SCIENTIFIC ABSTRACT FR:MITROSHIN, I.Z. TO:MITROPOLSKIY, Y.A.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001134700009-6
• Release Decision: RIP
• Original Classification: U
• Document Page Count: 1
• Document Creation Date: November 2, 2016
• Sequence Number: 9
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTR

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INVEpTOR: Ageyev, Zh. S . ; Mitroshin E . ~YY ~ ~.~_. ~
ORG: Nbscow Order of Lenin Aviation _Institute im._Sergo_Ordzhonikidze
(Moskavs ordena Lenina aviatsionnyy ins~itut
TITLE: A method for automatic spBCeCraf~ control. Class 21., No. 18;327
SOURCE: Izobreteniya, proap~shlennyye obraztsy to arnyye zr~aki, no. l3, 166, 36
~OFIG TAGS: spacecraft control, spacecraft
ABSTRACT: The method for automatic spacecr~sft control e~npl~~ys overload se~asors,
gyroscopic sensors, and control units. To achieve optimum t:erac~}rnamic performance
with changes of parameters .and flight conditions, the langit;udinal and tra:asverse
overload components are measured. The angles betwee:: the resultant ~overlaad vector
and longitudinal axis of the device and between the reference direction and
lenngitudinal axis of the device are determined. The aum of these two angles is yep,
to s ndnimum by the control circuits.
SUB C4I~: 22/ $UHY~ DA's: 15Apr65/ ATD PI~ESS:,~Q t~
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UDC : 531.55.019~6~'1.3.078
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Pressing Pow3ers on the Basis of Epoxide Re!3ins
f38~1].
S/1 ~+3i~t~/c~f~/~~~~4/C~~3/} X07
A 1 E~3/A026
250 h at a relative humidity of 95 - 98;6 a~ad a temperature of 2ti�C. Capacitors
molded in the K211-34 powd~~r ware al$o tested. The capaicit~ars moldE~d in F'EM-TT
powder withstood a1.1 tests,, and a considerl~,ble number o I' th,ase molded :ln x,211-,3~+
powder did not. Tn addition to capacitor inoldir~g, the ,PJ~~'~I~~'T press:!lrlg poy+der
may also be used in the production of vari+~us alectrica.!~ and radiate-chraict~l prod-
ucts. 7.'here are 5 tables and 9 Soviet ref~srences,
A590CIATI(?Nt Vsesoyiazn.yy zaochnyy energetiaheskiy inst;ltut (Al.l-[Jn:lon Power Enw
gineering Go:rrespondence Institute)
PAESk~1TED s
by the Department for Eleetroinsulation aid Cable Engineering

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Pressing Powder. on the Basis of Epoxide Re~cins ,~-i6;3/ao26
the resin mixed until the ~~alidifier is completely disso;Lved and the eeres~.n (or
stearin) evenly distributed in the compound. Later, a f:lller - having a temper-~
ature of the surrounding medium - is poured into and is ~rarefully mixed with the
resin for 2 - 3 min. The liquid mass is then poured from the mixer into card-
board or metal containers (in 1 to 1.5-cm i;hick layers and left, at room temper-
ature in the apen air for ?0 - 2~+ h. Upon complatiran of the partial. pc~J,ymer:iza~-
tion process, the solidified, dark-grey thE-rmoplast~,c substance is remc~vec~, from
the containers and crushed and ground in tyre "Perpleks" mill. The e;raund powder
is then passed through screens with 1.6 to 1.$ mm mesh ~~nd is ready to be procW
eased into various products by pressing or by pressure casting. Wheln sub~e~:.ting
it to campressian pressings the temperatur~a is 150 ~. 17(ioC, the speaif:lc presW
sure 204 - 344 kg/em2, and the tame of the pressed pawdF~r in the mo~.d ~s ~ �- 1 ~5
min per 1 mm of product thickness. The ma:ln physicamecYi;anical and c~i.~~..~trc~insu-�
lating properties of the P~1-TT pressing p~awder are cam~,lared with tr>os~r of r,he
K211-3~ (K211~-~~�~ powder. The PEM-TT powdisr was also u;~~ed far mcldi.ng mina ca~
pacitors which were subjected for damping for 500 h at a r~slative humidii~ of
95 - 9~ and a tropical temperature of 40oi;~ prolonged heating at E>.OU�C end
subsequent damping for 250 h at a relative humidity of !i?5 �- 9$96 and a uempera-
ture of 20oC9 and temperature cycles 4-60'~C, ~�150oC) w:l.th subsequent damping fbr�
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AUTHOR:
T~'1'LE:

S/ ~.~~~f 15(3/~a0/~ ~/~~ ~f `~r~
A163/A426
Mitroshichev, N.V~ Engineer
Pressing Powders on the Basis of Epo~cide Res:,,ns
PERIODTCALr Energetika, 10160, No. ~, pp. `>3 - 63
TEXTS The article deals with pressing powders made from epox3.de resins.
Thee author descrii~es in d~i;ail chemical Composition, production process, t.ech-
nalogy of pressing and the properties of tr:e new I1~M-?T (;PEM-TT) pressing pow-
der. T''na Soviet chemical industry has prociueed liquid an~1 solid epoxide resins,
of which the following are the most import~~nt: ~,1I,-5 (ED-'5)' ~~,-6 (ED-6), ~-37
(E-~7), ~-~}0 (E-~0), ~-~}1 I;E-~}1) and ~-4~+ i;E-~6~). Tn recent years, a method hab
been developed for obtaini~~ pressing powd~3r on the basis of liquid epc~xicle res~
ins. Metaphanylenediamine was used as sol,ldifier. The c~~hemical aorsposit~.on of
the pree~sir~g powder i~ as ~~o~.lows~ epoxid~9 re~iin 33>79~, me taphenyl~=,npdianllre
3�~ - 59~, growr:d mica 31.6, ground fluore~par 3~..2~ and ciex~es~.n car ~~te;~rin ()-. ~~Ge
When starting the production of the PFM~TT powder - basecl, x~artly on liquid epoac-
ide resin at~ud partly on ED~-fa resin -the r+esin is first l~~ea,ted with caresi.n (or
stee~rin~ up to a temperatu;ce of li0 - 120oiw. Then the si~,-].~,d~.fier ins added and
cars ll3
X
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S/143/62/0 Ci0/008,/Q01/OC-~
I011fI242
Investigation of ...
hardened by a atochiornetrio ~>>nount {8.2~) of the ee~me hardener
and contained 35 to 80~ ~~~' fillers such as T~-150, ~'i02, A1.20 ~,
ground mic*~, ground fluors~~ar ~.nd a lsl composition of mice and
fluorspar. All the spec~t~lens ~vere prsss~~d ~.nd agecl for 5C?(? hr:
at 2000::. ~ and tgS'were i~ea:7ured at f r 10~ cps. l~~inimLtm vry].uea
of ~ o.nd tg~ and the m.mximum v4~,lue of (~, were attained air hi f~~er
tempero,turea (150�C, 20000) with the stoichiometric .mount of
hardener. The degree of pol;lmeri~ation incres.sed~~:tth incre~.si~zg
amount of herdener up to the stoichiometric amount. ~ decrease~~
while tg~' and P~ rem^~ined practically constant w~:lth an :lncre~~.se
in temperature up to 150-18000 i`or different anaour,~~t$ of hc~rden~~r.
between 184 s.nd 21000 tg~ ~ ~xnd l.- inc~re~,ae o.nd ~,, decre~-~~es. ~~.
e.nd tg ~increRSe and ~,~ decre~.ses with ran increase in ~ f~.ller�
The most st:~ble filler ~systetn: rare those w~.th fluorspar nt~d T-:L50.
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dUTHORt `_r~litroshicl:~E:v,,,~N~V. , Lng:tneer
TITLES Investi~.ticn of electr:~.c~.lly .insulating materials
on the b~,s:is of epoxide resins e,t hi~~her tempera..,
tures
PyHIODIG~I,; Ener~;etika, no. S, 1962, 3f~42
TEXT; The dielectric cor~sta.nt ~ , the losF:s P~n;le
t~ ~~', Ind the volume resistivity Pv were ihvast_ ,~ 'ted as :t'unct:i~ns
of temperftture for the pure epoxide resin ~A.-6 (~~'D~-6} h:~,rc~en~~a
by different amounts oa' hardener and at different temperatures.
Soane of the resin speciv~ens were p~,rtial:ly harder�se~d by 7.+a, B..Z,
g ~ ~ f 9.7, 10.3, and 12. ~~ of metaphen-ilendiamin; others were
~~xd 1/3
~-
.r
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hol Normal and ~r~thnl~a~5t cal} . ~'
U~.~~ ~ ~t~men aru~ ~1ni,tt:a;l. Grp ~y (
' ~'erv`oue ~yr~tea~. ~erip~,era~. Nez~v~r~u~ ;~yeteM.
Aba Jour : ~;af Zhur � ~''in7.ogiya, No 9: l~`~A, No. ~~"~~~~+
author : ;~ti.t�~~,~t~r~~~,~ Y.~:,: �
In-~t ;, ~'ite'~gk ~y~c~.ica~. ln~titute
Tit1~e : On tree ~lcrtic ~;ranchee of tre Vague Nerve in Ian
Orig Yub : Sb. nauct:~r~. rRbot. Viteb~-Kiy med. in-~;~, x.957, YyP ~,
75-7
Abstract : It wKO dg~menatrated on 2`j(! r&dt'rater(.~3ard,~es ~ ex
wain} i~x the egos of ~.~ 9 g
and age; fibera rf the vl~gue nervA (~'~} t~aka part
in the c~.+mpcnition of tree plex~trie�thc~rac~.coaorta ~Prona.
They ez;,t~~r into the plexus of '^he branches
the cardiac p:16x1.e rand ~.li~^yctly from the VN.
comix~ directly 4'rom the VN o;�iginate at var~.ous 1.e~rel.e.
The gr~-ateat numlEr of brar~chee of tGe VrJ going to the
~ and ]./2
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Sas U-~ f~l, 1t) A~~~1 195:x, tl,~~:~t,c~p~.s ':hur~~~l 'nykYA ~~t~~, I~FY~ '.~Ic~. 1~?, 1~34~;~).
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D.N.; prl,li, u~oha$ti3~ ~~~; GAt)3VAI~'D, V.G.;
GAyyATSN, V.1~.; ~J,INg1~~, ~ y 1u.F.; Icy' ~ `,,,,.~~.~.~.~..:.w.....
pQyA~ov, A. ~ . ; ~-a~ov ~ r . ZElILUD, ~ #~ . r ~"~�~,
~~: ,~*N.; VQj,$E~1, A�A�F'.I,~rrabotnik; ~3NNNgTt~', p.o.e.,
FgDf}~~- S.v�~ GpNCHAR{~'rabot;aik; DF-~N~ p,.Ye., rabottil�k;
rabotn~3 C1~IIP~:[19A, I.A., G.N~ ~C
rabotnik; SIIMANY~' ~
~pCg~pKfl, ~'.'q. , an the
coal psx'~t�ri3 of ro111.n~
and technol.og ~ TgNXTCHD4 no.29sl3fi-�14S
InveatlgatinB poorer (gbor ~, trud. (MT.RA 1.7:4)
290 gedivaa sheet mill.
+b3. ~ o a~ngtitttta
'PSe1ntral' nogg na'~chno-ias~val,' d,s ~~ hko" ~ Yolkov:
1' gotrudn~i ii (for Gerasimov, Grua tBekh
chernoY netallur.g �q) 2 Listopr+~katnyy
~~~~ ~,tz.opol'skiY~ Fadosey k~binata (:for Goncharov,
~gnitogorak~ag,o matallurg~�cheskogo Si.~ny,~~.
ghe~etov, De~~i.n, Chuprina, Goxicharenko 9
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Question on Period:lc Solutiana oY Nonlinear Sy.~tems of Equati.ans
VPith a Small Parameter
among their eralutione x~ ~ x ~ (t), for which the cha:raoteristic equ~atiori
n x 1,
corresponding to the systElm of equations in variationa- 1~
d &'x~ ~
{41 - t- ` ~x; (xo) Sze ,
has only roots with a negative real parr,
3. There exists a convex neighborhood 17~AE Ln at the F~olution x ~` in
which the (~{x) have oontinuoue partial der~.vativee to x up to the alaaon
order. d
4� For x, x', x~~ Q~p and all real t ifi ha~,de
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0111 !~, 22
IOTHOR3: xi tr.~i?ol! eky.~ Y'u.~1,~,~:.. 8nd Lykova, a.B.
~~ ~ ~...r
TITLEt On the Question on Periodic Sol~~tions of Nonlir~e~ar Systems o;f
Equations With a Small Parameter
PERIODICLL~ tlkrainekiy matematioheskiy xhurnal, 19do, V'ol. 12, Ito. ,~~
p~~ 39'1 - 401
TEXT: ~'he authors aonsido;r the system
Rhere E ~ 0 is a small pi~ram�ter f t is the tim. f z,,X,,Y are n-dim~~neiox~al
veotore of the Euclidean En ,and the folla~ring condit;tvr.~e are Qatid~`i~ed f
1� Y(~,x} are continuous and 2~i - pexiod~.4 in t ~
2. The equations
2i
There ~(x} � ~; ( y(t,x}dt ~ have an ie~olated stati.oal solution x* . x*
d
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A2~L1 p,02b
La~a~~ A`Y~.~v~znant,s in the Fitt~~ tsf ~nfl,.:~,,~.nQa~' M+~~u~~a~nLc~ '
P~T Mo~~y~n..KO~s 'R~;
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a ~L*~.on p~"~'J~.~~a!=a
~~Iro ~.nv~a~~.ga~~d una~abl~ v~.b::~ation in tuxbin� ro,~at~~ t,~ari.s, ,.
n ,~ ~Y' me#,k~ad and i.nv~at~.ga.' ~ 0
~1{~ d~,~tr't'~.ble~,~-.'1 p~1.7"f~.mtxt~!"~s
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o~ ~Y'.e,~'t~~ - bax~~ 9 ~~~' 9 ~R~:E 1~) ~~o ~n~ag,F;,~
i:~ t,?~.!+ tr' b~at3.on , ~, ~, ~ ~ end O ~8., ~,i.k~,v,~ t
Ktincz~enk:� ~ f 8) Yu~O~ ~,.,,r...pL1. ~~,i.y ~,to ~ ~r4x:~rat~~~
F.~~ a , hanging pat~^am , f b~L aAp
~.*~ lAr~~a!�' ,~~,f~~renti.al ~r~~ae~t~.on~ ~t~tk~ a~1CV~3.~r ~� o~~i.bJ.~ r~ssar. ";h cln
to ~in~ar' ~~~~,~ma ~ri.th p~z~io~.i~ aka ~~c ~~n~~~,and ~ .~z~g 1
A "~~a~;ed ~yatems9 ICaVo Za~d3,~' Zubax�~v (Rdf~ $) 1rr~c; �~
a~: L�~, ~ o N o N, Hogal,~b~av and D: N
~-at~~ ~a x�~lrcxa~G~,on ~~st~ms; fit. A~ $r-eu'1~.=,
ad the oompensation px�~.n~ipl.e 1n l.on~ l~n~m~ ~ ~ a~~flcs~.:.~ ~;oa~f`1. i~n~k:.~,
~:rc~,+en,d
~}~ ~~~~0 1~tv~~t,i~~a~e~d ail.~f'~:r+~ni~~.~. ~,~r,~~;*,~,.on ~ .~'!"�~~~~'~'~ ~~~�;~-KC!~ w1.~Y, .~~.~~~ ~~~~'~'~
wk~.i.~s~ ma;~ b~ '.~a~d i n the ana:lY~i~ of ~peai~J, kY
~ ~ A~ M, Fedo:~obr~nlio ~R~f .. ~:~) ~kzo iri{:.xpclu.o~as~.~.~~~i~ar'~~ka~ (~tExt
~~vc~~.~ving p~ ~~, r rc~~c~op~ ~Y~ , era, ~
~aanox~l~ ~~aa~:~.on~ r~a~o~~,bing a e~,,At~i.n ~ ~ ~ r~;.f.C~ ~.n mrr~~~~'
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L,i.. `~ v
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r ~ ~~~,n~+r of a~elaxa~~.oan os~,~,:l.l.at:l.an an ba.~~mor~i ~ a~::~ ~_z.~,t.i,~:n,. A
ti~~ ~.na.I.~.,v
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A?~2/~~a~'~
AUT~dR ; ~tropal.' ~~,i~t ~ ~~~ .
r;
~.ee~k. Achiever~e,nt~ i.n ,he I~ i e~.d. of 1Vr~ne.I.~:ne~x� l+ie~ t~ a~~~..~.
TSTIjE a L~
In~yni~ar~kiQ, 19~C, Vcai, ~, Na ~, Fp~ i~~ ~1.~3`a
PEA.Z4U1CAL6 Roxp~a~ o ,-w~u1t.~ off..
enex~a.l. ~urv.,y of ..~w..
Tom; The ~io2~s preecents a IW{ri~f and 8 c~.u~ov 1.ri t.~a~ fi,?1~~
, the ~~~~{~~~~or~ ~:a N,~:. ~~ Y ~ ;;onc.+$pf
~:ained during the lamt', deoade- by
ca, Th~~ author' gives a brief e~.pna ir-Icoe~y~tPm~~i.t,h a:t.aw~
oY nc~n4~linear msohanf. ~_, vi.b ~,
toti.c evolvement ~'~'~~ ~f differential and intsgv't~~L ca;.oui'us` Th:
of as~tnp
Ly eb,.an~i.ng p~e~netera by m
solve a. number of problElma and exFs et etnseno~brations an~~
mRthod was used t,o vib~at;ing Y ..
-------~_~`~~ncy "~i.rau~a:lda..~.
transition through ~esone~nce i.n non-~1ine~�
roaoop , mot; ems, pay:..
i.~l~le ~,.ength pendulum, the effeot of ai a~o~.u1a~~ed- ~'r�e~' -- a s.;r~.
e v~ unstebl.e p~;'ooselses in ~ t ^ V
~,U~'~kli.ne XQtOr~ r r; . ~ ,
.f~orae on a non~l.inear vibrator,
r~ritioal. numbex�s 1.n cran~~z1af't:u, cent~if~ages' to ~nl.ve a num
awe ~~ou.gh V~k~l.:~r ~Re~~ 5l and aSaooiaG+,Aa a r~ a amp:lt..~
Latei,y, the m�~hod we~a used 131 ~ m~~~
a I,n cyolot;ron cai.r�uia~i,on, ~~peoonane et~d~~~oouati ~ :.
be* of ~z'obi.em ~ ,, ree
tude~ oP synyh~`atron oeoill~~tion ~yited by ~ aut,~c)."~` ~r~A UkrBS~t, reaent~ly the Ctdal.
teoreticheskoy fi7,ik9. ~fg~temati.cheskpga in,~tituta im. ~. A.
5teklava A:N SSSR (Uepsrl~~nent oi' I'hearetic~xX Physics +~f the
Mathemat3.cs Inet~ctute z.naexi3 ~� ~.. 5tek3,av of the AS ~JSSR). He is
directox� t~:f the Labaratc~wiyt~ teoret~.whe~ek~~y fi~ik~.
Ob'~yed3.nennoga insti tut~z ye.dexxaykh ire].@d~~vaniy (Lab+~ratory fcr
Theoretioel Fhysics of i~hg ~ainb3 Instit;ut~a of Nuclear xeeearchj�
Under his supervision ai~out 50 d~.ssert~~ti~~na of pars+ane
aspiring for the degrae~3 of Canda.date car 'Doctor were defendedo
He founded schools for nanlinear meohax-ic,a (Kiyev) a,nd
theoretical physics (&toi~cow, Dubna~ Kiyev).
Card 3/4
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Nil~olay Nikolayevich Bo~;alyubavt ~~3~~~ 369-'~ -~~1 "~
~On the Ooaasion of Sis Fiftieth }3irt:hd6ty~
Later he occupied himself with the th~~o:ry of nonlinear
oscillations and d+avel,oped apprnxitnatiun methods in the field
of nonlinear mechanics; he then passed oin the asymptotic
methods ix~ statistical. ;areahani,os and statistical physics, and
published, among othQrs9 a number of p~~p~~rs in the field of
statistical physics of el.aseioal. systeraa~~ kle d@veloped a methc}d
of distribution functions and of gener~~t;lrg funetionals for t}ie
solution of the main pxoblem of statia�ti:al physics -the
ca3aulatio~n of thermodynamic functions b;;t means of the
molecular characteristics of tha subet~~n,.e, in which conneatican
he developed a theory of non-perfect g~~.s~ias. By means of the
msthematiaal. apparatus of distribution f~~anctione hs fuxthex
dealt with the nonequilibrium proeesseig ,.~s well as with problc:s~s
of gw~,ntuui eyetem$; he developed a metl~o~,t of approximative
second que.nti~at;~on in order to remove t''�ie difficulties arisi~~
in connection with the symmetry of the d+,:nsity matriz. He
further dealt with the theory of the d~egr;:neration of non-
perfeet gases and made the fArs+ step �tonrards developing a
microscopical. theory of fhe supexfluid.tt;;~ of He TI. Further
Card 2~4 work was devoted �sa problems of supracian+'luctivity, and in
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~~(o)
AUTHORS: l~itropolt s;kiy~ Yu. A. ~ 'I'yabliko~r, $. '~,- SO'~f53-~9-'~'-9~1'~
,,....~, �~.,,,~,ti,.~.,,..,.~4.,,~...,,~.
TITLES Nino Nikolayevich Bo,golyubov (PJikolt~y Piikolayevich Bogolyut~av)
On the Occasion of ~iis Fiftieth 8irth~~a;
~k pyatideeyatiletiyu s~~ dn~ya roxhdani;~a~
PERIODICALs tTepekhi fizicheskikh na�uk, 1959, PoI 6~~, Nr 1, pp 159-164 (II3SIi)
ABSTRACT: On August 21, 1959 the well-known Sovi~st theoretical physicis�.
N. N. Bogo~lyubov celebrated hie 50th b:txthday. Re was born at
Gvr'kiy, ~~orked at the seminar of N. M~- ;Krylov already in 192;.;,
and wrote his first sai~entific paper i~~ 1924; in 1925 he was
- ~ ~ Aspirant at t;be Chair for Ma~thsmetiaal Physics of tlxe
AS USSR: e,nd defended his diseex~tation in 1928. Two y+?arFl later
he was awarded the title of Doctor h. es. ; in 1939 hs became
Carrespond,ing Member, A,S 'akrSSA~ in 19~~7 he was appointed
Correspand,ing Bdember AS USSRy in 1948 l~aal Member AS UkrS3R,
and in 1953 he became Meal lHembsr AS U~S~~R. Hs began his
scientific career as a .mathematician and published a number o"
papers (ca.Iculus of variations: theory of periodic funetions9
Card 1/4 differential equations) together with l;~f s teacher N. M. Krylo'r.
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u~ t7~~
On Periodic Salutic~ne of S4~rs tetr`~;=_, ~;? ~3:ar~:~. wr~e~r. SOV i ~'F~ - ' ? - ~~ ;,r''
Differential Equat:i.ons Wzt;~-E i`IrJtt-Df~'oren~,La.bie
Right Part
a~~~ .~ r ~
~~ t.~ r i
w'r2:ere D ~.~ ~ ';r,~~?:a.r; t :.~la~~.i r~i~ ~.~ ma.t.r. i ~. a"~d. ;~ i ~-. =.t ~ ;.r~~~,.~ ;-
GC?ITI~}~.Tl~.f~:~.::~rl ~ j..,' V�; ~71,~ ~ i ~f.i'!!`~ ksX~'7~'C3�.fl.t i ~;~ ~. ! !.iCll..' .,..;'t` ~3 y< ! }1 ?'i
~t511t3"T13~2]'~~ ~'1 ~ K-? c~~_rr7~
tUSSR)
ABSTRACT: Theorems Given the ayatenl
~~~} dt ~ ~X(tzx}~
where x,X e,re :~ofnts of the En, tie the ti~~e; ~ ? 0 .~ -~ ~~~~..~~
parameter. a} T,et X(t;x} be rontinuoue X(t+2~C;xl Xt,,:x ~1~~~
where ~,~i"
0
have the pxoperta.es: 1. X('~ } have bounded partial der?v~::t~.�~~
with respect tq '~ up to the third ordex inc.lue~.�ae ~,r 2 ~ I~~Ioz~ ~~r~p
eol.utions ~, t ~,~t) of (y1) 'there ex~ete onl;~ a.sol~.fi.z~a sta.} i ~;~~.~.
Card 1~~ solution ~ ~ pia fox' which
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7
~+~(~)
#!U'~3 s Bitropol' ski~r~,Y~_�ar~d- Tysbl ikov, S m Y $ I30q; 4 ~ ~ ~ 1 ~~; ~8~ x ~

TITLBs ..~.~.w....,..,.~.~_..w..-.-.~--
pikale-y 1Vikol�r.yevich Bogolyu.bav (on the ga~Waeion ~rf hie 50�h
Bi,~thdaY~
PPRIt?~XCALs Ukrainekiy mat,e~aatis~heekiy zhurne:lp 1959v 'Vol 1 ~ q Nr 3~

' PP ~95w34 i (17~~SR)
AE-S~'RIICTa The ~utbt~re g~~ve game biogr~-phioa~ data anl~. ~ survey c~z~ the most
a,ase~#3.a~1..,elai~ua.is r~ulta of 8oggl~-ubovs Se. ~s barn can A.u~zst
. ~4.q~.'fgOq in 4c-,~ok.�yo Siaaoa. 7q2~ he eye in the seminar of the
.. -. .Aoad'i~i:eian I~~,YaKryla�; in ~q24 he publ.deh~~d hie first paper; in
i~.2S. he. publi'~hed hie diesertatiom; in ~9S~D he became Dr~4~aathohoa 9
. in 1 q39 he becoamg s oorreeponding member o f the �S Qkr o S SRy and ix;
~q~3 .~vade~aiaj;an of the AS USSRo Bogolyubo~n has t,~a Stal,in prixest
a Lenin pries,, trrp Lenin orderep faur further distf.nctians~ and
the Merlani pa~ize (~ologna)~
There ie a pht>ta of Bogolyubav sad a list of hie X79 putllicatione~
With translatalons in other lanSuageso '
Card 1~1
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6bG45
sc~v/~~ --:~-~. ~ -1./~7
at~~
On Peri odic Solutions o~~ Nonlinear Systems of Dii'f erenta. r~.l ~c~ua-
t ions That Come Close tp that Autonemau~.s 4n~ee
approxamat:ion of the periodic solution of system (~.)
is given i:~ the form: x.'I(t)~+Dh~(i~j+~,u(t,xb~~Dhi; ~%) ~ (~'~)
where h'. (t) is the periodic solutions of the sysiJem
of equa~io~ns
_~ ~ ~
The unique, stable and periodic solution of sys~te~
(].) is formulated: ~
x(t) = xo + Dh (t) + ~;, u ~t,xo + D:h (t}~ .
There are 4 referencea~, l of which is French, 1 So-
viet, l Italian and l Germ~.n..
~.SSOCTATION: Instytut m.atematyky A1~1 URSR (Institute of Mathematics,
AS UkrSSR)
SUBMI'I"I'ED : Duly 1, ~.9 59 `,
Card 3/3
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666~s5
SCiV/21-~-11-1./~~
~n Periodic. Solutions off' Nonlinear ~aystems of ~}i.f'fer. enti al Ecua-
ti ons That Cotiae C1:ose ~to the Autanamous 4,ae8
~~
where egquation - 1
Y(x) = y(t,x)dt (3)
dman~ its a~~ = x~`(t) solutions has ~~n isolated ~>tatic
solution x# ; xo , for wh~.ch the equation
`Jn~ .-c~~ -, ( a) ~ ~ Q has all .its radicals ti;rith 3ub-
stractable re a7. parts, and that witxiin Eucii~ea~i ;;p~.~ce
En there e:Kists a convex area U f o~� the
x'~'= x'~ (t) ,solution of system (2~, in which funci;ions
t~(x} have crntinuous partial derivatives by x izp to
the third order inclusively, wherea, f~~nctions
Y(t,x) are limited and satisf;~ing the Lipshits
condit~.ans `Y(t,x) I ~ M (~~
a.nd ~Y(t,x') - Y (t,x")~ ~ "~~x.'-x" ~ (6)
Gard 2~ where ~d and ~ are additional constaalts. The fi:.~~st
~~
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~ s i.
bbb45
~~
AUTHORS: R~~.tropol's''k~'y, Yu.. , Correspondin@ Member, AS UkrSSR,
TITLE: On Periodic; Solutions ~of Nonlinear ~iystems of Differ
ential Equations ~t Come Cloa+e to tb~,e Autonomous OYies
PERIODICAL: Dopovidi Akademiyi nau;k Ukra~:~ns'ko~-i RsR, 1959,, Nr 11,
pp 1175-11`,8 (USSR}
ABSTRACT: Exam~.ning a system of nonlinear differential equations

where x,X +~nd Y are n-dimensional vE:ctors of Eucli-
dean space E , ~, ~.s a small additional parameter and
t is tame, tie authors prove the ex~~stence, unique-
ness and stability of the pexiadic~ kolution for Chet
system and give an estimation of th~+ d3.fference t-e-
twAan that solution and its f.~.rst approximf~tion,~
They as sum+~ that functions Y(t,x) a~^e periodic a~n t
with a per:~.od of
2 ~ that a system of equations dt = X(x)+ ~ Y(.~)

Gard 1/3 = c~ (x,i, ~(2}
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An investigation of instatianary .
dt`_wtl~v+
S~04~;~62~pUC;~OG7~0 iC;~1OC)
~~~~jc333
00 at~Q i dtt~6
2s ~~ (rwl -- sv) a; 3Y u - 2w1 da
where
�� au~ our
air ~- ~; ac~a~ ~ ~ aaQ a� + ~~� a~ ~,
where Ci1'1 ~ is the virtual energy averagod on th� osci:llation o~,ycle of
the ~' �th term of the Fourier expansia.n of the fc~rco ~7f distu:::,~:~ce.
Analogously one can construct the eauationg of the se~~onci apprar..ir.i~tion.
Cansiderod is the case where there are only potentis.l force:3 ~~res�rit.
~'he application of the m�thod an systems with uistriouted a;ax,~r:,ctex;~
is shown by the fallowing examplass transverse oscillations of a Aar
of the length 1~ at the and of which them works an a:~iai for,c;
Card 3/4
{~/'~
ti'
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~j~~~ 3 !vf ~,~
~~~~ ~z/~~o,~ ~7/c1~:/ _
c11 ~~~~53
x~;~rxoRS: ~:itxopo~.'s'kiy, Yu. o., .~~~ysy6nxo~, :~. ~.
TITS.: An inv�s~a:g~t~.~ri~_ Of "i~i~"t~"ti,onaxy o~cillat:ing P
systems with distribut~;d parameters
PERIODIC~b: ~?ef erativnyy zhurnal ~ ~vtate~matika, nc ~ 7 ~~ 192, ~~~~~ ~ f -
abstract 7183. ("Visnyk k.yivs k. un to , z95y~
ser. astron., r~atem. to mtlkhan., na. 1, 3-~7)
T~~tT: By aid of the energetic m~:thod of `.tu. ti. ,.itrano,l ~ s'.ci.y one
investiQatea one-frequance processes in a numbcx of~cemethod itselt~Lisl
sys te~ue with distributed parameters. ~i.rst of e.11 tjlo
described: Tnstsad of setting up strio4 equations one sts.rts from the
expressions far kinetic and potential energy and the t~enexal.i.~od farces
and se ~s up approximative equations fo:c the determinai`.ion of ~:he prase
and the amplitude of the Oz3Clllatlv215� ''~ thee~can vi,ctualy~~Y~+~,:~;~aw~=iu
of 4he fixst approximation on� calculates c.n ~ ,d ;;eve carxiad out
the forces of disturbance at asine-shaped proc-�~~ .ro~z.~
during a complete oscillation cycle on th� derandlthe~~phase.e~~he obtained
correspond to the variations of the amp'itu
Card 1/`~-
;;
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- ~:: ~..
� AnTRflfls Mitropa3'ski ,_,_. ~~ r....~..._ ... ,
TITLES On the Stability of a One~~parsm?txi.:: rau;i~;~ o~' Lr ~,A~ions of a
System of Equs�ti.ons With Variable Caeffi.~~i.~ant,s ~Qb zzstoyohivosti
odnoparametricheskaga semeystva rea}~eniy .~:Ls+.emy u:ravneniy s
psremennymi. k~ef~~.ts~.yEntami)
PERIODICAL: ~Jkrainsk~.y matematioheski.y zhu.z~na1P ~958~ ''~c~l 1Qy Nr 4P
~~ ~~~~~39~ (U~3sR)
AB9TRACTs Suet the system of eriui~t.ioris
f~) dt ~ ;~~ ~�sx~ f ;X#~~9QPx9
satisfy the fa:l~.cawing ,ondi,ti.on>3: " ~ for the undis'~urbei! system
~2) ~~ ~ ~~ ~ yx), ~~ conat
i'or ali "~(~aa~'~~~) there sxiste a family of stable periodic
eplutione
\3) X~Xa~~..y+~�~lt~'`~~f zf); ~;~.i~)~x~('~P~~+~,P ~:z~�3t+,~~;
2) there exist ~ a,nd ~,~ so that in the domain -ara%t tal ~
xED 9 O ~' ~, ~ ~oP where D~ is a ~wneihl~orhood c,f (3) i,ri the
3
Card 1r2
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