SCIENTIFIC ABSTRACT LUCHITSKIY, V.I. - LUCHKO, R.G.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001030710018-0
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: April 3, 2001
• Sequence Number: 18
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

LUCIIITSKIY -Y. I.-
U /Ceo1qw
Granite
"Rapakivi Granite and Alkali Rocks of the Ukraine,"
V. 1. Luchitakiy, Aot Mom, Azad Soi USSR, 3 PP
PA 62106
"Dok-Akad Nauk SSM, Nova Ser" Vol UP No 2
Recently there have been discovered traces of -11-11
rock In plutonio rapakivi, and rapakivi granites of
the Ukraine. Describes.location of Ftlk-li rocks that
are genetically bmded with rapakivi. Submitted)
14 Feb 1948.

1. LTjcfrlTSKTY. V. I., BABIRM, A. Ye
2. ussR (6oo)
4. Hakov, Konstantin Iv2novich, 1910 - 1948
7. Konstantin Ivanovich 14akov (obituary). Trudy Lab. gi-drogeol. probl. 6, 1949.
9. Monthly List of Russian Accessions Library of Gongress, March 1953. Unclassified.

As"Hation and hybdJUMM U11 the tstritory a the
Ukrainian clyswlldf nis"ll, V~ 1~ 14466U. 1. fWay
lost. Cmd. Aduk, AW, Xak NIKI'k. No, 107,
Sm No. 31, 3-13(lP.M.).-M th, vimiik- W(rinfimi a4 thl*
mal"if am dicemible at lca-t 4 4far". *nww staireq awl
their Petrogral-hical .,,,I ... incraWgicul ChArarferktics -sire
di-rimed. M. I lowh

ALADYSHKIN, A.S.; VASILIKOVSKIY, N.P.; VINKMAN, M.K.; GINTSINGM, A.B.;
GURARI, F.G.; KARPINSKIY, R.B.; KRASIL'NIKOV, B.N.; YMASNOV,
V.I.; KRIVENKO, A.P.; LUCHITSKIY,.I.V.; PAN, F.Ya.; PETROV,
P.A.; POSPELOV, G.L.; SENNIKOVY V.M.; CHAIRKIN, V.M.;
SHCHEGLOV, A.P.
In memory of Andrei Aleksandrovich Predtechenakii, 1909-
1964. Geol. i geofiz. no.4:lcY7-199 165. (MIRA 18:8)

s/log/60/005/04/005/028
E140/E435
AUTHOR: Luchiva, A.A.
I
TITLE: =... __Mwe_`a~zalysis of a Second-Order Nonlinear
Qua,
Differential Equation f.)f a Stiff oscillating System

PERIODICALs Radiotekhnika i elekt ionika, 1960, Vol 59 Nr 40
PP 562-567 (USSR) I
ABSTRACT: This is a continuation of the authorts work (Ref 1).
The second-order nonlinear equation of an oscillatory
system is studied for the case of strong nonlinearity
with arbitrary choice of the operating point. Necessary
and sufficient conditions are found for the character of
the non-linearity for stiff oscillations to. appear.
X.F.Teodorchik advised in the work. There are 9 figu--es
and 6 references, 5 of which are Soviet and 1 a Russian
translation from English.
ASSOCIATION :Fizicheskly fak-ulltet Moskovskogo gosudarstvennogo
universiteta im. M.V.Lomonosova Kafedra teoril kolebanly
(Physics Department Moscow University, imeni M.V.Lomonosovs
Chair on the Theory'or Oscillations)
SUBMITTED: May 14, 1959
Card 1/1

AUTHOR: Luchka, A-Yu. SOV/20-122-2-4/42
TTTtE*. Sufficient Condition for the Convergence of the Method of Avei. ging
Functional Corrections (Dostatochnoye usloviye skhodimosti
metoda oaredneniya funktsionallnykh popravok)
PERIODICALs Doklady Akademii nauk SO'SR,1958,Vol 122,Nr 2,pp 179-182 (US!3R)
ABSTRACT. Let
b
(1) Y(X) W + K (x, y d 0 < A oo
a
be given, where 'f(X) , K(X, ~)"= L2(a9b) and are real. For a
certain A -value the solution of (1) is assumed to be unique.
According to Sokolov [Ref 1-43 thr method of averaging functional
corrections consists in the following:
b b
y (z)- -P(x)+ K (x, ~) d 75 (x)dx , h = b-,a
1 h ~ Yj
a
is to be taken as first approximation, from it
Card 1/ 3

Sufficient Condition for the Convergence of the SOV/20-122-2-4/42
Method of AveraginE Funattonal Corrections
b b
1 f(x:)dx , D(X) = h K(x,~)d-~ dx
D
In the n-th approximation y (X)=,f(x)+A )d~
n (yn-1 71
b
let be c~-' ~ ~ (x)dx (x)=y.(x)-yn_,(x) (n
n h n n n
From this 9 (z) etc.
For the convergence of the method the author gives the condition:
2
A2 (132 WA 2)~ 1 + ~M2 h K21 1/2 < I
wher% b 2
3 ' = ~ ~ K (x,S)dS dx 2 1 K(x,~)dg~ dx
Card 2/ 3 h

Sufficient Condition for the Convergence of the SOV/20-122-2-4/42
Method of Averagirg Functional Corrections
The condition is weaker than that one originally given by
Sokolov [Ref 2] .
There are 4 Soviet references.
ASSOCIATION: Institut matematiki Akademii nauk USSR (Institute for Mathema-
tics of the Academy of Sciences of the Ukrain.SSR)
PRESENTED: May 13, 1958, by N.N. Bogolyubov, Academician
SUBMITTED: May 59 1958
Card 313

LjCHKA, A. Yu.
Cand Phys-Math Sci (diss) "Theory and applications of the
method of veraging functional corrections." Kiev, 1961.
10 pp; (Joint Academic Council of Mathematics, Physics, and
Metallophysics Academy of Sciences Ukrainian SSR); 1?0 copies;
price not given; bibliography on pp 9-10; (KL, ?-61 sup, 219)

PITTHOR: Luchka, A.Yu.
27328
S/021/61/000/002/UO2/013
D210/D303
TITLE-: Approximate solution for infinite systems of algebrai-
cal equations according to Yu.D. Sokolov's niethod
n
PERIODICAL: Akademiya nauk Ukrayinslkoyi RSR. Dopovidi, no. 2,,
ig6it 146 - 149
TEXT: Yu.D. Sokolov (Ref. 5; 1: DAN URSR, 107, 1955; Ref. 2: UMZh,
109 193P 1958; Ref. 5: UM"h, p. 419) developed a metliod of al)l.)ro-
ximate solution of differential, integral and integro-differc-ntial
equations. B.A. Chetnyshenko (Ref. b: Dissertatsiya na soiskaniye
?jchenoy st e i kandidata fiz.-mat. nauk(Disgertation for Candida-
te's Degre , 1955) generalized Sokolov's result. The author__app-
lies the method to infinite systems of algebraical equations
Xt bt + X Ealix, (I = 1, 2,.
Card 1/5

27328
S/021/61/000/002/002/013
Approximate solution for ... D210/D303
It is supposed that '-,is a regular value and
Ji (2)
atill CP < 00
b, IP = CP1 < co; 2 p q
If the conditions (2) are
tion. The method consists
the system
k
xjj b, + V.
fulfilled the system has a unique solu-
in finding the first approximation from
CO
211XII +Y, allxol y (3)
I-k+1
where x 0 x is an arbitrary element of the
Oll x021 xOi
space 1. .I. - . .h - - .A MI, W
b, ax._., + a V bi +
D, 0.) (13)
CArd 2/5

Approximate solution for ...
27328
S/021/61/000/002/002/0-13
D210/D303
A! k
+ 2 a., M1106) a,,X.-, (nP in 13)
Dk
is then obtained. If for some k the condition
P
k M1, (k) Q q P . (14)
L* - + XY~ a <
D, W liami
is fulfilled the sequence (13) coincides with the solution of (1)
according to the 1P norm [Abstractor's note: Not defined]. It can
be proved that if (2) is fulfilled, L k ---~ 0 if k ---,k oo . Therefore
one can always choose k so that Lk-< 1. For estimation of the er-
ror one obtains
Card 3/5

27328
S/021/61/000/002/002/013
Approximate solution for ... D210/D303
L
X" - XI