SCIENTIFIC ABSTRACT KOROBCHANSKIY, I.M. - KOROBEYNIKOV, B.A.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000824730002-5
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 14, 2000
• Sequence Number: 2
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

KORUC-111a"SKIY, I.E.
The Committee an SWIn Prim (or the Cotniell of Ministere USSR) in the rie.Laa vL
science and inventions awwunces that the follwding scientific vorkap popular salan-
tiric boWw, and textboWw have been submitted for competition for Stalin Prizes for
the years 1952 and 1953. (SovetjkM MI p* Noiscow,, No. 22-40., 20 Feb - 3 Apr 1954)
Nam
Korobehanskiy, I.M.
Y,uznetsov, X.D.
Title Of WOJIL
110alculation of Equip-
ment for Capturing
Chemical Producl,.s of
Coking"
Nominated by
Donets Industrial Institute
tpeni N.S. Khrushchev
SO: ..W-3o6o4,, 7 Jay 1954

S10611611000102010011089.
B103/B101
AUTHOR: Korobch4uak1y~. Ye.
TITLE: The Soviet Union as the country in which underground coal
gasification was fix-at developed
PERIODICAL: Referativnyy zhurnal. Xhimiya, no. 20f 1 961, 1,abstract
20A4 (Tr. Donetsk. industr. in-ta, v. 38, 1960, 13 - 18)
TEXT: This is a short description of the .*.iistory o f the technical
development of underground coal gasification in the USSR. The coming
tasks in this field are indicated.
Card 1/1

82774
SOV/184-59-5-1/17
X'#Z0
AUTHORS: Sorochenko, A.F-, Korobobanskiy, O.A., Engineers
TITLE: An.Automatic Filtering Centrifuge With Sediment Removal by a Knife
PERIODICAL- Khimicheskoye mashinostroeniye, 1959, Nr- 5, PP. 1-3 (USSR)
ABSTRACT: The first industrial model of the "Ar-;XO-23 " (AG-~2OO-2U) filter-
ing centrifuge with subleyer regeneration by outside washing Is
described. The centrifuge was manufactured at the imeni Frunze
plant in Sumy. It was tested on the regeneration of foundry loam
wider unfavourable conditionsbecause the pulp had a clay component
and the sand had sharp edges. In the standard periodic action
automatic filtering centrifuges the sediment cannot be removed
entirely by a knife. The authors designed a special rotor and a
sublayer regeneration device for centrifuging suspensions with both
soluble and insoluble solid phases, The filtering base is a shell
formed by a helically wound wire of trapezoidal cross-seotion having
a clearance of 0.2-0 3 mm between wires. This sieve is fixed in the
totor (Fig. 2). The regetieration of the filtering base and the sVD-
layer is performed by a strong water jet directed from outside to
the rotor. The water sprayer moves reciprocally parillel to the
Card 1/ 3 rotor axis. The servomotor and the water supply are switched on by

6.2774
sov/184-59-5-1/17
An Automatic Filtering Centrifuge With Sediment Removal by a Knife
J, relays. Tests were carried out on the "Ar -6oo" (AG-6oo) semi-industri-
al centrifuge, confirmed the possibility of separating the molding
loam suspension under conditions of full automation. Figure 6
shows an operational diagram of the AG-1200-2U cMtrifuge. The
washed sand passes from the classifier into the container with a
mixer (1) placed 1,5 m above the feed pipe of the centrifuge (2).
The pulp is fed to the centrifuge through an automatic charging
valve (3) in the bottom of the container. The separated liquid and
the washing water are draihed through a common pipeline into the
settling tank. . The centrifuge worked under the following conditions:
RPM - 430; sandlayer thickness - 85 mm; sublayer thickness - 8 mm,-
pulp composition: sand - 68%, clay - up to 2%, the rest was waterj~
water pressure for regeneration in the,sprayer - 6 kg/cm2j the-
removal of the fine solid phase with the separated liquid - ~Z~5 9~1-
The different phases of one operating cycle of the centrifuge were:
charging - 20 see, centrifuging - 60 sea, discharging - 25 see,
regeneration of the sublayer - 60 sec,'total - 2 win, 45 see. The
efficiency of the centrifuge was 4,600 kg/hour of sand dried to a
humidity of 3.8 4.8%. Characteristics of the centrifuge are:
Card 2/3 rotor diameter 1,180 mm; rotor speed - 430 rpm; eleetriamotor
82774
SOV/184-59-5-1/17
An Automatic Filtering Centrifuge With Sediment Removal by a Knife
10 kw; rotor volume - 240 1; weight of the centrifuge - 7,600 k9.
During 100 hours of industrial tests the knife and the comb of the
level regulator (easily removable steel Parts with a hard alley
surface) had to be exchanged once. Other Parts exposed to the pulp
had no noticeable wear. The relatively low speed of the rotor is
sufficient for the purpose described because of the good filtrability
of sand. For centrifuging intermediate products of the plastics
Production' e.g. Polyvinyl chloride resin suspensions, Polyethylene
and others, the rotor speed can be increa4ed to the values necessary
for each Particular case and the liquid pressure for regeneration
can be increased to 8-10 kg/cm2. There are 2 photographs, 2 diagrams
and 2 graphs.
Card 3/3

bmm low mm-atur~ aid maim
da t

/77~
KMOBCIMNSKIY. N.Yo. tdonessed); XIXNWSOV, 9.D., 4*ktor tokhalaheakikh nauk:
XYDIMIKAN, Ye.Ta., kandicUtt tekhnichaskik-h nauk; POTASHNIKOTA, K.K.,
Inahener- rm~-RIILqrjy- L&Limndidat tekhnicheskikh awk; SIRIM,
N.P., kandIdAt to a c I RYh nauk.
Investigating the process of selective crushing of some Donets Basin
coram. Koko I Wm.no.6-08-13 156. (MLIA 9:10)
LGhlon-karrospendeat Akelemit nauk USSR (for H.U.Kerebahanskly).
2.Denetakly IndustrIalliry Institut Iment N.S.Xhrushchava.
(Coal preparation)

Sov/68-59-10-11/24
AUTHORS: Kuznetsov, M.D., wid Sagalovskiy, Sh.M., Korobehanskiy,
V.I., Lyannaya, Z.G., and Popova, Ye.V.
TITLE: An Additional Dephenolisation of Spent Ammonia Liquor
in an Injection Type of Apparatus
PERIODICAL: Koks i khimiya, 1959, Nr 10, pp 37-39 (USSR)
ABSTRACT: After dephenolising spent ammonia liquor with steam in
filled scrubbers, the residual content of phenols amounts
up to about 0.6 g/litres. The possibilities of an
additional dephenolising in an injection type apparatus
has been tested on the Makeyevh& Works. The apparatus
consists of a Venturi tube oonveying a stream of steam,
into the narrow part of which (throal.,A) spent liquor is
injected. The latter is dispersed into fine drops,
thus developing a *large area of contact between the
gaseous and liquid:phases. A similar apparatus was
used for the dispersion of alkali solution with steam
containing phenols which pass into the solution forming
phenolates. The diagram of the experimental installa-
tion is shovn in fig 3. After each venturi sprayer,
Card 1/3 theseparation of gas and vapour phases was done in

sov/68-59-10-11/24
An Additional Dephenolisation cf Spent Amonia Liquor in an Injection
Type of Apparatus
cyclones. The dependence of t,-he degree of dephenolation
of water on specific steam conaumption at various steam
velocities is shovial in f ig 1. A 'P87 -10 9(Y,- dephenolation
takes place on chemging the consumpt4on of-steam from
2 to 5 MI/litres, whereupon the concentration of phenols
in water varied from 0.035 to 0.015 g/litre, ie, a high
degree of puxification was obtained. Data on the
absorption of pheriol's from, szeam. are given in fig 92.
The coefficient o-f the useful aotion of the apparatus
changes from 82.3 to BY.91/6 on changes in the steam
velocity from 35 to 80 m. sej f,,,)r solutions contaiaing
below 6% of phenols. On the basis of the data obtained
the degree of dephenolation of water after scrubbers for
a system of recirc,ulation of steam was calculated. The
basic data: concentration of phenols in the feed water
Cl M 0.2 g/litre; the oontent of phenols in the alkali
solutioninto dephenolislag s-_rabber: alz 6, 8 and 10
g/iitre; the amount of re-ArOulated steam V J 2.5 and
Card 2/3 5m /litre of water. The re-guJ.'V'*s are given in the table,

Sov/68-59-10-11/24
An Additional Dephenolisation of Spent Ammonia Liquor in an Injection
Type of Apparatus
where: the degroe of desorption of phenols from
water C - concentration of phenols In dephenolised
water, g/litre; - consumption of fresh alkali
solution, litre/M~ of water. The content of phenols
in the dephenolised water would be from 9.0247 to
0.0433 g/litre. Pressure drop in the vbntury sprayer
-will-be 350-400 mm H,O. There are 3 figures, 1 table
and 4: Soviet refereates.
ASSOCIATION: Donetskiy industriallnyy inst-itut
(Donets Industrial Institute)
Card 3/W

WMBOWSKIY, V.I.; MMRDVS]rAYA. D.P.; GOROKMVA, Z.Ya.; SHMIN,1a,11~
--Z ---------- :_~
Removal of carbon disulfide &om bensol by an alkaline solution- -
of methanol. ZDke i khim. no".12:36-38 160. (NIRA 13:12Y
1. Douetskly politakhnicheskiy institut (for Zorobehauskir). i
2. Nakeyevskiy kokookhimicheekly mod (for Smotkin).
(Benzene) (Carbon disulfide)

KOROBCHANSKIY V I DUBROVSKAYA, D.P.; MIROPOLISKIY, G.S.
Dephenolization of waste waters by the extraction method using
an injection-type apparatus. Koks i khim. no.12:40-1+3 163.
(MIRA 17:1)
1. Donetskiy politekbnicheskiy ifistitut (for Korobehanskiy).
2. Makeyevskiy koksokhimichaskiy zavod (for Dubrovskaya, Miropollskiy).
L 77, ',1
USSRIProcesses and Equipment for Chemical Industries - Control and Measuring Devices.
Automatic Regulation, K-2
Abet Journal: Referat Zhur - Khlmlya.. No 19.. 1956, 64013
Author: -T Korobchanskiy, Ye. Ye., Gryaznov, Yu. N.
Institution: All Union Institute of Sods Industry
Title: Automation Means for Limekiln Shope of Soda Plants
Original
Periodical: Tr. Vues. in-ta sodovoy prom-sti., 1955, 8, No 109-118
Abstract: Report Of the work of the All Union Institute of Soda Industry on
automation of limekiln shops of soda plants. Data are presented
concerning the performance of an experimental plant unit for auto-
matic control and remote control operation of a limekiln and a pro-
posed diagram of composite automation of the entire shop.
Card Vl

KOROBCHEN . inzh.
KPOIA -1~
gAutomobile lamps and lighting devices" by A.S. Sokolov.
Reviewed by A. Korobchenko. Art. transp. 41 no.5:61-62 Vq 163.
(MIRA 16tio)
(Motor vehicles-Lighting)
(Sokolov, A.S.)

KOROBGHENKO, Aleksandr Alsksayevich
(Krasnoyarsk Sea; a popular sketch] Krasnolarskoe more;
populiarnyi ocherk. Krasnoiarsk, Krasnoiarskoe knizhnoe
izd-vo, 1961. 40 p. (MIRA 16:11)
(Ye4isey River-Hydroelectric power stations)

107-57-2-24/56
AUTHOR: Korobehenkop E.p senior engineer, DOSAAF radio clubg Latvian SSR (Ri:ga)
TITIEs A Rowing Content. Radio Amateurs' Experience. Radio Comminication
Should Be Used on Boat Trips
(Na norevnovaniyakh po greble. U radiolyubitoley yest' opyt.
IspolIzovat' radioevyazl v shlyupochnykh pokhodakh)
PERIODICAL: Radio, 1957, Nr 2, p 24 -(USSR)
ABSTRACT: An All-Union Rowing Content was organized in Riga, on the Lialupa
River, in July 1956.. Rowboats were equipped with radio stations A7A and
A7B, which functioned at 38 to 40 me over distances up to 5 km. Similar
stations were used also for newspapermen reporting the contest. Members
of the Riga DOSAAF radio club, Putyanin, Avotyn19 Teodosiyenko, and
others, helped to equip the boats with radio communication facilities.
AVAILABLE: Library of Congress
Card 1/1
KOROW!~MTKO, I.
F.orced charging of batteries. Avt. transp. 36 no. 6:17-19 is 158.
(Automobiles---Batteries) (KIRA 11:7)

KORUGHEIR.O.-I., nzh.
Adjustment of headlights, Avt,traw3p. LO no.4145-46 Ap 162.
(MIRA 15:4)
(Motor vehicles--Headlights)

0. Igor$ Alskeandrovich; GRIMRG, P.I., red.; BODANOVA,
A. P., tekhn.-f-C-.
(Equipping inotor vehicles and trailers with turn signals]
Oborudovanis ukazateliami povorota avtomobilei i pritse-
pov. Moskva, Avtotransizilat, 1963. 46 p. (MIRA 16:5)
(Motor vehicles-Electric equipment)

L -~9681-6 3 EWTM/ETC(f) TT/AP/0 D-42'
ACC NR_ S'b_URCE CODE: UR/UYT57
A)
AUTHOR: Galte~ev, F. F (Candidate of technical sciences);
(Engi
neeri; Morozov,--V. G. (Engineer)
ORG: Moscow Power -Engineering Institute
(Moskovskiy onergetiphoskiy institut) oe"
TITLE-. Operating characteristics of
svnchronous generators.having compound-
field permanent magnets
F
SOURCE: Elektrichestvo, no. 3, 1966, 9-13
TOPIC TAGS: electric generator,
synchronous generator
ABSTRACT: Operation of a new (see figure)
contactless synchronous generator is
considered. A special design of the
generator-field magnetic circuit permits the
electromagnetic field component either to
boost or to buck the main permanent -magnet
flux, thus providing the means for regulating
the generator voltage. within a rather wide
range. There design elements are shown in
j
112 - I I UDC! 621.313.322:0
Compound-field permanent -magnet
synchronous generator with
special-design pole shoes

---- ---
I- -
KORODCHENKO a,,; KOS14ACII V#F.; 14RIFYEV, Val.
-- -Y~u .
Coherent bremsotrahlung of electron,-,. Zhur. eksp. 11 tc;or, fiz.
48 no.5:1248-1256 Ry t65, (MPA 10 - 1")
I# Laningradskiy politekhticheakiy Institut.

VMNYUK, S.T.; KOROBOHENKO, Yu,T,; SKOCHIIISKAYA, N*N.
Change ir. the charaoteristics of the improved peat Soils
In Polem and the foreat-oteppe of the Ukraine under the
effect of farating, Poohvovedenie no.l-.19-28 Ja 164.
(MIRA 170)
1. Ukrainskly nauchno-issledovatellskiy institut pochvo-
vedeniya imani A.N. Sokolcqskogo i Rhaxtkovskiy sellsko-
khozyaystvenrqy institut imeni V.V. Dokuohayeva.

EDROBCHEVSKIT, igadir slesarey
All this is Important for efficiency promoters.
no.5:3.1 MY '59,
Izobr. i rats.
(MIn 12: 8)
1.Za-vod "Kauchuk.'
(Ifficiency. Industrial)

KOROBCHINSKAU, K.B.
Speed of shifting clamps in tensile testing of wire. Uv.lalb. 22
no.3:588-589 156. (NUU 9:8)
1. Odeaskly staleprovolochwiautqy x&vod.
(Wire-Testins)

AtCNR,- AM02774 SOURCE CODE;' Ult/0281/66/000/COI,/0106/OiIO'i
AUTHOR: Kovshart Lo Go (Kiev),@ Korobehuk, K. V. (Kiov); Toukernik, L. V. (Kiev)
)7
ORG: none
TITLE: Uniqueness of the results and the convergence of the iteration calculatioa
of the stationary electrical operating conditions within a pmier system
SOURCE: AN SSSR. Izvestiya. Energetika i transport, no- 4, 1966, 106-110
TOPIC TAGS: iteration, algorithm, digital computer
ABSTRACT: Some authors"mention briefly (see, e.go., LoV. Toukernik, Tr. lmtituta
elektrotekhniki AN USSR, I'Voprovy primneniya vychislitallnoy tekhniki v energeti-
.he
chesldkh sistemakh" (Reports of the Institute or L,'lectric. Engineering of t
AS UkrSSR, "Problems of Application of Computer Technology in Power Systems"),
.1962, No 19) that because or the nonlinearity of the equations of nodal
voltages in electrical networks, calculations on digital computers way lead to
nonunique solutions. The authors thus investigated trial calculations carried
.out at the Institut~i of Electrodynamics of the jiS Ukr SSR airaing at the
clarification of the peculiaritiea of algorithms and pro6rams for the calcula-
tions on digital computers of stationary operating conditions of complox pwtor
systemse Results of the calou3Ations in which participated also V.N. Avramenko
1/2
UDC: 621-311.1.001.
Cold 2 2

]W.ROBNLINIKOV 14 rofessor (Chelyabinsk)
Iodine prevention of endenie goitero Probl. endok. I gorms 2 no94:
120-121 Jl-Ag 056. (MLRA 9: U)
(GOITER, prevention and control.
iodine In endemic areas (RUB))
(10D INN, therapeutic use,
goiter prev. in endemic areas Pua))

KOROEENIN, N.A.
"Ivanovo State Peat Trust'and the technological progresi. Torf.
prom. 40 no.4:37 1,630 (MIRA 16:10)
(Ivanovo Province-Peat indu3try-Equipment and supplies)

L o5o5-67 E7AT(m) . wE
ACC NR, AP60li-5ii--
AUTHOR: Xorobenko, 1. (Maj or)
SOURCE CODE: UR/0416/66/0001001/0077/0080
ORO: none
TITLE: Newly reequipped.fuel dump A
SOURCE: Tyl i snabzh sov vooruzh sil, no. 1, 1966, 77-80
TOPIC TAGS: fuel storage, armed force organization
ABSTRACT: This article describes the daily activity'of ihe.fuel dump workers, the
problems they face, the types of containers used, the precautions taken when storing
special and toxic fluids, the paints used on containers to reduce evaporation,.ansi._
the stencil system used on barrels which gives the data of pouring and the last
analysis of the petroleum product or lubricant. In concluding the author states that
competitive inspections for the beat fuel dump are of great benefit and that they
sould be carried out more often.
SUB CODE: 13,15,21/ SUBM DATE: none
~,rd
KOROBENKOV, Semen Vavilovich agronom-ekonomist PEN'TYUKHOV, I.P., red.;
PZMftS1WA-PT-I-0 telocchn. red.
(Economic accountability on the Kirov C0.1jective Farm] Khoz,astven_
rqi rasehet v kolkhoze imeni KiroVa. Irkutsp Irkutskoe knizhnoe JZd-
vo, 1960. 65 P. (MIRA 14-.9)
-1. Kolkhos im. S.M.Kirovap Usollskogo rayona, Irkutskoy oblasti
(for Korobankov).
Nsovyo District-Collectivs farws-Accounting)

1~i , M . M,
Content of some microolements in. thp. whole blon,41'of pr-e)rIt-- of
Avanced and old age in individual d~avxicts of the 4--~ PhIpslan
I
Vestsi AU BS:iR. 3ar. btlal. nav. vj.34130--1)2 '625,0

Cobalt, nickel., copper and nontent Jn a r~" BoTrie
AN K
Whito Pusslan d'stricts. SP b! a! nav .
16C 18? 5)
rio.Is!28-129 .1.

LEONOV, V.A%;
Zink content of blood in children of nursery age. Dokl. AN BSSR
5 no.11:515-516 N 161. (MIRA 15:1)
1. Sektor gelontologiA AN BSSR.
(ZINC IN THE BODY) (BLOOD--ANALYSIS AND CHEMISTRY)
(CHILDREN)

KOROBENKOVA, M.M.
Copper content of the blood in middle-aged and senile people. Dokl.
AN BSSR 6 no.3:196-198 Mr '62. (MIRA 15:3)
1. Sektor gerontologii AN BSSR. Predstavleno akademikom Ali ESSR
V.A.Leonovym.
(COPPER IN THE BODY) (AGED)

. KOROBENKOVA M.M.
.9 1 1
Geographical distribution of long-lived people Jn the White
Russian S.S.R. Vestai All BSSR. Ser. biial. nav. no.2:119-120
164. (141RA 17: 11)

KOROBENOK., Yeeve t
Some subgroups of a projective plane and space groups Vestai AN BSSR.
Ser. Fiz.-tekh. nav. no.2slZ-19 163. (MM 17:1)

KOROBETS, P.; SINITFA, N.
Viticulture
Size of vinevard imits and character of forest belts in non-irrigated level vineyards.
Vin. SSSR 12 No. 9, 1952
Montily List of lissian Accessions. Librar:, of Congress, December 1952. Unclassified.

1. KOROBETSKIKH, P. Ye
2. USSR (600)
4. GEOLOGr,, Structural - LysIva Valley
7. Geological structure of the foothill of the western Ural depression in the
Beipent of the Chusovaya and Lyelva. Rivers. (Abatract) Izv. Glav. upr.
gaol. fon. no-3, 1947
9- MonthlY List of Russian Accessions Iibrary of Congress, March 1953, Unclassified

*

AUTHOR: None given 5-3-11/37
TITLEt Chronicle of the Geological Section (Khronika geologicheskoy
sektaii)
PERIODICAL: Byulleten' Moskovskogo Obshchestva Ispytateley Prirody, Otdel
Geologicheskiy, 1957, No 3, PP 153-157 (USSR)
ABSTRACT: On 11 December 1956, M.V. Muratov, Chairman of the Geologic-
al Section.of the Moscow Society of Naturalists reported on
the Section's activities during the last two years. The re-
port was followed by elections of the new Bureau of the
Section and of the delegates to the Conference of the So-
ciety. The following members were elected to the now bur*aut
M.V. Muratotov, D.P, Naydin, B.A. Petrushevskiyp D.Ss So-
kolov and A.L. Yanshin. The following reports were deliver-
ed in the Geological section durin 'g its meeting from 11
December 1956 to 26 February 1957:' N.A. Kudryavtoev on
"Basic Regularities of Petroleum Localization in the Earth's
CruBt"; M.V. Muratov on his Voyage to Mexico for the 20th
session of the International Geological Congress; Yu.M.
Sheynmann on "Some Differences in the Development of the
Pacific and Atlantic Folded Belts"; P.Ye. Korobetskikh on
Card 112 "Objective Foundations of Tectonic Phenomena Systematization";
Chronicle of the Geological Section
AVAILABLE:
5-3-11/37
V.A. Groesgeym on "History of Terrigenous Minerals in the
Meso- and Cenozoic Systems of the North Caucasus and Adjacent
Areas ("Predkavkazlyell) in Connection with Geologic Develop-
ment of this Region"; Yu.V. Krylkov on "Periglacial and
Other Formations of Continental Sediments";.N.M. Chumakov on
"New Data on Geological Structure of the South-West Part of
the Vilyuy Depression"; V.B. Neyman on "Paleotectonic Control
of Stratigraphic Classifications"; M.S. Burshtar on "New Data
on the Structure of the Foundation of the Eastern "Pred-
kavkazlyell and Adjacent Districts"; V.G. Korolev on "Peculi-
arities in the Tectonics of the Tyan'-Shan' in the Lower
Paleozoic Erallo and V.V. Bronguleyev on "Erosion Phenomena
in the Middle-Paleozoic Sediments of the Karatau Range
Mistaken for Overthrusts and Folded Overlappings".
Library of Congress
Card 2/2

KoRoBaNIGNEVY 0.?*- - .,
Kinetics of the reaotion of )Tdrogen sulfide with reduced bauxite*
Kinoi k&to 6 no,3047-~350 My4a.165. (MIRA IWO)
1. Inotitut khlmiebookoy kinatiki i goreniya ocibirokogo otdolsaya
AN SSSRO

Be YNI/,,r , and an
entire function of the order 7- 1 and of the typeO , if m + 1< r
(m+')/r
Problem A. Let y = /.i,(x) 9 Aix 1 k)
to Vx). It is shown that the condition of regularity (am
with arbitrary coefficients amis to a certain extent necessary for the
existence and uniqueness of the solution of (1). The examination is
carried out with two mutually complementary methods. To the first method
belongs the reduction of the examination of ~1) to infinite systems of
linear algebraic equations in Banach spaces of., e.g.0 Sheffer, I.M.,
Amer. J. 14"th., 1945P ~jj no& 1, 123-140). Here, in addition to the
theorems on existence and uniqueness, an approximation method is given
for solving (1); the error resulting when using the approximation
solution yn(x) instead of the rigorous solution y(x) is estimated
(the only polynomial solution of the ordinary differential equation
n n
7 (k)(x) fk xk
Y(X) +-E PWy 0
km 1 k.
k-0 k
Card 2/3

5/044j62/000/008/017/073
On some examination methods for a 0111/0333
can, in this case, be used for y,(x)). To the second,me'thod belongs the
reduction of (1) to an integral equation which can be understood as
an operator equation with an approximation operator in a specially
selected Banach space of suffici6ntly slowly.growing functions. Here,
existence and uniqlfeness thedrems are obtained'in new classes of func-
tions, which to tVe present were not obtained with the first method.
The second method is, however,' not,as ge~ieral.as the first.
[Abstracter's note: Complete translation.]
Card

KOROREYNIK, Yu.F.
One uniqueness theorem for an equation of infinite order
with rapidly growing coetficidnts. Sib. mat. zhur. 2 no.4:
547-550 A-Ag 161. (14IRA 14:9)
(Functional equations)

VARGkNOVAt S.V.; KOAOBEYNIKv Tu.F.
Superconvergence and incortinuability of functional series. Dokl.
AN SSSR 137 no,3t499-501 Ni 161., (MIRA 1/,:2)
1. Rostovskiy-na-Donu goadaretveWy universitet. Predstavleno
akademikom A.N.Kolmgorovym.
(punctions, Analytic)

29807
11"5500 S/020/61/140/006/001/030
0111/C444
AUTHOR; Korobeynlk. Yu. F__
TITLE: Analytic solutions to a certain class of partial diffe-
rential equations
PERIODICALi Akademiya nauk 3S33. Dokladyp v., 1,40, no., 6, 196-1,
1248-1251
TEXT: Considered are analytic solutions of
r M anu
~xr ay gyn
where a is a constant; r, m, n are positive integers, m 4 n; and by
aid of them there is considered the Cauchy.problem for (1) with respect
to y and a new problem.
Let u(x,y) be an analytic solution of (1) in jxj 4 R, ly 1 4~ R1. if
written as a series in terms of y and substituted into (1) , one ob
tains the following representatiDn
I lpl(x)+ n_1 if n2~1 .5~ m+d~k(n-m f(kr)
U(xa) - M- y y y )14 (x)(2~
7- 7: 1 + k,d m+d
Card 1/6 1=0 I=M d-0 k=0

Analytic solutions to a certain . . .
where
2F807
S/02 1/140 006/001/030
C1 1 IYC444
ilk-! ) (n-m)+41. 1(k-2) (n.-m) + d] I .(d)!
"k,d C(k-1)(n-m)+n+dll[(k-2)(:n,-m)+n+d]l...(n+d)tak
and PO(x) - U(X'O) is a polynomial of degree -4 r - 1. The functions
fa(x) = Qs ula Y'Iy.O' s n-1, are denoted as growth functions
of U(X,Y).
The class %,R of analytic functions Y (z) be defined as follows:
1) if n> r. then MR,,, consists of the analytic functions in )zl:E R
2) if n - r, then all functions, being analytia, in I I Z R+ CR,n-m/
ja~ (,) n3 1", belong
r to KRvR1
3) if r > n, then MR,RI is the set of .all entire functions of order
Card 2/6

29807
S/020/61/140/006/001/030
Analytic solutions to a certain C111/0444
r I (n,,m)n, n-;-m (r-n)
and of a type smaller than 'I [1a 1 R
r-n r r
.(as well as the set of all entire functions of an order smaller than
r
r-n
Theorem 1s In order the'solution u(x,y) of (1) to be analytic in the
bicylinder I x ;L1 R, I y RI P it is necessary and sufficient that
its growth functions 9su/9 ;Sjy~.O, a n-1, belong to M R,R
Let F be the set of all entire fixnctions for n >,-r and the set
n,, r
of all entire functions of at mo!3t [--I-, 0_1- th order of growth,
if n -- r--n
Theorem 2: In order the solution u(XY) of (1) to be entire in x,y
(i.e. analytic in every bicylinder), it is necessary and sufficient
as I Y.O~ s = m, ..., n-1 belong to F
that its growth functions U/~Y;3 n,r'
3n
The Cauchy problem: DetermineV)xl -C R, I y)it--- R, an analytic solution
of (1) such that
Card 3/16

29807
S/020/6-1/140/006/001/030
Analytic solutions to a certain 0111/C444
a) 3 'U/ P W, 9 - 0,1,- M-I
b) Vu/0 ys ly~o - f.(X) s - M~I.--? M-I~
where P s(x) are polynomials of degree < r and ~(X) are analytic in the
neighborhood of x = 0.
From theorem I it follows that fcr the existence of the solution it is
necessary and sufficient that Vx) 6 M ~ 8 n-I.,
R,R1
Problem C; Determine a primitive of (1)0 entire in (x,y), satisfying
the conditions
~3u I Y." - Ps (X) S 0 ip m- I
ays
(3)
u(x.k
. ix) n-.m
where Ps(x) are arbitrary polynomials of degree -4 r-1, ki are real
Card 4/(;

29807
S/020/61/140/006/001/030
Analytic solutions to a certain C111/C444
or complex numbers, different from each other; \,(x) are analytic
functions in the neighborhood of x - 0., satisfy!Ag
'~(S)(O) a ki
(0) 0' p i SF j i
j.m (4)
s m)-,n-2; i 1,2t-y n-m' M-1
where Ai(x) indicates the difference >\.(x) - Z (k,x) Pl(x).
1=0
Theorem 3: Let u(x,y) be the solution of the problem C. Then: 4-11'
a) ~9u/ays ly.o~ S = 0~1%-.$M-l Must be polynomials P3(X) of degree < r.
b) the entire functions A.(x) and the polynomials P (x) satisfy (4).
s
.., 2(n-m), Then it is possible to obtain for arbitrary n-m
Now let r >
different straight lines y = k ix a lower class G of sufficiently
slowly increasing entire functions such that in case IF W , s = 01 1
... m-1 are polynomials of degree ~~- r-1 and Ai(x) ares entire fun*c-
tions of G, satisfying (4), the problem c possesses a solution-
Card 5/6

29807
S/0210/61/140/006/001/030
Analytic solutions to a certain C111/C444
This solution is unique in the class of primitives entire in x,y with
sufficiently small growth (i.e. of those, the growth functions of which
belong to GY~
A more detailed consideration of the problem C is accomplished for the
special cases.
4u 2 u 'arU 11 2u 2u
a and a
~Y2 ,,r y 9x2 Y2
Another problem C' similar to problem C is shortly defined-,
The author mentions V. P. Mikhaylov, There is 1 Soviet-bloc and 1 non-
Soviet-bloG reference,
ASSOCIATION: Rostovskiy-na-Donu gosudarstvennyy universitet (Rostov-na-
Donu State University)
PRESENTED: May 24, 1961, by J~ G. Petrovskiy, Academician
SUBMITTED: May 19, 196!
Card 6/6

S/14o/62/'000/004/004/009
C111/C333
AUTHOR: Xorobeyni
TITLE. on a class of differential equatione-of infinite order-
with variable coefficients
PLIZIODICAL; Vysshiye uchqbnjye zavedeniya.
no- 4, 19629 73-60 Izvestiya. Matematikal
TEXT. Considered is the equation
03 ~k)(X)
g(x)

2)
kwO
Go
where g(x) gl3J and fk(x) ak
Z_ m (k 192#..o) are
1-0 M-0
r
T k
analytic in I x R and A J. - ao
1 1) ~ r
r!
0 for r-0,19*9*9
Tr-kT1
k=0
k
A
) a
J 0
for at least one ko Let denotes T
~he class of the
o
2
'Card 1/4

S/140/62/000/004/004/009
On a class of differential equations ... C111/C333
OD
functions f(x) - 7 ' f x k with sup fk df co ; T the class
k a 0 k k 2
OD
of the functions h(x) bkx with ~k oo (k .. Op 1.p 29
k.0 r a
sup OD 9 Where ~ . rl ;.~ 1 0 (r.O'1#2yo.'.)
hk k r Tx--k)l
k
The main-result of the paper is -the statements-Lot R - 1, and except of
A1 and A2) let the following conditions be satisfied:
A3) < 00;
Aj f. W E
jak I
As) jj-M'Lr < I.
Card 2/1~

S/140/62/000/004/004/009
on a class of differential equations ... C111/0333
T.hen (2) possesses in Ix) -4 1 for every g(x) E T, a solution y(x)F- T2
which i's unique in the class.of all analytic solutions.
From this it follows for the equation
00 n
T a x Y(n) W.- F(x)
n=O n
considered by Davis (Ref. 1: H. T. Davis. The Euler differential equation
of infinite order. Amer. Math. Monthly~,,vol.-32, p.p..223-233, 192~):
r
&k
if tLr j 0for all r, where rl and lim I tk, 00
r k-0
Where r1 7 1 ak then (1) possesses a unique solution,
r k-0 Tr--"k7i'
analytic in I x ~-- R, if P(x) is analytic in Ix I -~ R. The special cases,
where F(x) is analytic in the whole plane or where all coefficients of
(I-) are non-negatival are considered.
Card 3/4

S/140/62/000/004/004/009
On a class of differential equations.... 0111/C333
For (2) one investigates the case where finitely or infinitely many, ~Lr
vanish; in this case there exists the solution only, if g(X) satisfies
certain linear relations; the uniqueness is disturbed.
ASSOCIATION: Rostovskiy gosudarstvennyy universitet.(Roo.tov stated
University)
SUBMITTED. JulY 1, 1959
Card 4/4

KOROBEYNIK, Yu.F. (Rostov-na-Do.,iu)
Method for investigating a differential equation of infinite order.
Mat. sbor. 56 no.1:10'7-128 Ja '62. (MIRA 15:1)
1. Rostov gosudarstvennyy universitet.
Differential equations)

34738
B/020/62/142/003/003/027
ClIlIC333
AUTHOR:
TITLEt Analytic solutions of Tricomi equations
PERIODICAL: Akademiya nauk SSSR. Doklady, v. 142, no. 3, 1962, 518-521
TEXTs As an analytic solution of
Y g2z + ~?z 0
'Dx 2 Py 2 (1)
in the neighborhood of (Z ot Y 0) the author denotes a complex-valued
function z(x,y) which is analytic in a bicylinder Ix - x ox I < r19.ly-yor0 V(
and satisfies (1) in the bicylinder.
Two problems are investigated.
Problem T1 t Determine an entire solution in x,y of (1) which satisfies
the conditions 3
U(X,O) - To(x) U(X,c-vx-) - ~01(x) (3)
Card 1/4

Analytic solutions of Tricosi equations
S/02Y62/142/003/003/027
C111 0 333
for all finite x, where ?O(x)t ?,(x) are given and c is a given complex
number.
Theorem 1 1 The problem Ti is solvable if Lpo(x) is an entire function
of order < -1 and F, (x)IV"x- an entire function of order< Uniqueness
takes place in the class of those entire solutions in x,y for which z(x'O)
is an entire function of order