SCIENTIFIC ABSTRACT OPEYKO, F.A. - OPIENSKA-BLAUTH, J.
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CIA-RDP86-00513R001238120001-3
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S
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100
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December 31, 1967
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SCIENTIFIC ABSTRACT
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OPEM. F.A. [Apeyku, F.A.I,prof.
Most efficient distribution of pressure between caterpillar
tracks and ground. Vestsi AE BSSR.Ser.fiz.-tekh.nav. no.4:
39-51 '58. (MML 12:4)
(Caterpillars (Vehicles))
ALAW I WOK jurwrTArEw 3MIAW
M-k. 1-til.t
lbt.Li .Al. (M-htne ?-to) KI-kl, Rod. -1.d. -4.1 M L-1 I.T.
69 1, jafto: Its: Sb.MIX -Uy~ v". 75) L,5,X coP~ll Fri-d.
SP-rIMA Aeonciael KInlmMsrWt,sO 17.8bego, -~4- -41 1
ww "sw-Lys 2=~ ll*L*vAA&LLY PoIL-Uit .. ly 1-titut 1-oa I.Y.
X"WrUd Dos~rt: VJ. ?'MY3"r (R-sP. 24. , DoCtor Of '*cbnilll S~ Is-, pror.-;
V.I. 31strismyvich, Candld^U of Tac~.lccl 3clo-, 3--t-, L.A. kut-ftlk,
CsDftft~ of Tvwch,olcal Scie-, D-ot, wd A.I. Zbll,owC%, ~f
Balwoe-, Dwent; Rasp. Ld. for ttLls ol, A.A. fta~r, Zr4lj-,
R. Kv-; Took. K-: U. X-h1u.
PWJVU- T". ..Uboviob of is Ludd to, -1tot"Ll P.-I -4
mlowstIll.
CWIX=l TbL. I. W. 75th I- of . -ft.. PLbl-..b" by Ubo 5.1-1- ml,.
tIckole T=tltm;t4 Lmni I.T. S-11n. Tlb, toctll- l-s'
tjb, af &I.h - dx,~,d to irt.M., - I .1-t -I.- I 1~ t - lif- Of - 1-1
a-ftlasm. r-ts,. lh. ~.Wg arti.l. 4-1. qdM th. - Of lighlia
Lmorualstless 1. A -P-.t-. So P.-Ilti... Ass"i-4.
ftf- wo-pamy voost of %&o ar,1.1- ?b.- - 32 -f-.-
awilm md I Q.- A short w"ndlx I- aLAO Lmlo,%si.
P-bi- 1. U. m P-2uctlon
-wt_l .shLb-Plu; S-
Z*,ta=",A_L On NothosLo of C&L-LAU=4 ~ LLfo Of IW~l
~ DifromotiaL. of Astoosobiloa and T- Q
T 0 v- or -ueoor-l-
-MWt. ;its iwbai-rrd. A..I.! for
laskimS. of 51L" b-arlr4P
S. _ZMLWRqp Aj Ube of 0-?coth Gago for Pho-LD4 UA
Assmsot of --th vow
9. _JC%yWakJL-Q. XxTer-tmoots for the Dvtsira~tl= of 1~ AbosAot
or v-% RqAi-4 for tbo w.-
mm"- I of All-ox. at-obo. Lo ss~bL- PArt. V,4sr
AlussAttLog LZM, Tlr4 rvto Account tIms To-atto- to L-" -zf gso-~ 61
t-n-ti- of tb. Llgbtizg :.7-lt7 or
5--P--U (8,9.5 -A 16 -1 Sboot -4 r,
68
aranAmal lAbrory of Cossipm.4
Op3YKO, P.A. [Apeika. P.A.]
General method for expressing the transmiosion ratio and efflciorU
of friction drive. Vestsi. AN BSSR. Ser. fiz.-tekh. nav.
'59- (MIRA 12:6)
(Power tranemiscica)
KRIVOSHIIII. H.S.; OYMO, F.A.; IDPOTO, H.Z.
Sew method of winning granulated peat by deep excavation of the
peat deposit. Trudy inRt. torf. AR BSSR 8:77-84 159.
OCMA 13:12)
(Peat induBtry-Iquipment and supplies)
KRIVOSHIIE, H.S.; OFIM, P.A.
Preparation of granular peat by extruding it through holes.
Trudy inst. torf. AN BSSR 8t94-102 159. (KMA 13:12)
(peat)
OftM, F.A.; ZHUK. Ye.A.
Jbitent of the procesGing of peat Ln a roller macerator. Trudy
inBt. torf. AR BSSR 8:114-118 '59. (NnU 13:12)
(Peat)
OA'D3=9 F.A.
Unexplored possibilities of the screw ronve7er for the mechanical
treatment and cutting of natural peat of lover moisture content.
Trudy inst. torf. AN BSSR 8:162-170 159- (MIRA 13:12)
(Peat industry-Squipment and supplies)
OP3ffMo F.Ao
I)rtW.ang of Peat bY a ridger blade or by a eveeper. Trudy ins t.
torf. AN BSSR 84171-176 159. (MIRA 13:12)
(Peat machinery)
OPIM, P.A.
Resistance to the crushing of peat soil by, moving wheels. Trud7
inst. torf. AN BSSR 8:177-185 159. (KIELA 13:12)
(Peat soils) (Wheels)
OPEYKC -prof
DYnamics of starting while turning of a tracklaying, self-propelled
vehicle under the simplest of circumstances. Izv. vys. ucheb. zav.;
gor. zhur. no.9:87-89 159. (MIRA 14:6)
1. Belorusskiy politekhnicheskiy institut imeni I.V. Stalina.
Chlen-korrespondent Akademii nauk i Akademii sellskokhozyaystvennykh
nauk BSSR. Rekomendovana kafderoy torf kh mashin.
(Tracklaying vehicle many
OPEMO. F.A.
Static turn of a wheel system with rear driving wheels connected
by a differential. Sbor.nauch.trud.Bel.politekh.iniit. no.64:
117-121 '59. (MIRA 13:5)
(Motortrucks--Wheels)
OPM-0, F.A.
Turns of a "royal"-t7pe runninp wheel. Sbor. nauch. trud. -3e I .
politekh.inst. no.64:123-128 '59. (KII;- 13: )
(Tractors)
OPEYKC. F.A.
Classification of peat ckachiner7 accordinE to t~,e winbor of
degrees of freedom of the excawAing part.
politekh.inst. n o - 65 : 45'-1 ~7 '5 9. 041ILk 113:5)
(Peat machinery)
Om,-KO, F.A.
Concentration If the produftion at peBt work-F In relation t, tte
int,mAlvt- IryInt; -)f 1:e"t
inst. no-65:-L~1-52 159. 0--%, !~--'5)
(Peat boga)
8/1 24/60/000/D06/0&6
AOO 5/A0O I
Translation from: Referativnyy zhurnal, Mekhanika, 1960, No. 6, P. 18, 69~-'
AUTHOR: Opeyko, F.A.
- - - =====~
TITLE- A Simplified Theory of the Accuracy of Mechanisms
PERIODICALi A. nauchn. pabot. Belorusek. politekhn. in-t, 1959. No.
pp. 14l-156
TEM. A procedure iB presented for analyzing the primary errors in the
elements of kinematic pairs and for determining their influence on the err~-~- In
the position of the mechanism. The coordinates of the relative position of *_rie
pair elements are represented by the known mode as two vectors (for the trane-
lational shift and the rotation), and, on this basis, the logical symbolism ~f
various kinematic-pairs is given. The characteristic of a member of the mecha-
nism is determined as the product of three pairs of vectors, whereby the +h.,_-A_
vector pair represents the influence of the error in the totation of the Tr--
ceding element on the errof in the translational shift of the following e.em~r~'
of the pair. For two-dimensional mechanisms, the intersection lines of tt.O_Z~
surfaces are considered as pair elements, which form the pair element with tne
Card 1/2
- OP.9YKO, F.A.
Theor.v of screw conveyars for raw peat. Sbor.nauch.trud.Bel.
politakhAnBt. no-65:157-164 159. (KMA 13:5)
(Peat =chinory)
OPKYKO. F.A.
Static turn of wheeled crawler tractors. Sbor.TAtuch.trud.Bel.
politakhAnst. no.6.5:165-169 159. (HIU 13:5)
(Crawler tractors)
Onrio. F.A.
Determining the capacity of a lighting unit for narrow-film
motion-picture photography under laboratory conditione. Sbor.
nauch.trad.Bol.politakhn.inst. no-75:68-70 '59.
(MIRA 13z6)
(Motion pictures--Lighting)
--OFZU9. Fedor ALeksandrovich; BARKAN, V.A., red.; YRIU-IILOV. T.K..
tekhn. rea-.
[Design stresses; theory of stranpth] Raschatnys nBpri--zhe-
niia; teoriia prochnosti. Minsk, Izd-vo Alcad. sellkhos. rwuk
BSSR, 1960. 19 p. (MIRA 14:5)
(Strains nnd stresses)
CFZYKO Fedor Aleksandrovich; BARKAN. V.A., red.; ZUYKOVA, V.I.,
te ." .
[Crawler and wheeled drives] Koleanyi i gusenichnyi khod.
Kinek, Izd-vo Aimd.sellkhoz.nouk BSM, 1960. 227 P.
(KIRA 13:12)
1. Chlen-korresponAent Akademii nauk i Akademii sallskokhozyaystven-
nykh nauk B= (for 61;;yio).
(Tractors)
OFE-KO, F.A. [Apoika. F.A.1
Forces acting on the disl~s of friction transmission. Vestsi AS
BSSR.Ser.fiz.-teth.nav. no.1:75-8~ 160. (MIU
(Power transmission)
OP:;IXO, F.A.
Determiaing tho de:~r;.,c of tLo mechanical proccr'1,-',.a;: ')-, -aw';' e a t
during excavation. Truly Inst. torf. All 39S". 9.'9."-99 'SO.
(M--, A
(Peat industry)
OP.-1-i&O, F.A.
Vol=e of chips removed by the 5hovel, and t:w 'au o-' an -u-lzur
velocity of a rotarl :;hovel fra-me. Tru y Inst. tor'. A 1* -5~ . . - - --
105 160. (.-:i A 14:2)
(Peat machinery)
OPETW F
Dotorm,;,wAl.on of ,he bazic I tensions of proce;; in; -,.A cu 1-n
1,
w maeldnes . Trud;-, In j t tcrf. AN 353-,. 9: 'J%
:2
(Pea'. rnachincry)
LOPOTKO, M.Z.; 1UGOI-SKIY, I.S.; IMIVOS11EII% I.I.S.; OPErKO, F.A.; ZIIUK, Ye.A.
Prelimins y testing of the '19T-3 rotor 3crev machine for vinning
small-size :-ach-ine peat. Tru4 Inst. torf. All BSSR 9:119-131 160.
(MIRA 14:2)
(Post machinery)
KRNOSEIIN, M.S.; OPEYKO, F.A.; WPOTKO, M.Z.
Results of the investizations of a disk s'redder wad of perforated
I
screw press. Trudy Inst. Lorf. All BSSPI 9:132-237 160.
OaRA 14-2)
(Peat .::achincry)
OFEYKO, F.A. --
Theory-of a centrifugal wheal with flat shovels as an operating
devioe of a trench cleaning machine. Sbor. Youch. trud. Bel.
politekh. inst. no.88:15-19 160. (MIRA 14:12)
(Peat machinery)
-1 MUM, F.A- --
Differential modulus of the gear ratio of a frictJ -)n ge-&r.
Sbor. nauch. trud. Bel. politekh. inst. no.88:46-48 160.
(MIRA 14:12)
(Friction)
GPEYKO, F.A.
Deformation of the rectilinear movement of a self-propelled crawl--!,
tractor as a result of the inacLuracy of crawling pitch under
symmetrical load and the absence of shearing forces. Sbor. nuuci-
trud. Bel. politekh. inst. no.88:49-55 160. (MIRA 1-4: ];~',
(Crawler tractors)
OPEYKO) F~A.
Additional calculations originating from
Sbor. nauch. trud Bel. politakh. inst.
(Crawler tractors'-,
warping crawler belts.
no.98:56-63 '60.
(MIlLk 14:1-'.'
OPEY-N I F.A.
Intensity of stresses and deformations and the rated stressas.
Sbor. nauch. trud. Bel. politekh. inst. no.P8:e6-1o6 160.
(MIRA 14:12)
(Strains and stresses)
(Soil mechanics)
OMKO, Fedor Aleksandrovich; KONTSEVAYA, T.V.,, red,; KOUCHITS, YO.P.1
-teMm.red.
[Strength theory) Teoriia prochaosti. Minsk, Izd-vo Yj.-va
vysshego, srednego spetsiallnogo i professionallnogo obrazo-
vaniiAL BSMv 1961. 33 P. OIORA 15:4)
(Strength of materials)
LOPOT,.r,O, E.Z., kani,o~..-n.rr~u'.C; .3',Iy, I.S., kand. tekhn..riatL!,; -,,.JVCGHEI-
M.S., kami.te':'n.nau~.; Z'..Ui,.', Yo.A., kand.te)&-n.riauk; OF IYA10, F.A.V
doktor te!Cm. a~i.-
L,xnp peat winrin.- -iac ine. To--f.pro.-. 38 no.1:1.1-12 '61.
L'A 14;2)
1. Institut tor'a Al,
(F,~at -ac.-Inery)
F. A. Ci)e.vko
" The extent of peat processing in peat processing machines "
Report sul>-itted for t~~e 2nd Internati-nal P,:~at Congress, Le-i-irrad,
15-22 Aug 63-
~AEYi'.O, F.A., prof., ooktor telchn. nauk, red.; OPFYKO, F.A.,
r-~iuchn. red.
[Viechhnization and nutomation of the peat industry] Me-
khanizatsiia i avton,.atizatsiia torfianogo proizvodstva.
Mlinsk, Izd-vo "Vysshaia shkola," 1963. 148 P.
(FII~A 17.(,)
1. Uhlon-korrespondent Ali B.'at (for Opeyko).
BOKHAN, N.I.,, inzh.; OPEYKG, F.A.0 doktor tekhn.nauk
Determination of the power needed for peat milling by means
of disk cutters. Izv.v-yS.ucheb.z&v.:gor.zhur. 7 no. 1;117-119
164. (MIRA 17:5)
1. Belorusskiy pollitekhnicheskiy institut. Rekomendovana
kafedroy torfyanykh mashin.
N C-1,11 1--H I KH IN, V as i ' 3y i~lekseyev Ac I. j A LYF.1- ,I -r-y to - ,I J, ,I,.
nauk, prof., nauchr- red.; '. N., rr--c.
I
tl-)eformntion of a compressibie n.ec.'u:--. r7y ~)eiir,ng sur'aces~
Defnmilt.~Aia oporrqmd poverkhnoz;t~,m' szhiii.nomoi sreoy.
Min.A, Vyoshala shkolnp 1964. 1 ',' .. I . (' "::,;, I P, - i, ')
1. (,~deri-korre spondent AN ~;4ScTi ~ for ';pPyko ) .
T-~V-l CH , G,, f, I -'E:~ Ku F. A.. V, Ye
red., 5ELI-
K 0 LG, TIV15 H? " 1,~, V I 7~-d .
v e r a u, i a f e, E~ K, q) f- ks T o e sq ol. Van;
t r fEL. M,, ;:R,
~v
OFMC,,~~ ~,A I-C- -1 Y br. RIM , F., , r Od
ape r s r, f u in ri!-s Shf. rni-k n--,l -Ilmkh ratpc,.t
U r z lig 3,, aL5 P.
(MURA
'Y
vTy na i ~:-s I el - va, ;3k-,~ I ntiti tut me-
k h-8 L" 7 at. s A e., ek t r i f- sk og. o x hc Ly ELy 3 tva ne-
'he ml- 7--,,rm-iy zor~v SS311
OPIAL) M-41cs,- inz.
The fir,;t CzechosIrvB), !cccm-ctlv- on alternating current 25 kv. Zel
dcr tech 10 no. 1:3-5. '62
OPIAL, Milos, inz.
New types of electric locor-,;otives for trIle Czechoslovak Railroads.
Doprava no. 1:43-41 164.
RIII -A-L-
7~,
,
5tame nufta nn
.
q
-
,Matfi -1 (1951)
j-
the qltti~l (I
ly
w,
rid Wntimmut On So ,
A with 40lineA a
Xna,
DO? b -
* le
bzm ij 2, funcfl ~hs'whl
y
l
the ineqUa
sorn
eS7-'-
iti
07
Vltwanath=t [Proc. "am SeL. Sect. A. 36 (1952),
335"')l'. It ekh jili'non4edeasimg On Q; Je.jf (xi 4i'l
4%) (X b1l)'t ju .2 1%)
id
li~)Jor v -J, then
Ich
,
p y
~
, ~
pi-sa .,f Mso s~itisf~
the:'Janction~
i '0,
is y4ig (2).
'
'
,-e
-2 QO
I I wh
VI(x), (x -is a.
.
I if -on 4S
jhio4h, P, VWch is'.. =
Wmd
nte of such. idlution
e p4ste
f (1),follovis it th
om 4 wrem of Wate
1, 2, -,- ~ " X)
wsjd
mn. Soic; Pol6im~ Math.' 23, 19!
SO), 112-~166,'V 7
A __
A : _ --.
ves,
0.
eWciwini Ch If
eorm far
-V~
.4-
every P e
0 abd w?er~,-sef Oi~xj
nuous fan t, t
ti
_c ipns~ t tre wdsts
(2) bu
-4) -of (l
1
2
6
th
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6
h P
4
a
an
>
roug
,
j.
)-
y,
_
tucifthat TOW1.51
(x) on tt.
.,n ara
d to
op-decrewsin With rp Mchyj (kiAs)-sc to
't to -Yi -ip- a s
-and noii~decreasing_ wi r t
AE!!&hborhood of e- Owint in-il Fihally- th6"authar'
-i 'd havi a' V
A. I j, 2
niplete , e4criptidn'of
6ifi be, 6ast
watinuous functions n~ded'ex-
'
~itly
so, at to- %tisfy. (2) on some
-
jk A:
Anjosi~~cz (Proi4dehce
Ov
OPIAI, Z-.
A problem of stability. P. 153
ANNAL~S POIDNICI KATHDIATICT (Polska Akademia Nauk)
Warszawa, Poland
Vol. 5. no. 2, 1958
Jan.
Monthly List of Fast Furopean Accession (MI) LC, Vol. 9, M. 1,/1960
Uncl.
OPUL, Z. (Krakow)
On a limit problem for the differential equation of the second order.
In Prench. Annales pol.math. 7 no.2t223-231 160. (KRAI 9:5)
(Differential equations) (Ametions)
OPIAL, Z. (Cracovie)
On a problem of T.Wazewski. Col math 7 no-2:269-273 16c. (EEAI lo:,.)
(Circle) (Vector analysis)
(Differential equations)
-OPIAL, Z. (Cracovie)
On a problem of J.Szarski and T.Wazewski. Col math 7 ro.2:275-276
,6o. (EFAI -'0.1)
(Differential equations)
(Functions)
(Curve5)
OPIAL, Z. (Krakow)
Demonstration of a theorem of N.Levinson and C.Langehhop. Annales
pol -oath 7 no-3:241-246 (EEAI 9.10)
(Differential equations)
MWH, C. (Krakow); OPIAL, Z. (Krakow)
On a differential inequality. Annales pol mLath 7 n0-3:247-254 160.
(EUI 9:10)
(Inequalities (Mathematics))
(Differential equations)
OPIAL, Z. (Krako-w)
On the asymptotic stability of solutions of a system of differential
equations. Annales pol. math 7 no-3:259-267 6o. (EEAI 9:10)
(Differential equations)
OPIAL, Z.- (Krakow)
On the class (L2) solutions of the differential equation u"+ q(t)um'0.
Annales pol math 7 no-3:293-303 160. (EEAI 9:10)
(Differential equations) (Functions)
OPIAL, Z. (Krakow)
On the periodic and almost periodic solutions of the differential
equation x0+ kf(x)xl+ g(x)= kp(t). Annales pol math 7 no.):309-319
,6o. (EEAI 9:10)
(Differential equations) (Functions)
OPIAL, Zo (Krakow)
On an ordinary differential equation of the first order the second
member of which satisfies Caratheodory's conditions. Annales pol
math 8 no.1;23-28 960. (EEAI 10:2)
(Differential equations)
OPIAL, Z. (Krakow)
On an inequality. Annales pol math 8 n-).1:29-32 160. (EEA1 10-2)
(Inequalities (Mathematics))
OPIAL, Z. (Xrakcyw)
On a nonlinear differential equation of the second order. Amnales p-11
math 8 no.1:65-69 '60. (MAI :11:2)
(Differential equations)
CPIAL, Z. (Krakcvw)
On the solutions of the differential equation X"+ h(x)x'+ f (x) =
e(t). Annales pol. math 8 no.1:71-74 160. (FEAT 10!2)
(Differential equations)
OPM, -Z.-(Krakow)
On the dependence of the solutions of a system of differential
equations on their secand nwebera. Application to almost autoncmaus
systems, Annales pol math 8 no.1:75-89 960. (EKAI 1012)
(Mfferential equations)
37q9l 6/099
S/044 62/000/004/02
C444
0 R I oplai, Z. S Of C,~rtiAll~
------ e",L~vlour of -ha
L~r. 1 C s
t .-ons non-lii-,ear mec,
.k ,,, ;7,
a V - - a t :, 'a., 110 - - I
C,
t r- c t
124/
-.,or ,.-atlor, system
a
n a s p a ce k X al"E
a- a d the var-&[,-
sl:)ace
being such tnat for
V (X-I
tc,e real -r,ov functi0r, j
existj a Lyap
holds
every PO"t I\ E r a (1)
V
he proves for systel:-
Card 11/ 5
3/0,4/62/000/034/028/099
Dr. the asymptcitic *-,e,-,avi:;-r . . . Cl-Il/C444
X, 7' X,
j 11
wnere G~t, X' is de~ineJ an: cGnL..-.-,oas -r,
If V(X) SaLiS.P4eS 4 ~2', and t,--! lneq,~ali'.y
.,.e
X'~radv~x)~!-< 't, V'x'), where ('t, U, is a cDnt-nuc-;s
r.eg~~tive f"ctior, of a:..-: u>,~, 3.1 all so.'-~tions of e equatic'n
u 0 t , U) are 0 L u r. c e f o r t >/ 3 , t." a r, every S 0 1 *..! t i o I. X \1 tC' f
j -s in tte nti.~ - (t
-va +
walcn is defined f t
0
2.) let V~X) 5 a t . zi fy1 12), unc -.he -neq,ail ty G t., X, ~radll.,Y
t ) 0 (V (X) whe re t.-, e pcsitive continuous functions p(t) "d ~'U\'
are such that
+
IIJ
0, is
"hen eaen of tne solutions X(ti of which is defined for t
Dourided In (to, + 00)
Let G(t, X ) not d,~pend On X, and let
) +0~
Curd 6
6/3" "/~2 6/'-- 7-37
tn e 4 s y:,,o c ~ e;, a v i,~ i r
j
if V'X) 2 c~ *. r, t: 4 r. e qi a 1 i ta d V 'X "i X
w.rlere contin-~c,,,;s :-,3i'-vt: functioll ~(Li) satisfies tne condition
t -1-1 ij every Xft" of the s stea. ~5) which is defined for
y
secciu 1,art ueu~cated' -D t-e inv,~sti6atian of the uounaedress
0 If *.he sol-.~.tions of sjstems
X- - f(t, X, X,) g(t, X, x,/'f
Wnere f(t, X, Xl" az--l X, X'' are defined and continuous in the
space F - 1-~E),S; arz-oEo,~s are proved.
.'Abstracter's note: Compleze translation.j
Card 3/3
OPIAL, Z. . -
On periodic solutions of the differential equation xm+g(x) = p(t).
Bul Ac Pol mat 8 no.3:151-1.56 160. (EEAI 9:11)
1 . Insty-tut Matematyczny, PAN. Presente par T.Wazewski.
(Differential equations)
jj"6 Z. (Krakow)
On a theorem of G.E.Langenhop and G.Seifert. Annales pol math 9 no.2:
145-155 '60. (ESAI 10; 5)
(Differential equations)
AWft6 (Krakow)
On almost periodic solutions of a class of differential equations.
Annales pol math 9 no.2:157-181 60. (EMI 10: 5)
(Differential equations)
OPIAL, Zdzislaw
"Short outlines of the history of mathematicsO by Dirk J. Struik.
Reviewed by Zdzislaw Opial. Rocz viad matem 5:149-150 161.
AUTHQR3a Lus c ta, A - , Jp I a I _&__ Y,
S/044/62/000/010/005/042
B112/B102
TITLE: Interpolation problem for a differential equation of the
n-tt. order
PERIODICAL3 Referativnyy znurnal. Matematika, no. 10, 1962, 39, abstract
1OB164 (Bull. Acaa. polon. sci. Shr. sci. math., astron. at
phys., v. 9, no. 9, 1961, 667 .,671 [French; summary in Rus.1)
TEXTi For the n-th-oraer differential equation
x(n) . f(t'x'x',...',(n-1))' M
the folloving problem of interpolation is posedt assuming n points
(tioc O'...'on' cni ~ti /.t 2 0 (4
i-0
Card 2/3
S/044/62/000/010/005/042
Interpolation problec fcr a ... B112/B102
If, for any numbers t I< t2' ... ~tn of the interval (a,b), the function
X(t) = 0 is the uni e so'ution of the inequality (3) which fulfills the
() ~u L i
condition x( then there is at least one solution of
f 2
the problem ~1/ - ~ ). Ine relevant theorem is proved for the linear
case, and the general case is reduced to linear by effecting a certain
transformation in the form of the equation. A transformation T of the
functional space E containing the functions of the class C n-1 Ec,d]with
n-1
tne norm x(t) sup XM(t~l
/: , where a