SCIENTIFIC ABSTRACT MITROPAN, A.P. - MITYUSHKIN, YU, I.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R002202110009-4
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: July 20, 2001
• Sequence Number: 9
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

USSR
SERGIENKO, I. V., STOGNIY, A. A., MITROPANX
"System for Automated Debug ing of Programs for the Dnepr-2 Control Com-
og
puter"
Sistema Avtomatizirovannoy Otladki Progranuii dlya LIVS Dnepr-2 [I-11glish
Version Above], Kiev, 1972, 170 pages (Translated from Refc-Tativnyy
Zhurnal, Kibernetika, No 1, 197.3, Abstract-No I V819 K).
Translation: An automated debugging system for programiLs written in
Autocoder as realized for the Dnepr-2 computer is described. Further-
more, a method is studied for developing an automated program debugging
system written in input language in general.

USSR UDC: 519.24(07)
WTROPOLISKIY A. K.
ItStatistical Computation Techniques. Second Edition, Revised and Enlarged7'
Tekhnika statisticheskikh Pfchisleniy.-Izd. 2-ye, pererabot i dop. (cf.
English above), Moscov, "Nauka!', 1971,:576 pp, ill. 2 r. 20 k. (from
RZh-Kibernetika, No 7, Jul 71, Abstract No TV372 K)
CNo abstract]
26

UNCLAS Si IED PRO~ESSING DATE--04DEC70
Z 006 P
OF ALKALINE EARTH AND ALKALUMETAL DISTRIBUTION IN BOTTOM
'SEDIMENTS, OF THE NORTHWESTERN,PART,:DF AlILANTIC OCEAN -U-
~l-'AlfiliOR-10J)-BELYAVSKIYr G*A.t MITROPOLSKiyo AN.YU., ROPIANOV, V.1.
_,C_bUNTRY OF INFO--USSR, ATLANTIC OCEAN
,SOU RCF,-GEOL. ZH. -(UKR. ED.) 1970t 30(2)v~142 9
ISHED ------- 70
4ATE PUBL
,SUBJECT AREAS--EARTH, SCIENCES AND OCEANOGRAPHY
~~TQPIC TAGS--ALKALINE EARTH METAL, OCEAN BOTTOM, GEOGRAPHIC LOCATION7
BOTTOM SEDIMENT
,,CONTROL MARKING--NO RESTRICTIONS
:DOCUMENT CLASS--UNCLASSIFIED
,PROXY REEL/FRAME--3005/0960 STEP NO-.-UR/0008/7C)/,,)31,11002/01-~2/01.49
CIRC ACCESSION NO--AP0133046
UNIC L.A S S I F I E 0

,-:2/2 006 UNCLASSIFIED' PROCESSING DATE--04D-EC70
CIRC ACCESSION NO--AP0133046
~_ABSTRACT/EXTRACT--(U) GP-0- ABS'rRACT. SAMPLES OF BOTYOM SEDIMENTS WERE
-MENTS WERE
:,TAKEN IN 4 SECTIONS WHICH ARE DESCRIBED# ALL ANALY?F-D ELE-
--SEPD. INTO 2 GROUPS ACCORDING TO THEIR GE14ETIC CHARACTERISTICS: (1)
CA-, SRI E)At MG, AND K AND (2) BE AND NA* THE BIOGE141C AND CHEMOGENIC
FACTORS PLAYED THE MAIN ROLE IN DISTRIBUTION OF ELEMENTS OF THE IST
-...~fGROUP. THE DELIVERY AND REDISTRIBUTIOWOF TERRIGENOUS AATERIAL PLAYED
.THE MAIN ROLE IN BEHAVIOR OF ELEMENTS OF- THE 2ND GROLIP. THE ELEMENTS OF
-:~"'THE IST GROUP ARE DISTRUBUTED MORE OR LESS ~~UNIFORMLY IN THE STUDIED AREA
"WITH:SMDOTH VARIATION OF THEIR CONTENT IN VERTICAL DIRECTION. THE
..ACTIVITY OF LABRADOR CURRENT AND THAT OF,GULF STREAMr W-HICH SORTED AND
,---~:-TAANSPORTED THE PRODUCTS, OF ROCK OISINTtGRATION? DELIVERED FROM
,l'-l`CONTINENTS AFFECTED STRONGLY~THE DISTRIBUTION OF ELEMENTS OF THE 2ND
FACILITY: INST. GEOL. NAbKr KIEVP USSR,

~IPIIIOCESSING L)ATE--13NOV70
12: -071* u N ASSIFIO
OF Su-mE ELEMENTS'IN, THE BOTTOM SEfjl,'4;-:NTS OF THE
ATLANTIC OCEAN
....~t~AUTH(3R-(03)L-i~ELYAVSKIYY G.A.i M IIWIKI" K I Y vG.YU.t IWMANOVt V.I.
~'.__COUNTRY OF vqFrj--usSR, ATLANTIC OCEAN
'~-SOURCE-03POV. AKAD. ,"AUK UKR. RSR, SER B, 1970, 32P), L98-202
~'aA T EPUBLISHEO ------- 70
SU&JECT AREAS--EAlkTH SCIENCFS ANO OCEANOGRAPHY
-.10PIC TAGS-GEOGRAPH-IC LbCATION, OCEAN 130TTOM SAMPL[lo~, 11-plLm r-AL
PUTASSlomf SODIURt CALCIUM P, BARIUM VANA; I L),"l. NICKEL,
COBALT'l It_l%'O-N, CHROMIUM, STRONTIUM-r, TITANIUM, OERYLLIUM~
014TR C LMARKIN-G-l"40 RESTRICTIONS
:-..DOCUMENT CLASS-UNCLASSIFIED
STEP NO--UP,/Oft42/IC)/03;1/003/0198/0202
,PROXY kEFL/FkAHE--300,'i/I726
CIPC ACCESSION NO-AT0131992

:-.777,777777
~02-1 UNCLASSI FIED PAOCESSING DATE-13NOV70
:..C-IRr ACCESSION NO--AT0131992
GP-0- ABSTRACT. THE DISTRIBUTION OF -K, NA, CA, BA,
Nll,~Cflt SR, MGp FEv CRI TIt BE* AND ~MN BOTTIJIM Si:(JIMENTS -.aAS STUDIED
SITUATED IN THE L014P S OF THE GULF SI'RE:AM, T;iL- LABRADOR
-FOK 4 SE
INTERSECTION, THE SPATIAL E'
-CURRIENT, AND THEIR PATTEVIN oF ELE;'l .41
I-D BY BOTH,THE CUR~'FiNT 41-PID THE GULF
DISTRIBOIT!ON W4S AFFECTE LABAADOR
~-STKEAMt. WHICH SORTED AND TRANSPORTEO PROOUCTS OF ROCK DISINTEGRATION,
M CONTINENTS, AND MOTEU ~MIGRATIGN. J OF
-OELIVERED,*FROI PRO, IND PPTN. 1310GENIC,
.-'~':.04E.1-10GENIC, LITHOGENIC, AND HYDROGENIC ~MATERIAL. FACILITY:
INST. GECL. NAUKv KIEVv US'SR.
U
-CLASSIFIEO
N

USSR
UDC 517.948
NITR2P.0L'SKIY, Yu. A., Academician of the Ukrainian SBR Academy of Sci-
ences, FILICWOV, P. F., Institute of Mathematics, Ukrainian SSR Acade_-7
of Sciences, Kiev
"Using Series to Solve Nonlinear Differential Equations With a Deviat-ing
Ixgument"
Moscow, Doklady Akademii Hauk SSSR, Vol 212, No 5, 11 Oct 73, PP 1059-lo62
Abstract: A useful method of solving equations with a deviating argiLment
is the method of steps which reduces the given problem to solution cf an
analogous problem for a sequence of ordinary different4-al equations. in
this paper the authors propose an effective mel"hod for using series to
solve this latter problem, utilizing the. Cauchy formula and "he appro-
priate notation.

USSIR
ROPOLISM. Alcademi
cian of the Ukraininx. Acadere?, of Sciences I~u~A.
LIMOVA 0. B CGATXM Ukr. Acador:,
EV, B. IL (Ilathevia"cs Institute - 7 of Sc-7Crc.:?S)
"Method of Rapid Convergence in the Pi~olilcr, of Construct,,ion of a kyapunov
Fhnctionll
Kiev-,, Depowidi Ak-aderLij- flauk UL-ainslkoi RSIR: Seriya A - Fizyho-i2ekhr~.Chl-d ta
Vauky; fiurast, 197 2 jPP 702-6
~ABSTWP A method is sligrgestarl for the constniction. of a T~jrapl_Moir function
V(O, X) of a weikly nonautonon=3, linear system of eqi.,.ntions
dx
Ax 4 P($)x,: =~40
with the assumDtion that P is smn ani P(O) is a fairly snooth function
of representable by 0 in the f om of a. Fowter ser:'L*0!1,
roposed nethod is based On t I,-- a
The p de of
substitution of variables ensiaring rapid convergence.
The article jxy;hides 27 oqivitioao. There aro 9
2

waltMATiM
Differential and Integral Equations
USSR UDC: 517.917
SAMOYLENKO, A. M. Institute of Mathe-
matics, Academy of- ences of the Ukrainian.SSR
"On Quasiperiodic Oscillations in Nonlinear Systems"
Kiev, Ukrainskiy Nfatematicheskiy Zhurnal, Vol 24, No 2, 1972,
pp 179-193
Abstract: A system of differential.equations of the form
Ja d(p.
rA (a, q), e).
+
(a,, al v(
is considered,,where a is all n-dimension, actor,
i san m-dimensional voctor, it - (AL ...... 1") and
(11,, B.) are vector f unctions which are per iod ic wi th re -
spect to with period 2-n, )-~~O-,, ,,J are constants, c is a
small parameter, and t is time. A method of asymnptotic.inte-
gration. is proposed, for this system which yi(Adts approximate
soletions and dete-n-iducs the exiatence of iwrariant toruldr,13. set,,; of the
system., Civing asymp"Llotic expansions oll the solutions wbic-11 fill the invarinnt
1/2

USSR
M=POL'SKIY, Yu. A., SINOYM,211KO) A. M.) Ukrainslpiy ~hte.,,atiches..iy 7,1,.I~rnalj
Vol 24j, No 2, 1972, PI-I IY9-193
toroidal s--ts. TIie results o? t%e analyeir, am twed in investigat on of a
quasiperiodic oscillations of a system described by n second-ord,--r differential
equations. Bibliography of twelve titles.

USSR UDC. 519.2h
MITROPOL'SKIY,,Yu. A., KOLOMIYETS, V. G.
ftUse of Proba:bilistic and Asymptotic Methods in the Theory of Oscillations
sit
of Stochastic System
Mat. f-Lzikp-. Resp. mezhved. sb. (Mathematical Physici. Republic Inter-
departmental Collection), 1971, vyP. PP 89-95 (frc:o RZh-Kibernetika,
No 12, Dec 71, Abstract No 12V399)
Translation: A brief survey is presented of research,done in the depart-
ment, of mathematical physics and the thecry'of nonlinear oscillations of
the Institute of Mathematics of.the Academy of Sciences of the Ukrainian
SSR in the last fe-w years. Bibliography of ten titles. Authorst abstract.
17

MAnUZATICS
Differential & Iategral Equations
USSR UDO 517..544.3017.947-43017-947-3
HITfflRQL1S1Ka1Y Y A. and KUL'CHITSI(!Yo V. L., Institute of mathematics,
Academy of Sciences, Ukrainian SSR
On Asymptotic Integration of a Nonlinear Mixed BouiAary Value Problem With
Partial Derivatives"
Kiev, Ukrainskly Matematicheskiy Zhurnall Vol 23, No 4, 1971, PP 543-547
Abstracts The problem to be solved Is rL nonlinear m.1-xed bourdary value
problem in three-dizensional space with pal*tial derivatives and nonztationary
boundary conditions on part of the bounding surface. Thir. problem ia reduced
to a Cauchy boundary value problem for'an ordinary first-oxder differential
equation with positive unbounded operator coefficienta# and thi3 problem is
considered In an orthogonal sum of' F-ilbert spaces. A formula which is
asymptotic with respect to the small paxameter and which is uniform with
respect to the small parameter and which is uniform with respect to t in the
interval Z 0,2T is obtained with the aid of a Taylor meries expansion. This
formula is the solution to the Cauchy problemp and in a generalized sense
N

USSR
MITHOPOL'SYIY, YU. A., and KUL*CHITS)aYj V. L., Ulaalnskly Wenaticheskly
Zhurnals Vol 23, No 4, 1971# pp 510-547
(in the sense of a scalar product) it also satisfies the original problem.
Under certain conditions, this asymptotic formula ~dll be a classic solution
of the original problem.

USSR UDC 517.917:517.946t5lg.2
KOLOMIYETS, V. G., Institute of Mathematics, Academy of
Sciences UkrSSR
"Averaging in Stochastic Systems"
Kiev, Ukrainskiy Matematicheskiy Zhurnal, Vol. 23, No. 3, 1971, pp 318-345
Abstract: It is pointed out that although Kolmogorov-Folker-Planck equations are
an effective method of exciting random processes in nonlinear oscillating systems,
it is difficult in the majority of cases to subject these equations to analytical
solution,with the exception of the particular case of linear systems. The appli-
cation of the principle of averaging is:said to yield interestipg and important
results f6r quasilinear systems.containing a small parameter. The Kalmogorov-
Fokker-Planck equations in this case yield applicable results if the initial
equations considered describing the random oscillator process'can be reduced to
Y
a standard form. The averaging can be carried out in either the most standard
:Pquationswhich are 'hen easily analyzed with the aid of Kalmogorov-Fokker-Planck
.-equationsor in a KFP equation which. also has a standard form.
44

USSR
MITROPOLISKIY, YU. A., and KOLOMETS, V. G., Ukrainskiy kLitematicheskiy
Zhunial, Vol 23, No 3, 1971, PP 318-345
The essence of the method of KFP equations and the bazic assumptions of the
theory of differential equations.with random functio" are reviewed, starting
with the first results obtained by I. I. Gikhman on applying the principle
of averaging for stochastic principles and also giving later developments
R. L. Stratonovicht R. Z. Khas';dnakiy, Vrkos, quid the authors.
2/2

USSR
MITROPOL'SKIY.,,,-Xw-;~ A., and LYKOVA, 0., B. ,Dopovidi Akademii Nauk Ukrains'-
'kt&-MR! "-r�i~~iya AFizyko-Tekhnichni ta Katematychni Nauky; May 1971,
pp 409-413
THEOREM: The differential equations
A,~ X, (t,
(2Y
=.4,s + X., (ti 1, S' e),
dt
dt Aj~ + X, 0, 8) (3)
are given. Suppose the functions in the right side of equations (2) and
(3) have certain properties such that the spectrum of the operator A, is
critical and, with the operator A
21 does. not intersect,the imaginary axis
but is located to the left of it.. Then the-stability of the position of

USSR
MIT -Xu,..A. Academician of the Ukrainian Academy of Sciences; and
VA, 0. B., (Institute of Mathematics, Ukrainiarr. Academy of Sciences)
"Stability of Solutions of Nonlinear Dif ferentlaL Equations in Banach
Space"
Kiev, Dopovidi Akademii Nauk Ukrainskoi,RSR.- SL-riya A Fizyko-Tekhnichni
ta Matematychni Nauky, May 1971, pp 409-413,
Abstract: The method of integral manifolds is applied to a study of the
stability of solutions of nonlinear diftereatial equations in an infinite--
dimensional Banach space for critical cases~. Tha author proves the follow-
ing theorem, by means of which it is pdssih1-,-_ tn: a_tU4 the stability of
solutions of the equation
dx Ax + X(t, x,. c-)::
Tt
sthere A is a linear bounded operator; X(tv x1p c) is a function of the real
variable t, x, the values of which belong to. the space,4 ; t: is a small
IM ameter.
6

USSR
MITROPOL'SKIY, Yu. A., and LYKOVA, 0. B., Dopovidi Akademil Nauk Ukrains'-
--R9R---SVrI Fizyka-Tekhaichni ta Matematychni. Nauk)r,- May 1971,
pp 409-413
the equality 0, s 0 of equations (2) is completely determined by
the stability of the position of the equality 0 of equation (3).
The critical part of the spectrum for the operator A 6f equation (1) leads
to alstudy of the stability of solutions of the equation wi:th respect to
the critical variable, whose degree is less than the degree of the original
equation and in a number of cases can be finite.
There are five bibliographic referencesi

USSR UDC: 517.949.2
YTIP R 0
and M"IEMMOVS"
K YA, N. A
"Periodic Solutions of Discrete Differences in Second-Order
Equations"
Kiev, Ifl-crainskiy 'Katematichesk~y.ihurnal, Vol 24, '..'Irb 4, 1972,
pp 537-541
Abstract: For the first time, to the authors' knowrledge, this
paper presents an algorithm for finding the periodic solution
Uo a second-order linear difference equation and a proof for
a theorem stating the existence of such a solution. The dif-
ference equation considered is of the form t~xn "~,: fn(xnsAxzi)y
ithere fn(Xn,&Xn) is a function periodic in ri with a period of
N' and is def ined for _004n