEOION HR: AP4049069
austenitic structure after annealing and air cooling. Temperatures of
the peaks of internal friction coincide with those of resistivity
peaks and the MStemperatures for A, B, C and E steels. The level
of internal friEtion at room temperature drops continuously with
annealingtemperature increased up to 850- 1000C and rises sharply
with further increases of temperature. The latter increase is ex-
plained by an increased stability of austenite and by some changes in
6-ferrite, apparently a precipitation of a-phase an the y-6 interface.
Orig. art. has: 4 figu.es and I table.
ASSOCIATION: Voronezhskty polytekhnicheekLy Lnstitut (Voronezh
Polytechnic Institute)
SUBHITTED: 20Apr64 ENCL: 02 SUB CODE: MM
NO REF SOV: 009 OTHER: 000 ATD PRESS:3151
Card 2/4

L 17520-65
ACCESSION MRS AP4049069
ENCLOSURE: 01
Table 1. Chemic .&I composition of
austenitic-martensitic stainless
steels
C Cr N1 M6 W Al
A . . . . . . . . 0.07 16,80 5.35 1.85 - -
B . . . . . .. . . 0.10 15.33 5.85 - - 0,72
C . . . . . . . . 0.08 16.45 6.53 2.36 0.8 -
D . . . . . . . 0.01 16,02 11.1 - - -
E 0,09 16,13 '6.99 - - -
Card 314

L 17520-.0
ACCESSION N.R.- AP4049069 ENCLOSURE: 02
ISO-
5 7 -978
15V0
Fig ~-T-emverature dapendenca on
12 a inte A during
rwal -frtc. -on--bf St-eel
coo-ti-rig 41`0--m ~ 450C-'~IY '650C (2),
so- 950C (3), 1050C (4), 1200C (5), and
~4 heated after cooling from 1200C (6),
6 and of resistivity during cooling
60 3 M" from 850C.
40 so 0 160 2W
Temperature C
Card -4/4
F.,

40927-66 E'XT(m)/T I 'F(c) J D
ACC NR, AP6030180 SOURCE CODE; UR/0148/66/000/005/0144/0146~
AUTHOR: Postnikov, V. S.; Shar2a#,k.V,,, Usanov, V. V.
ORG: Voronezh Polytechnical Institute (Voronezheskiy politekhnicheskiy institut)
TITLE: Amplitude frequency dependence of the internal friction of certain steels
SOURCE: IVUZ. Chernaya metallurgiya, no. 5, 1966, 144-146
TOPIC TAGS: internal friction, austenite transformation, plastic deformation,
carbon steel, chromium steel, nickel steel, torsional vibration/50 carbon steel,
Khl7N5M3 chromium steel, Khl6N6 chromium steel,/Khl6Nll chromium steel
ABSTRACT: Any m .easure .. of internal frictiouls understandably divided into'
two components: amplitude-independent and amplitude-dependent. This
,division is arbitrary since these forms of internal friction usually over-
~Iap one another and likewise can be interrelated.
In connection with contradictory experimental data relative to
the frequency relationsbip of the contributions of both types of internal
.feiction and the almost complete lack of these data for low-frequency
to,~sio tvibrations, the present researo was un4ertaken. Carbon steel
50~ andlihromium-nickel steels XWM51131'~KKMN61 )and KhIOAXII~ 1~ere
The internal friction was measured on a torsion. pendulum on specimens I 'mm
.in diameter and 100 mm long. The shear strain amplitude was measured be-
tween 3.- 10-5 to 8 - 10-4 and frequency from 0.4 to IS cps. Recording of
.data, at low frequencies was done visually but at the high frequencies with
~an-N700 vibration oscilloscope..
Card 1/2 UDC* 66*1~.15:539'-67

L 110927-66
ACC NR; AP6030180
Before measurement of internal friction all specimens were annealed
.in a closed quartz tube at 10600C for 4 hours. The Cr-Ni-steel spocimens
-were later subjected to normalization at 800-IIOOOC and the ateol 60 speci-
mens were quenched in water from 7400C.
Resulting data were in agreement with results obtained by others.
-4 does not change the
The increase in shear strain amplitude to 1-2 , 10
:value of internal friction. Further increase in the shear strain ampli-
;tude leads to an increase in internal friction.
The increase in internal friction level with the normalizing tem-
~perature decrease is associated with the transfonuation of austenite into
martensite and their different inclination to plastic microdeformation.
The increase in vibration frequency of the specimen from 0.4 to 2.5
cps for steel Khl7N5li3 (and Khl,621) and to 4cps for steel 50 does not
have any noticeable effect on the internal friction components. Further
increa, se in vibration frequency of the specimen increases the internal
friction whereupon the greater the shear strain amplitude the sharper the
increase in internal- friction. Orig. art. has: 4 figures. IJPRS: 36,7743
SUB CODE: 11, 20 / SUEM DATE: 17Dec64 / ORIG REF: 006 / OTH REF. 006.

L 44397-66 EwT(m)/Ewp(w
'007
AUTHOR: Sharshakov, I. M.i Postnikov, V. S.
ORG: Voronezh Poly itut)
technic Institute (Voronezhskiy politekhnicheskiy inst
TITLE; Some physicomechanical properties f austenitic-m;artensitic type steels
SOURCE: IVUZ. Chernaya metallurgiya, no. 7, 1966, 123-125 13
TOPIC TAGS: austenitic steel, martensitic steel, cold deformation, martensitic trans-
formation, Internal friction, mechanical property, magnetic property, metallograpbic
examination / Khl7N5M3 steel, Khl6N6 steel 14
ABSTRACT: A stydy Pas made of the effect of plastic deformation on internal friction
Q 1, magnetic properties, ultimate strength and relative elongation for steels'having
the following compositions:
C Ni Cr Mo Mn Si
Khl7N5M3 :14 0.08 5.33 15.95 3.08 0.20 0.24
Khl6N6 0.06 6.35 16.38 - 0.50 0.36
The steels were annealed, drawn into wire with diameters ranging from 0.71 to 0.95 mn,,(
~t
normalized at 975 (Khl6N6) and 9300C (Khl7NSM3) and again drawn into wirelo'f 0.7 mm
diameter; initial amounts of deformation were in the range 0-45% ' The dependence of
all physicomechanical properties on deformation was identical for both steels. in thel
i
C-rd 1/2 UDC: 669.15-19Lt.26124128:539.67:539.1

ACC NR:
first region (0-9% deformation) the values of Q-1, strength and magnetization rose
sharply while relative elongation dropped sharply. In the second region (9-20% de-1
formation) the above properties changed only slightly. in the third region (20-45%
deformation) Q-1, strength and magnetization again rose while elongation dropped. The
plastic deformatkon changed austenite into martensite resulting in strengthening. .4
Microstructurestconsisted of residual austenite, carbides at grain boundaries and Tfiar-
tensite. With increased amounts of deformation the quantity of martensite increased,
raising magnetization due to the increased amount of ferromagnetic phase. For O-ld%
deformation, the increased strength was not due to martensite but to cold working
!he O~
austenite. In the second region, martensitic strengthening was slight but in r
third region martensite played a dominent role in changing the properties. Orig. art .
has: 2 figures, 1 table.
SUB CODE: 11,7,()/ SUBM DATE: 02Feb65/ ORIG REF: 010
c.,,, 2/2

-z-dT(m!/T/E7wP( /r'.T1 --IJP(c) ---JD--
-F-1-L-47289
souRcE coDE:
AP6032053
AUTHOR: Sharshakov, I. M.~ Postnikov, V. S.
uR/o148/66/ooo/o09/0131/0l36
ORG: - Voronezh-Polytechnical Institute (Voronezhskiy politekhnicheskiy institut)
TITLE: Temperature dependence of the mechanicallpropertiv of (pre arde
austenitic-martensitic steels
SOURCE: IVUZ. Chernaya metallurgiya, no. 9, 1966, 131-136
:TOPIC TAGS: Asustenitic martensitic steel, steel property, precipitation harden).do-,
steel, stainless steel, chromium nickel molybdenum stn,1/Khl7N5M3 steel, Khl6N6 steel,
r-O
ABSTRACT:1,96he effects ofheat tre ment( chemical composition Aibd strain hardeningi -/6
IT
/n the internal fricti,n'ad mechanical properties of,,EhlTN5M3 precipitation-harden
able bteel (nickel-5-33%, chromi -15-95%, molybdenum-3.08%, and copper-0.18%) and j
I
-'xh16N6j[AISI3O11.j&Ajn1ess ste t 20-550C has been investigated. Steel specimens,.
after being heat treated unde^arious conditions, were tested. On the basis of
obtained results, the temperature dependence of internal friction, tensile strength
and sheer modulus was plotted. Fig. 1 shows this dependence for Khl7N5M3 steel with
curve numbers referring to the following heat treatments: 7 - annealed at 1500C for
4 hr and furnace cooled; 8 w- same as 7 and additionally annealed at 930C for 20 min
and air cooled; 9 - annealed at 930C for 20 min and air cooled; 10 - same as 9 and
additionally refrigerated at -78c; 11 - annealLed at 1000C and air cooled. It was
Card 1 3 uDc: 669.15-194:669.26124128i620-17

L 47289-66
ACC NR% AP6032053
-66,kg/MM2
Card Wd-
Fig. 1. Temperature dependence of inter-
oj (Q-1.10-4). curves 7-10j,
nal fricti
tensile stAngth (6b) curves V-1013,and
shear modul6s (square of frequency) curves
V-10" fo'4KUMM3 steel
0
A-
im 200 JW' 409 -SW
T-emperature, *C-

L 4720"9-60'
ACC NR: AP6032053
found that during tensile tests at 20C, austenite transforms into martensite. No
martensite was found in the furnace-cooled specimens at 60-150C. However, martensite!
forms at that temperature range under the effect of deformation. Therefore, the
values of tensile strength obtained in tensile tests at temperatures below 150C are
higher than those which can be expected on the basis of initial structure. The
strength of strain-hardened or refrigerated specimens was not greatly affected by
stretching since martensite transformation has already taken place during refrigera-
tion or deformation. For instance, the tensile strength of Khl6N6 steel specimens
which were not strain-hardened was 98.8 kg/mm2 at 20C and 55.1 kg/mm2 at 150C.- The
strength of strain-hardened specimens with 12% deformation was 113 kg/na~-at 20C and I
82.8 kg/MM- 2 at 150C; with 45% deformation it was 160 kg/mm2 at 20C and 151 kg/mm- at i
150C. Thus, the-difference between the values of tensile strength at 20 and 150C
drops with increased martensite content and increased reduction. Orig. art. has:
4 figures and 1 table. (TD]
SUB CODE: 1l/ SUBM DATE: 08Feb65/ ORIG REF: 0091 OTH REF: 002/ ATED PRESS:
5093

-S tj t-) iV 0 J,
AUTHM 37EPMOVA.N. v-SEARSMOV,A.Ae PA - 2265
TITIM Strong Focusing in Linear Electronic Accelerators. (Sirnaya
fokussirovks, v lineynykh elektronnykh uskoritelyakh, Russian).
PZRIODICALs Ate-na4s Energiia, 1957, Vol 2, Nr 2, pp 178-179 (U.S.S.R.)
Reoeivedt 3 / 1957 Reviewed: 5 / 1957
ABSTRACT: In linear electronic accelerators working with apropagated Wave the
radial focusing of the particles the velocity v of which does not yet
attain the velocity of light o is usually realized by means of a longi-
tudinal magnetic field. With v -~ o the defooussing power exercised on
the electron by the high-frequency field shown a tendency towards zero.
The deviation r of the particle fran the axis of the accelerator in
this came grown slowly with growing energy. If such a bundle can be
produced that r is small at the output of the bundle fram the acoelerar
tort it is obvious that no additional focussing is necessary. If this
is not possible, or if greater demands are made on the smallness of r,
additional focusing beoanes necessary. This additional focussing can
be realized by a system of alternatingly focussing ana'defocussing
magnetic or electric quadrupole lenses. In this respect the foUowing
in here presupposed; Along the acoelemtort magnetic quadrupole lenses
are fitted in such a manner that every n-th sector of the system con-
aints of two quadrupoles. Purthermoret the energy increabe of the-pax-
ticle in the n-th sector must be small oampared to the energy of the
particle at the beginning of the n-th sector. If, besides# the lentic-
Card 1/2 ular parameters change only little with a change of the number n, the

PA - 2265
Strong Focussing in Linear Blectronio Accelerators.
equations of motion of the particle are differential equations with
almost periodic coefficients. For the solution of these equations
see A.A.SHARSHANOV, Otohet PII AN USSR (= report of the Physical-
Technical Institute of the Rzainian AoadaW of Science j reviewers' a
note). Formulae are given for the amplitude of the oscillations of
the particle; furthermore, an expression for the meximin angle dif-
ferenoe is given. - An estimation shows that it is necessary to pro-
duce magnetic fields with a gradient of % - 10 - 100 gause/cm for
the focussing of electrons in linear accelerators by magnetic lenses,
where the length of the quadrupoles in 1 - 20 - 200 cm. It is useful
n
to arrange the lenses at great distances from one another in such a
way that D. >> 1n and Dn ~> dn applies. (No illustrations).
ASSOCIATICK: Not given
I ) BE
SUMMITTO: 19.9-1956
AVAILk=: Library of Congress
Card 2/2

0000-1p"lheory of particle beam focusing by means of a transverse leas
system in the linear accelerator. Atom.energ.supplement no.4:83-92
157. (MIRA 10:10)
(Phrticle accelerators)

/1) 1-7;
AUTHORS: Sharshanov, A. A., Stepanov, K. N. 57.r27-7-10/40
TITLE: Ort the Propagation of Electromagnetic Waves in Aliost Puriodic
,7ave Guidf--s (Oras-prostrananii elektromaLgnittLykh voln v volnovo-
dakh, blizkikiL k periodicheskim)
PERIODICAL: Zhurnal Tekhnicheskoy Fiziki, 1957, Vul. 27, 11r 7, Pij- 1474-1481
(USSR)
ABSTRAM The propagation of electromagnetic waves in a chain of endovibra-
tors connected with each other bj small holes and in wave guides
"loaded" with dielectric disks is investigated. It is as5uiaed
that the systems are almost periodic. At first the equations for
the wave-propagation in the chain of endovibrators are derived and
the wave propagation ~iith a frequency near to the transmission-
band is investigated. Then the wave propagation in the wave guide
loaded with dielectric disks is investigated and the system of
tial a aations
equations for it is derived. Finally the different
with slowly varjine coefficients are solved. There are refe ei~
6 of which are Soviet.
ASSOCIATIOV: Phjsico-Technical Institute AS Ukrainian 55H, K-hartkov (Fiziko-
tekhnic;_,es1:ij institut A!, USSA, Kharikov)
SUMIAITTLL: jur~te 21 , 1956
-lie
&.1, "_
_V _V;M- J?ditzgiTM64aves-Propsgation 2. Wave guides-Appl-ications
Card 1/1

AUTHORS Stepanov,K.N., Sharshanoy A-A 57-8-29/36
TITLE The Strong Focus1_ng_1n_=near Electronic Accelerators.
(Sil1naya fokusirovka v lineynykh elektronnykh uskoritelyakh-Russian)
PERIODICAL Zhurnal Tekha.Fiz.,1957,Vol 27,Nr 8,PP 1863-la6g (U.S.S.R.)
ABSTRACT The radial motion of a strongly relatiYistic electron in a linear
accelerator with strong focusing is investigated.Magnetic quadru-
poles are absorbed along the accelerator.This is carried out in
such a way that the nth sector consists of two quadrupoles of a
length of ln(each).The quadrupoles create a magnetic fieldt
. +H'x H = 0
Hx- �H1 H
W
n z
y
The plus sign refers to the first and the minus sign to the second
lens.The first defocuses in direction y and focuses in direction x.
The second focuses in direction y and defocuses in direction x.The
authors show that for the focusing of electrons in a linear accele-
rator by means of magnetic quadrupoles it is necessary to produce
magnetic fields with a gradient Hn--elo-5o Gauss/cm and a quadrupo-
le length of ln,-.,2o - 2oo em.
( 4 Slavic references ).
ASSOCIATION Khar1kov Physical Technical Institute of the Academy of SciencEsof
the Ukrainian SSR.
(Fiziko-tekhnicheskiy institut AN USSR,Kharlkov).
SUBMITTED February 9, 1957
AVAILABLE Library of Congress
Card 1/1

16(1) 0578-1
AUTHOR: Shar shta A. A. (Khar kov) SOV/41-11-4-7/15
TITLE: Extension of Floquet's Theorem to Nonlinear Equations
PERIODICAL: Ukrainskiy matematicheskiy zhurnal, 1959,V01 11,Fr 4,PP 413-430
(USSR)
ABSTRACT: The well-known theorem of Floquet on the existence of two linearly
independent solutions of a certain kind for systems of two
linear differential equations with periodic coefficients is
formulated at first in the following weakened form: For a system
of two linear differential equations with periodic coefficients
a system of two equations with constant coefficients can be
given so that for the same initial conditions the values of the
solutions of both systems are identical for t-values which are
equal to an integral number of periods. The author shows that
under certain assumutions this weakened formulation of the
theorem can be transferred to the nonlinear case.
The author mentions A.Morkin. He thanks N.I.Akhiyezer and
A.D.Myshkis for the d-1--cussion of the results.
There are 7 references, 4 of which are Soviet, and 3 French.
SUBMITTED: April 23, 1959
Card 1/1

9
16(1)
AWHORs Sharshanov,A. SOV/20-127-6-10/51
TITLE: Extension of Floe's Theorem to Nonlinear Equations
PERIODICAL: Doklady Akademii nauk SSSR,1959,vol 127,nr 6,pp 1179-1182 (USSR)
ABSTRACT: Given two real functions u(x,y) and v~x,y). Problem: Find
functions u(xtyt), V(x,y,t) satisfying the following conditiona-
l. u YiO X (XVYPO) - y
U XPY)t V(Xpytl) - V~X,Y)
2. *X,Y,1~ : ) i v
3. u U(x,Yot, , v(x,Y,t + t2)
1~1 t2J - U(Xly#tl
v[U(XVyVtj)V V(X,Yptj~, t2l - v(xlylt,+ t2)
Theorem ii If u(x,y), v(x,y) in the neighborhood of the origin
admit the series re-6resentations
u(x,y) - Alox + A01y + A20X 2+ Alixy +...
v(x,y) - Biox + Boly + B20X 2+ Blixy +...
where A10 A01
(4) A . I -B 10 B01i >O,
if besides either
Card 1/3

Extension of Floe's Theorem to Nonlinear Equations SOV/20-127-6-10/,cl
A10 +B 011 I
(9 21Z iD
and + P / 1-k
(20 - iD =+k
where A +B
(7) p - 1n VZ, cos D 10 ~01
27,&m
and 1,>02 k>--l are integers, then there exists a neighborhood
of the poinrx - 0, y - 0 in which ,
(10) U(X,Y,t)-o~0(t)X+GC61(t).V+o~0(t)x 2+cc-11(t)x-v+0%2(t)y2+....
V(Xv'Y,t)-010(t)X+901(t)Y+t~0(t)x 2+911(.t)xy+902(t)y 2..... .
The theorem is used for finding for a nonlinear system of
differential equations the right sides of which are explicit
periodic functions of the time, a system of differential
equations with just as many eqi1ations the right sides of which
Card 2/3 do not depend on t, where the solutions of both systems agree

10
Extension of Floe's Theorem to Nonlinear Equations SOV/20-127-6-10/51
in the points m#T of the t-axis, where m is integral and T is the
period. For this aim the method of analytic iteration of A.N.
Korkin is generalized to the case of two variables. The author
thanks N.I.Akhiye2er and A.D.Myshkis for discussions.
There are 6 referenpes, 3 of which are Soviet, and 3 French.
A330CIATION:Inetitut matematiki Sibirokogo otdeleniya Akademii nauk SSSIt
(Institute of Mathematics of the Sibirian Section of the AS USSR)
PRESENTED: May 4, 1959, by S.L.Sobolev, Academician
SUBMITTED: April 14, 1959
Card 3/3

80048
4,3~00 S/020/60/132/01/16/064
AUTHORt Sharehanov, A.A. 1~0
"wa"~
TITLEs Systems of Or ~nary ~ferential Equations With an Explicit
Periodical Dependence on the Argument
PERIODICALs Doklady Akaclemii.nauk SSSR, 1960, Vol. 132, No. 1, pp 67-70
TEXTt The paper is a continuation of (Ref. 1). Given functions u(xjjVz)
and V(Y-,Y,Z) ; D(u,v)_> 0 periodic in z-(period = I)t analytic In xiy, and
D(xgy)
pievew-ise dtffe-rentiable in z. The author seeks functions u(X,Y,Ett) and
v(x,y,~,t) which are periodic in z (period = 1), sufficiently often
differentiable with respect to t-, analytio.in x,y, for which
D(u.v) / 0 ancl wh:i-ch satisfy the conditions
D(x,y)
1) u(:X,Ygzto) = x ; V(Xtytzvo) - y
2) u(x,y,z,l) = u(xvy,z) ; v(x,y,z,l) = v(x,y,z)
3) u[u(x9Y97-9t)-9 v(xvY9z9t), z + tj, t21 a U(XOYOZttl + t2)
V'LU(X,YIZ,tl)g V(XIYIZttl)v Z + t1f t2] - v(xlylz,tl + t2)
Card 1/4

80048
Systems of Ordinary Differential Equations B/020/6o/132/01/16/064
With an-Expli-cit Periodical Dependence on.the Argument
If the functions exist, then they satisfy the system
(2) il, If (Up v 9 V) t !Lv V
dt cit 0 W(Utri V) 9 -L ~ I
dt
where V - z + t (and T and 4, have the period in V
Theoremls Let u 1 x,y,z)g vl(x,y,z) and u,(X,YOZ), V2(X'Y'Z) satisfy the
above conditions ; for an-integral n let u i(xpytn u2 (x,y,n) , vl(x,y,n)-
V.2(x,y,n) ; for z ~ n let the functions be arbitrarily different. Then
the two corresponding systems (2) with the right sides fl,'t and It
1 Y2 9 2
have solutions-which-agree for equal initial conditions for t-values being
equal to -an-1utagral-numbe-r- of periods.
Theorem 2t In the neighborhood of the point x=y-O let 2
(4) U(X-,Y,Z)=*C(Z)+ AjO(z)(x-,,4(z))+ Aoj(z)(y~ B(z)+ A (z)(x--x(z)) +
20
6v(x,y,z)= B(z)+ BjO(z)(x--((z))+ B01(z)(y- B(z))+B20(z)(x--t(z))2+
Card 2/4

80048
Systems of Ordinary Differential Equations S/020/,60/132/01/16/064
With-an'Explici.t Periodical Dependence an the A rgument
where -C(z) = B(z) 0 . Let the roots fl' ~2 of
A10 (z) A OI(E)
(5) 0
B (Z) B (Z)
10 01
do not depend on z and let them be either 1) co mplex conjugated and

different or 2.) real-, where. fl 32 > 0 91
/ 32 31 n-q q
31 32
52 .n,- q gq and either
2 11