SCIENTIFIC ABSTRACT ILIN, A.I. - ILIN, A.V.
Document Type:
Collection:
Document Number (FOIA) /ESDN (CREST):
CIA-RDP86-00513R000518430003-7
Release Decision:
RIF
Original Classification:
S
Document Page Count:
100
Document Creation Date:
November 2, 2016
Document Release Date:
April 3, 2001
Sequence Number:
3
Case Number:
Publication Date:
December 31, 1967
Content Type:
SCIENTIFIC ABSTRACT
File:
Attachment | Size |
---|---|
CIA-RDP86-00513R000518430003-7.pdf | 3.3 MB |
Body:
W-R5
N I,,"-
- . T-,et4 . . . . . . . . . . . . . . . . . .-
IL'IN A K kand, tekhns nauk; PODSUCHNTY'; A.M.., kand. tekhn. nauk, doteent
Design of injector-type steam coolero. Izv, vue. ucheb, zave; energ,
7 no.9t87-90 8 164. (MIRA 1711l)
1. Dallnevostochnyy politakhnicheskiy institut imeni V.V. Kuybysheva.
Predstavlena kafedroy sudovykh paravykh dvigateley i ustanavok.
USSR/Forestry - BIoloGy and Typoloey of the Forest.
Abe Jour Hof tiali no 9~ 1958.. 39W
Author ftbteov'
Inst v Vor6nozb".Silvimatuml-Institutot
Title ContribittOW-tothe Pioblc= of- the'. Influence 'of Preiciibi;;~.
tati'o-~n'hh4~"~Air~TOM~p'dtdttito on'the Grovth of the Pind-Troe.
Oric Pub NaUchnV'_ tap 4~'-VbrdMthsk,`: losotoldizii in-ta, 19561 :15i_5T__~
Abstract It was established by studios durina the yew 1952 in the
pine-troo forest of the loft-ehore forestry administration
of the Ttaining-Experinental leekhot of the All-Union
Silvicultural Institute (Voronezh) that the influence of
the air-tet%wature on the pine-tree MvM depends al-
met exclusively on conditions of wisture security.
:4 Tho increase in heidftt of tho pine-tree In the first
Card 1/2,
Bur,l oat. PrirM*,49 iso, 12ill? D '6o,
le Voroussbakir losotekhatabsehy justitut,
(Oak)
(KIU 13,12)
ILIINO A,M,
Effiot of the.harbioide 2,4-D on soil micro-orgmiew, Mikrobiologils
30 no.W050-1051 N-D 1610- (HIA 143,12)
l..Voroneshakiy lasotakhnicholiki7 institut.
(2.94"D) (SOIL MlrRo-oaamsms)
51 RUN
Vkt
IL'IN? A.m.
Use of diamond toole. Ayt.prom. 29 no.12:30-31 D '163.
(KRA 17:4)
1. Moskoy5kiy sytozekyod imeni. Likhacheya.
ILIIN A.M.; KAMENKOVICH, V.M.
Effect of friction on ocean currents. Dokl. AN SSSR 150 no.6s
1274-3.277 Je 163s- (KIRA 16318)
1. Institut okeanologii AN SSSR. Fredstavlmo akademikom
.L#I,Sedovym.
(ocean currents)
NITUAM, 0. 1* 1 11611 MEA109 a.P.; =KIM, T.S.0 insh., red.;
WA#" %~.Ordd*
Eunaercrouna,opsratlons st.the Tysokeya Gore Iron Kinel (wt
vedenlia p6asemykh robot no Tysokogorskom*sholoxnou'radnike-
fterdlovsk, Tftntr,blurc. tokbn. Inform tall, 1959. 30 P.
(KIRA 14A)
-I. Russia (1917- R.S.F.S.R.) Pierdlovskly okonotdchaskiy
administrativW rayon* - Sovet narodnogo khosyaystva.
(Ural Mountains-Iron adnes and siang)
it t4
l
HIP
4A
Rai
.at
'Sig,
u9 a
g t.
VIA OV
In as
12 lax
AN.-I
64 d
am P:Glj
SOY/127-59-1-13/26
AUTHORSs Nikolayev, S. I., Kondratlyev, L. I., and Illin. A. M
Mining~Engineer6 and Skakun, G. P., Mining Technician
TITLEt High-Power Mass Blasting in VysokogorakiyKim (Massovyy
vzryv bollehoy moshchnosti na Vysokogorskom, rudnike)
PERIODICALi Gornyy zhurnal 1959# Nr 10 PP 46-50 (USSR)
ABSTRACTs This is description of high power mass blasting operations in
the Vysokogorskiy Mineo located on the eastern slope of the
Middle'Ural. The yearly production of this mine is 3,000000
tons of 40% iron ore. A forced level caving system is applied
in the mine. The mass blasting operation was carried out in
the south butt-end of block # 15 at levels of 90 - 150 m;
.179 tons of ammonite were used. There are 3 diagrams, 2 tables
and I Soviet reference.
ASSOCIATIONs Gornoye u ravleniye Nizhne-Tagillskogo metallurgicheskogo Kom-
binata. Me Mining Management of the Nizbniy-Tagill Metallur-
gical Combine).
Card 1/1
140SHINSKITO L.G.j insh.j MIKOIAM, S.I., inzh.; SHCHELKALOV, V.A.,
inzb.
Un&ripround oporations minea of the Nizhniy Tagil Metallurgical
Com~ine. ?iul, TSIICHMio.1:9-18 t6l. (KMA 14:9)
(NizImiy Tagil region-41ining enginestir4g)
NIKOLAYEV, 3,1*; WINg A*M,; ZUBRILOV, L.Ye.; SHULIMINy B.M.9 mladehly
nauchnyy latruftk-
Possibilities for increasing labor productivity in the "Magneti.
tovaya" Mine* -Gor. zhuro noolltlO-13 N 161. (MIM i5:2)
1. Direktor Vysokogo'rakogo rudoupravleniya (for Nikolayev).
2. Mavro-I inth..Vysokogorskogo rudoupravleniya (for Illin).
3. Zaveduyuahcb.iy laboratoriyey razrabotki rudnykh mestorozhdeniy
Gorno-geologicheakogo inatituta Urallskogo filiala AN SSSR (for
Zubrilov).
(Sverdlovsk Province--Iron mines and mining)
Growth in labor productivity at the Vyookaya Mountain M1=* itcr* sbur
404.40-94 163* (MVk 16S,4)
(Overdlovsk Province.-Iron mines and mining-labor productivity)
NIKOIAMO S.I4-Aj% A.Hj_
~46~010pwnt of W n4 system in mines of the Vysokaya Wuntain Mining
Adidnistrationoi Gar. shur n0-4:12--17 Ap 163. (MIRA 16s4)
,(Sverdlovsk Province--Iron mines and yLinin )
-11~A~Ag 131LONO 0,P,; SH*IMIN, B.M.
keaking a large block with large-scale blasting* Gors Shure U04W-20,
Ap 163. (MIR 36:4)
(Sverdlovsk Province-Masting)
.n1IN y A-M-p SKMMO G.P.I. KAPJW, V.V.
Work practices in open pits of the Vyaokaya *untain Mining Admin4gtrations
Goro shur,mo,420-23 Ap 063, OUM 16 SO
(Sver,cUovak Province-Strip millin )
KOVAL' V.T.o inah.t. ILIT -#A&&$-Awh*
Improving'ways of u'
praising using hoisting caps (from uMine mg
Quarry Engineeringpm jpril :L9591 "The Mining Journal.# nool3,, 1962).
Shakhte stroie 7 not4128-29 Ap, 163~ (KMA 160)
NIKOLAYEV, S.I.; WIN, A.M.; SKAKUN. G.P.; PLEKHANOV, G.Vq- SHULIMIN', B.M.
Large-scale blasting of blocks at the "magnetitovaia" Mine, Trudy
Instegoradela MAN SSSR no*7$87-94 163. (MM 1793)
ILIIN, A.M.
Decomposition of the herbicides of the 2j4,-D type in the
noile AgrobiologUauav4s620-621 JI-Ag 165,
(MIRA 181n)
1. Varonezhakiy lenotekbnicbeakiy inatitut.
-0 -2
(6)
P,
,holde (where P (is are permutations of caoh other for various j lt2t**#,N and
.all real a then
1
Iapproximates (1), Mt 811d i0-UdcOnditionally atable for u0 C W-r (r
'Orig. art. hast 13 formulas. 2
ASSOCIATION: Urallskiy gosudaratvenvqy univerriltet Im. A. M. GorIkogo -01;~%~,-�tat
Univeraity)
,UBMITTF,Di 13Feb65
ENCLs 00 So CODE I I%t
no FUFY SOV 1 009 OTHERi 002
Card 2/2
, A.M.1 KMEMKOVICH, V.M.
ThsOrY Of thO Olllfstr4same Okeanologiia 4 nov5s909 164
(MIRA 18:1)
b
IL'INq A. M.-Oft Cand Phys-gath Soi --(diss) "Degenerite
elliptic and parabolic equations." Mos, 1957o 7 pp 22 cm
j4abor-
(Moscow Order of Lenin andAeff*Banner State Univ im M.V.
Lomonosov, Faculty of Mechanics and Mathematics)
(KLI 21-57, 98)
-10-
16(1)
AUTHORt Illin, A,X, SOV/155-58-2-10/47
TITLEs Degenerating Elliptic and ParaVolic Equations (Vyroshdayushohiyosya
ellipticheskiye i paralbolicheakiye uravnenlya)
PERIODICALs Nauohnyyo doklady vyxshoy shkoly. Fisiko-satematicheakiya naukil
1958t Nr 29 pp 48-54 0031)
ABSTRAM The author oonkiders:the degenerating elliptic equation
(I) f -;~ 2u+z a 22u + a 1) u + 0u a P.
%2 '92 ax =0 Zx
0 1, j L
Then f(x0OX104*01Za 0 in-the region of definition D and
f(z09xitt..12n) - 0 in 1)0CF. The matrix Ilaij in positively
definiteand o(ZtX,, ... OX.)!60- Under certain assumptions on the
differentiability of the coefficients the existence of a smooth
solution of the Diriahlot problem is proved for M.
A further theorem guarantees the existence of a smooth solution of
the first boundary value proVism.f9r the parabolic equation
Card 1/2
Degenerating Elliptic and Poratoiia lquations SOV/155-58-2-10/47
u Vu 2u n u
(2) + a 1h - + Ou + 79
'0 x2 ij %x L '42
to ifj-1
The proofs/basojon the consiteratica of non-degenerated elliptic
quationo arising out of (1) V replacing f by f+f,. The solution
N
(1) is obtained by t -+ 0.
The author thanks 04*01synik for fdaulattag tbs%Vv6b1m md for his
advict# There are 12 referonoseg 10 of which are Soviet, I Prench, and
I Italian.
ASSOCIATIONsMoskovskiy gosudarstyemW universitat tateni, N.V.Losononova
(Moscow state University'imeni X.T'Lononomov)
SUBMITTEDs March 4, 1958
Card 2/2
-IAUTHORt Iltin, A.M. and Oleynik, O.A. Scy/20-120-1-5/6
TITLE't On the.Behavior of the Solutions of Cauchy's Problem for Some
Clunei-Linear Equations for Unlimited Increase of the Time (0 PC-
vedenii resheniy zadachi Koshi dlya nekotorykh kvazilineynykh
uravneniy pri neogr hennom vozrastanii vremeni)
PERIODICALt Doklady Akademii nauy, 1958, Vol 120j'Nr 1, pp 25-28 (USSR)
ABSTRAM The authors investigate the solutions of Cauchy's problem for the
equations
au D)P(U) 0 0
au W ILU (2) it -?- -
at X 9x2 X
under the initial conditions
Ult-ID - UID(X) -a)< x < +oo for v~po
I. The case (1),(3). Let u 0(x) be bounded and measurable; TW
is assumed to have continuous derivatives of fourth order,
lim u (X) - u lim U (x) - u . Existence mad
0 , 0 1 0 +
X4+00
uniqueness of the solutions were proved by Oleynik in [Ref 3]
Theorem: Let be u-> u + and assume that the integrals
0 +0D
Card 1/3 (uo(x)-u_)dx (uo(x)-u+)dx
'On the Behavior of the Solutions of Cauchy's Problem for COVAO-120-1-5163
Some quasi-Linoar Equations for Unlimited Increase of the Time
exietq their sam being equal to A. The equation (1) possesses
only one solution V, (x-Kt) which only depends on x-Xt, where
x Y(U +)-.f(U-) and satisfies the condition
U+-U-
+0D
u
(x)-u
_)dx + ~ (U' (x)-u+)dx - A
tends uniformly to zero -xith
For t--).cD Is x-Kt)-Ut(t,x)I
respect to x. If for certain constants oC i'>,O and M 1>0 the
function u 0 (x) satisfies the additional conditions
x
(u W -u-) dx < U e T(uo (x) -u+) dx < M, e- C~
-00 1 x -at
then it holds u e for all x and t,
1',(X-Kt)-ug(t,xNl < 112
where 870 and M 0 are certain constants.
2;;P-
Theorems Lot be U-M a. lu,(t,x)-a tends uniformly in x
Card 2/3
On the'Behavior of the Solutions of Cauchy's Problem for SOV/20-120-1-5/63
Some quasi-Linear Equations for Unlimited Increace of the Time
x
to zero for t-~oD, If juo(x)-aj,< Xle , then it holds
jus(tox)-al < ut'/'Iln t1a for all x and t~,O.
Theorems Lot be u, +> u . Let the function H(s) be defined byt
(H(a)) for (U-).oo. There are 5 references, 4 of which are Soviet, and
1 American.
PREESEENTEDs January 10, 1958, by I.O.Petrovskiy, Academician
SUBMITTEN January 100 1958
1. Integral,e4uations 2. Linear equations 3. Functions 4. Time
Card 3/3 --Applications
A.
flivisl a
32446
1610 0 S/044J61/000/010/012/051
C11110222
AUTHORSs CJ~t ~A.Mt~ and. Oleyniko O~A.
TITLE: on the asymptotic behavior of the solution of the Cauchy
problem for t--"Pw for some quasilinear equations
PERIODICALs Referativnyy zhurnal. Mateixatika, no. 10, 1961, 33-34,
abstract 10 B 153. ("Tr. Vass. soveshchaniya po
differentsiallne urayneniyam., 1958"- Yerevan AN Arm SSR,
1960, 98-101~
TEXT: The authors consider the quasiliuear equations
DU (U) aL
9 t+ x '3 X2 0
u %P (u) 0
t + 1- (2)
x
and the initial conditions
ult-0 U0(X) QD 0 and 9 > 0 it holds additionally
-Lluo(x) - U-3 d~ ~~ vie
lu OM - %] dol< M
then it holds
1Z (x - kt) -,u,
Us a
for &11 x and tv where B> 0 x2> 0 const.
Card 3/4
3240
S/044/61/000/010/012/051
On the asymptotic behavior of the too C111/C222
Let
u- for tf I (u-)
RV
f U+ for Y, (u+)
Let u, (t,x) be the solution of the problem (1), (3), (4) u_< u+
V~
%f"(u)> 0 . Then for t4 co p u,, (tpx) tends uniformly in x and C tends to
H(x/t). And finally s If ue (t,x) Is the solution of (1), (3), u(xot) is
the solution of (2), (3)9 if uo satisfies the conditions (4) and if
u- to U+a A , ,?1'(u)> 0 then it holds uniformly in x u,, (tpx)-4 a
u(t,x)-* a for t-*w . Proofs are missing.
[Abstracter,o note s Complete translation.]
Card 4/4
ILOIN, A-H- (Moskva)
I
Depnerstlng elliptlo and1parabollo equAtions., Kate. sbore 30
noo4t443-498 Ap 160. (MIRA 13:8)
(Ufferential equations, Partial)
0
O.A. (Kooky&)
ASMtotic behavior of solutions of the Caucby problem for
some quasilinear equations with large time values. Hat. abor.
51 uo.2:i9i-2i6 je 16o. MM 130)
(Differential equations, Partial)
37602
S/04 V621000100410 11099
4
0111.,,0333
AUTHORs
TITLEs -On the b6haviioi'
of the solutions of a parabolic-equat on
'
,
or_
of second Ord for-infinitely Increasing time
PERIODICALs:, Be' r
f e 4tilrnyy 'zl~urnil tMatematik--j not 49 1962, -49P
a~stract,-4BZ274'.,("Funktsionalit.. analiz i yego primeneniya 11
Sakuj-AN Azerb,SSRp. 89)
1961,
TEXTs The,iiltho.r, co-Iniiders- the Cauchy problem for the.equation .7
a
at
2
i j u b (XPt) + CU;.
(k
x 3x V
~a
U(X,O) (X)
Sufficient conditions are given that from T (x) -4 0 it followss
relative to x. Examples are given from which it
u(x,t)--4 0 uniformly
~.ppears that '
the made assumptions are/essential.
[Abstraoter's notes Complete translation.
Card 1/1
23576
3/042/61/016/002/002/005
ff'. JAQ 0 111/ C 222
AMORs 1111no A. M.
TITLEs On tho'behavior of'the solution-of the Cauchy problem
for a parabolic equation for an unboundodly Increasine
time
PERIODICALs Uspekhi matezat ichaskikh nauk, Y. 16, no, 2, 1961#
1415-121
TRXTs The author gives sufficient conditions forLthe coefficients
of.the equation
n
ij~jaij(xpt) + bi(x,t) JuB + c(x,t)u,
at 4
X - (x1PX 29s0" xL)
under which-every solution of a Cauchy problem for (1), f*r-which
the initial conditions- vanish in infinity, for t -4 w tends to zero
uniformly with respect toxe
Lot G be an 6+1)-dimensioaal region of the halfspace t tj 1
Card 1/6
23576
S/042/6i/oi6/002/002/005
On-tho'behavior of the ... C Ill/ 11 222
let the intersection of-c- "and he plane t -,cotst (t > be a
00 t1
bounded n-dimensional-r*gion.,with-the continuous boundary-W W.. The
set of all IF (t) for- t ~, t is the lateral face 3 of 000a Let- be
thelateral face saC-the bAte:4f'OT.-.L*t.th* cooffici*nts of (1) be
bounded in the-fluite.
Lemm Is Lot the function U(x,t) be continuous in G . lot it have
continuous derivatives appearing in (1). everywhere In 0 (with a
possible exception' of a finite number of continuously Ufferentiable
surfaces Rk) and lot it satisfy
n n
U an
Lu ajj(Xpt) + b,(,,,t) 9u + C(Z,t)u- 40 (2)
Q x 61xi Tt
wherePaijIl Is a positive definite matrix and o(x,t)ISO-. on the Rk
lot exist one-sided derivatives of the normals of u(x1t) where
Card 2/6
23576
8/042/61/016/002/002/005
On-the behavior-of the,... C III/ C 222
RU u
5 -?A (3)
+0 TXL70
is satisfiect, where don otes the one-sided derivative along the
normal-n'6f on this-mide. of-the+aurface to-whiob-the normal showal
"k
9u - is the"other one-sided derivative on the same normal.
Vn-0
Thens If' u(xq t) )/r 0 on then- u(x, t) '~, 0 in _0
T
Lemim Zz Let u(xt) be bounded and continuous for t'-> 1
(Ju(x,t)l e. N ). Everywhere with -the possible exception*of a finite
number of conlinuously differentiable surf9cis R let u(x,t) be two
times continuously differentiable and lot it satfefy (2) where+11 'i,11
in a positlTe, def Inite matr1xv c(xq t) 4 0, thb, SLij (t) "a bl(x, t)
are bounded for I t i!~:T, T > I arbitrary.- On the Rk lot hold (3) and
u(z, 1) *>
0. Then u(x, t) -!~, 0.
Card 3/6
23576
8/042/61/016/002/002/005
On the behavior of-the ... C-111/ C 222
i
Lena&.3i In G lot u (x,t) satisfy the conditions (2), (3), and lot
Ul(x,,t)l S.*, Oct Lot elist a continuous positive Y(X,t) bounded- in Goo
so that Lv 4_' - In,(;, j y > 01 y - const everywhere w:tth a -possible
t 00
exception of'the continuously differentiable surfaces on which-WAS
satisfieds Then
lis
t _+00 Mdrr-w- (X, t) ~> 0
Ths, solution of the Cauchy-problem for'(1) in a bounded-u(x,t) continuous
for t 3,1 which has continuous second derivatives for t *> 1, which
satisfies (i) and for which u(x,l) - ~(x).
Theorems Lot u(x,t) be a solution of'the Cauchy problem for (1) and
u(x,l) _-~ 0 for r -.* co X-2.
(r X1 + X2 + ..* + n
Let (1) be uniformly #s'rabolic for all x and t >31-1 p i. e.
Card 4/6
3/0'4fj~1/016/002/002/005
On the-behavior of the ... C lil/ C 222
n n
X INC 2 12 (4)
4. 1 1 -
Jul i'j-l Jul.
Let the b,(rlt) be bounded in the strip 1 -4 t 46 T for every-T > t,
c(zjt)-*~ 0, and for all t~~ I andr>..r 0 lot
bi(X, t)X., > Aii(X't)
Besides let
b(z, 1 for r ro
The,*~ X~ r 0.4f and,N denote positive constants. Under the,givez
assumptions It holds uniformly with respect to ziu(X,t)-4 0
t - ), '00
Three examples are given, e.g. the solution of
Card 5/6
S/0421~1/016/002/002/005
On the behavior of'the C ill/ C 222
2
2
T I
* 2
2 2
1-x
r- t ~~ c* tends to 4 since the equation-does not-satisfy the
2414ond inequality (4).
There are, 2 Soviet-bloc and 1 non-Sovist-bloc references.
311MUTTEDt 'July 30, 1959
C4&rd 6/6
5/042/62/017/003/001/002
B125/BIO4
AUTHORS: Kalashnikovl A~'S,j Oleynikj 0.~A.
TITLE: Linear second-order parabolic equations
PERIODICAL: Uspekhi matematicheskikh nauk# Y. 17, no- 30000 1962t
3-146
TEXT: This is a review of original papers on the theory of linear
second-order parabolic equations published between 1906 and 1962. The
classical land the generalized solutions of the boundary value problem
and of the Cauchy problem ars_~considered in particular. The most
important English-language reference is: Js Nashy Continuity of solu-
tions of parabolic and el-liptio equationsp Amer. Journo Math. 80,
no. 4 (1958)t 931-954-
SUBUITTED:' December 19, 1*961
Card 1/1
L0178
5/020/62/145/005/003/020
B112/BI04
AUTHORS: Il --a As M*j and Khaelminakiyf R, Z.
TITLE; Ergodid" property of Inhomogeneous diffusion processes
PERIODICAL: Akademiya nauk.SSSR. Doklady, V-145P no- 59 19629 986-988*
'N
(ttx)o2/ax ax bi(tjx)0/0X
TAXT. The operator L(t,:) a,
iis considered under the as 'mption that the following conditions are
ou
2
~fulfilled; &jj(tox) "t M(r + I)f
litj, i jX)j
itjwl jaij(t
.2 .11c12''.
Jbi(t,x)l 411(r + 1)t'r The operator L(tgx) is connected.with a
Markovian process X(tl&)) whose density p(a,x9t,y) of the trans;tion
probability can be regarded as Green's function of the equations
au/ds + L(s,x)u 0, aujOt -- L*(t,y)u. It is demonstrated that the limit
lim p(stx1toy) p(tvy).>0 exists if the coefficients of L satisfy the
Card 1/2
---~ - ---------------------
5/02 62/145/005/003/020
Ergodic property of inhomogeneous BI 1 2YBI 04
CoAdition [aii(tqx) + bj(tjx)x 1 4 - 640 for r>r id The solution
u(t,y) of Cauchy's problem Ou/A a 0(tty)u, U(sty) . U 0(y) (t >S) is
shown to have'the following properties if
p(sIXOs+I97y)4 M: U(tly) p t9y)j uo(y)dy tends to zero uniformly in
'IN
each compact subspaoe X CIEff for t --:1~103 if f JU! (y)Idy converges.
0
U0(y)dy - implies u(t co for.t ---P
3/020/62/147/004/003/027
B112/B186
AUTHORs Illin, A, Mo
TITLEi On the fundamePtal solution to a parabolic equation
PERIODICAW Akadem4ya nauk 853%. Dokladyj v. 147t no. 4, 1962, 768-771
TEXTj It has been proved (S. D. Eydellmant'Nateme aborn.t 53(95), it 73
(1961)) that a fundamental solution G(tt ?,t zo to the parabolic equation'
ou/12 t a (tt X)02ulgx ex ,X. (x X29 09*9 xn)C-E (1) Will
i,j-1 ij n
exist, such that the solution ujt, x) satisfying the initial condition
x) - Y(x) (2) may be represented ih the form
U~ t, X) - G(t, TIt X. (3) if the doefficients are bounded
n
and uniformly continuous in tj and if a H81der condition with respect to
x is fulfilled, In the present paperl thelatter condition
V x2l *0*1 Xn
is shown to be essential.
Card 1/2
S/02o/62/147/004/003/027
On the fundamental ...
the fundament4
B112/B186
'- rA
OCI JONI 1404
33 AT
ASSOCIATIONj Moskovskiy goeudaretvennyy universitet im. U. V. Lomonosova
(Moscow State Univerei imeni M. V. Lomonosov)
LV-.-
p SF
RE NTEtI Jur
PRESENTEDs June 18, 19629 by Is Go Petrovskiyq Academician
SU )AITTEDI )ja3
SUBMITTEDs MaY 15# 1962
Card 2/2
ILIIN, k.M.; KHAS'NINSKIYt R,Z, (Moskva)
IaMtotio behavior of solutions to parabolic equations and the
eripla- a pr-werty of inhomogeneous diffusion processes. Mat. abor.
60 #6-392 Mr 1.63, (KMA 16:3)
(Differential equations) (Markov processes)
i
"On the boundary layer structure In the ocean current problemm
report presented at the 2nd All-Union Congress on Theoretical
and Applied Mechanics) Moscowt 29 Jan 5 Feb 64.
ILOIN, A.M.i KMENKOVICEs V.M.
Structure of,boundary layers in the two-dimensional theory of
ocean currents. Okenologiia 4 no-59756-769 16/+ (MLRA 18 i1)
1, Sverdlovskoya otdoloniye Matematicheekogo instituta imeni
V.A. Stsklova AN SWR i Institut okesnologii AN SSSR6
PO-4
Ewr-OV
WIN, A.M. (S-ierdlovsk); MASIMINSHY, Fl.Z. (114ascole)
Brownian motlan equations. Teor. veroiat. i ce prim. 9 nc.3;
.466-491 164. (WILRA 17:10)
WIN, A.M..
Eigenfunctions of awelliptic operator in certain Infinite domains.
-Dokl. AN SSSR 161 no.4t757-759 Ap 165. (MIRA 18s,5)
1. Sv~rdlov'skoys'otdaleniya Matemsticheskoga instituta im. V.A.
Steklova AN SSSR. Submitted October 29, 1964.
I_WI,1-6q EK (d )/T I.7P(c)
j ACC NR, AP6011993
AUTHOR: 111 in A. M.
ORG: Sve____ yq___Branch. Hathematics
-(Sve-r ovs]~65~6-61TFFeffiye temat.1che
Ma
Elge""~c ~,ons
SOURCE C01)"'; Uli/002,)/611/161/1)()4/(Y!57/()75?
Ltut im. V. A,-Steklo-v N_ S _~Sve sk-
:).Instituta 91
of an elliptic operator in certain unbowided regions
TITTZ:
SOURCE: AN SSSH. Dokladyp v. 161, no. 4, 1965, 757-759
TOPIC TAGS: eigenvalue, boundarly,value problem, mathemati,c matrix
ABSTRACT: Consideration io given to a region D of an n-dimenoional Euclidean spaca
Li which the elliptic differential operator it a I.
Zu , _L at, W Z"- +
I OXJ)
b W u is defined; X (X1 x2#. i s jxn) pthe r-itrix 11aij]) is sy=etrical and posit-
ivaly de' termined, the coefficients of the operator are real, aii %x) C.- C, (5), and
.b(~:)