SCIENTIFIC ABSTRACT LYUSHKOVSKIY, M.V. - LYUSTERNIK, L.A.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001031220014-7
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: August 31, 2001
• Sequence Number: 14
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

BESMOVIFYY, L.G., doktor istor.nauk; mUMOVSKIY, H.T.; SM. R.Sh.;
T-
LUPACH, V.S., red.; SLIPTSOVA. e.T.-.-t-ek-hinre @
(Russian military theory in the 19th and the beginning of the
20th century] Ruseksia voanno-teoratichasksia mysl' XIX i
nachala XX vakov. Hookva, Voon.izd-vo H-va obor.SSSR. 1960.
757 P. (MIRA 14:10
(Military art and science)

KOVALICMK. T.K., polkovnik;, YOSOV, F.Y., doktor istoricheskikh nauk, kapitan
I ranga, radaktor; GRM, I-e., mayor, redak-tor; VORMIYEV, P.V., kapi-
tan 3 ranga-, %MIN, N.H., podpolk ovnik; MODTIMOT, R.N., kandidat
Yeenno-morskikh nauk, kapitan 1 ranga. redaktor; IZIMIX, B.G., koutr-
admiral, redaktor; I polkoynik, kandidat istorichookikh
nauk, redaktor. AMMMifo@- i;"an I ranga, redaktor; BOLIML-
ICOT, N.Y., kapitau 2 ranga, redaktor; BYKOV, P.D., kapitan I ranga Y
obstanovka, redakter; KOVALZV, S.I., professor. redaktor.
[History of naval art] Istorita veanne-marskage iskunstya. Tel. 1.
Claval art of slaveholding and foxidAl society] Toonno-morskes
obahchestva. 1953. 273 p.
NO& 7:5
1. Ib2sela (1923- U.S.S.R.) Glava" shtab voyeano-morski1ch all
Isterichaskeys otdolexiyo.
(Naval art and science--History)

ial
,@__Cjdcal nFt ni

LYUSHIM11K & (14oskva)
1@ M@@
Data on the problem of qwe pathohistological changes in the skin
in neurodermatitia. Arkh.pat. 21 no-10:50-53 '59. OUPA 14, 8)
1. Is kafedry patologicheskoy anatomii (zav. - zasluzhennV deyatell
nauk Prof. B.N.Mogillnitalkiy [deceased), korisuiltant temy - dotsent
N.V.Ba-lan-ina) pediatricheskogo fakuilteta Il MoskMkogo meditain-
skogo instuituta imeni N.I.Pirogova.
(SKIN--DISEASIS)

ZASLAVSKIY, B. (Kharlkov); LMHNIN- N.-JKharlkov); GOTENOV,-S. (KharIkov);
PILINIKY A. (Khaekov); MISAN, L. (Kharikov); GAYDACHUK, V.,
(Kharlkov); SBDYCHAKOV V. (Kharlkov)
V P
Attention and support to volunteer design offices. Kryl.rod.
14 no.3s2-3 Mr 163. (MIRA 16:4)
(Aeronautics--Technological innovations)

LYUSHVIN, V., stmr3hly in&PL6@@ .1.
- -
Tvo bidr-s of @Ifrelhi- s,'f- -29 r--,6.-7-9 Je 165.
(MITRA 1826)

BABAD2HANUH, Pargav Artashevich LYUSIAIN, IBICriSI TINEallnovich; POPOV, K.K.,
red.; TORONIN, K.P., : "u
tekh @re
[Design and production of collectors for electric machinery]
Konstruktsiia i proizvGdstvo kollek-torov elektrichaskikh mashin.
Koskva, Gos.enarg.izd-vo, 1960. 189 p.
(MIRA 14,4)
(Electric current collectors) (Electric machinery)

KH62iN@-,' 'I.I.,-@kana..tekhn.nauk. otv.red.; LEMN, B.S., red.; LOGINOV.
Z.I.. kand.ekonom.nauk. red.; LTUSOV, A.B-, nauchnyy sotrudnik,
red.; SHCH 111, N.Y., red.; TSOV, P.V., red.; PONCKAR97A,
A. A. , te khn. re d.
(Resources of the cement industry of the U.S.S.R.; based on
data from the seminar of workers of the cement industry] Rezervy
tsementnoi promyshlonnosti SSSR; po materialam seminara rabotni-
kov taementnoi promyshlonnoati. Moskva, Gosplanizdat, 1959.
199 P. 04IRA 13:3)
1. Koscow. Gosudarstvennyy vaesoyuznyy nauchno-iseledovatel'skiy
institut teementnoy promyshlennosti. 2. Direktor Gosudaretvennogo
veaso.vuznogo nauchno-iseledo,!,atel'skogo instituta tsemantnoy
promyahlonnosti (NlIteement) (for Kholin). 3. Gosudarstvennyy vae-
soyuznyy nauchno-isaledovatellskiy iaRtitut teementnoy promyshlen-
nosti WItsement) (for Loginov, Lyusov).
(Coment industries)

LYUSOV, A.N*
Are the estimated prices for cement necessary? TSement 3G no.6z-13-14
N-D 164- (MIRA 18:1)

Ly-us Civ ) @'l . I i .
. . . - , - I I - . . I - - --:@ c a FA - , . - .- - - - - . . : I- - --
. %-: . 11 - . . . -- ,..;@ I . . -
.. . :" nc;. . _l- "'. - " .
@ r, t : r.l! i. @. '. , . . . " .-, I" i @ -

LYUSOVP A.N.
Effect on the net cost of cement of equipment and production con-
centration. Nauch.soqT#.NIITSementa no.8:33-37 160. (MIRA 14:5)
(dement industries--Costs)

LYUSOVP A. N.
Draft of a vholesale price list for cement. TSement 29 no.2:
11-12 Mr-Ap '63. (MIRA 16:4)
(cement-Prices)

; ,-- ",.1 '!
, I I
. i . . @ @. - : , . ., , . - , , - .- , . .'I @ '-, . ,- r@ 'T;@ . r, 1, .-I,1, : - . , . . . - - I I . I .

WSOIr 2 &1--
Concemming current delivery ard factory prices of cement. TnAy
VIITSement no.15:59-71 161. (MIRA 14:9)
(Cement-Prices)

LYLISOV.0 A.N.-
The necessity of changing the current prices for cement. TSement
27 no.6zl7-19 N--D 161. (MIRA 15-3)
(Cement-Prices)

LYUSCJV, A.N., kand. ekon. nallk; 7,OG-'iDZE, T. 1. , inzh.
Economic sUrnulation at cement plants. TiSement 31 no. 6:
3-1, N-D 165. ("!L-@A lll-z.:1@111

KHARITOROV, V.S., inzh.; SVIIIARSHKO, V.A., inzh.; LYUSOV, V.Y., inzh.
Noise control on diesel-electric powered refrigerator ships.
Sudostroenie 25 no.8:30-33 Ag 159. WIRA 13 -.2.)
(Refrigeration on ships) (Soundproofing)

LYUSOV, V.F., inzh.
Experimental studies of noise mufflers oA general ventilation
fans. Sudostroanie 26 no.2:29-33 (208) Fab 160. (MIRA 14:11)
(Ships-Heating and ventilation)
(Absorption of sound)

LYUBIKOVA. Ye.A.; LYUSOVA. L.N.; FIMV, F.V.;STARIKOVA, G.N.; SHUSHPANOV, A.P.
Determination of surface heat flow in Staraya Yhtsesta. Izv- Ali
SSSR. Ser. geofiz. no.12:1806-1811 D 160. (MIRA 13:12)
1. Institut fizilci Zemli AN SSSR.
(Earth tempetature)

. .; - ( @ . . I I , ., I C I I .

SOKOLIK, Anatoliy Ioniasovich, kand. tekhn. nauk; STANILOVSKIY,
Anatoliy Ivanovich, inzh.; LYUST MBERG, V.F., inzh., ved.
red.; SOROKINA, T.M., tekhn. red.
[OK-23 double-beam electronic oscillograph with mechanical
scanning]Dvukhluchevoi elektronnyi ostsillograf OK-23 s mekhani-
cheskoi razvertkoi. Moskva, Filial Vaes. in-ta nauchn. i tekhn.
informatsii, 1958. 19 p. (Peredovoi nauchno-tekhnicheskii i
proizvodstvennyi opyt. Tema 35. No. P-58-26/3) (MIRA 16-2)
(Cathode ray oscillograph)

YAKHIMOTICH, L.A.; LYUSTERNAK, I.L.
- -:;.@ '-,,@;,!, 5 @
Effect of high temperature on the nature of 'Une repro@juction o'L the
migratory locust (Locusta migratoria L.). Dokl. AN SSSR 162 no.6040&-
1411 Je 165. (MIRA 180)
1. Vsesoyuznyy, nauchno-issladovatellskiy institut zashchity rasteniv.
Submitted September 12, 1964.

LYUSTETME, L. A.
0 Nekotorykh Ekstrema-11 Nykh Zadschakb Teorii Korfcrmnykh Otobrazheniy. V Kn.
0 Csnovy Variatsionnogo Ischisleniya" T. 1, ch. 2f Dobavleriye 2. G@-i I
(1935), 367-395.
Bemerkung Zur Losurg des Dirchlet' Schen Problems. Matem. SB-, 33 (1926)
Sur Unc Classe Dleauations diff-rentielles Non-lineaires. Matem. SB., 2
1937Y 1143-1168
Pro Deyali Neliniyni Riviyann @a t9,7-stsilyRtsi@-nimi Rozv'Yaz@.aud. Yhrk.,
Zap. llatem. T-Va (-) 14 (1937 , -150
Obobshcheniyc Urevneniya Tipa Shturma-Liuvi'L--ya. DAN, 15 (1937), 235-238.
Qiielques Remarques Supplementaires Sur les equations Ncn-L,neaires di, Type de
Sturm-Licuville. Matem. SE., 4 (46), (1938), 22?-232
Ob Odnoy Drayevcy Zadache V Teorii Nelineynykh Di"-!"erentsiallrykh Uraveniy.
DAN, 33 (1941), 5-8
Probleina DiriMle. Uspehhi Matem. Maul-, 8 (1Q41), 115-124.
Ueber ei-nige Anwendurgen de- Direkten Vethoden in Vari,9ticrsr, chrunv. Mpt r. 3F.,
33 (:926), 173-202.
Sur quelaues methodes Topologiques dans La geometric differentielle. A"I
GcnjTr. clei Mat. Bclogna 4(1928@. 291-296.
Clb@r die Topologischen Eigensrhafter. Oer lurvenfairilien Auf F'achem. 1%atem.
AF., 38 (1931), 59-0/5.
Ob Us@ovnvkh Ekstremumakh Furkt.sic,nalov. Matem. SE., 41 (1934) 390-4-"l.
CYb. Cg-om Klasse Nelineynyl-h C-peratorcv V Gillbertovcm Pr --.trarstve. IAN,
Ser. liater.. (1939), 257-264.

LYUSTERNIK, L. A. Continued
Topologicheskaya Struktura @-dnogo Ftialtsionallmogo Prostramstva-kh. DAIN', 27.
(1940), 775-777.
Kolltso Peresecheniy V Odnom Funkt.9-ionalliNom Prostrnnstve. DA.',, 38 (1943).
67-70
0 Serneystvakh Dug 2 CJbshehimi Kontsami Na Sfere. DI.M, 39 (194@), 85-87.
0 Yatergoriyakh Nekcton,kh Semeystv DLg. DAI:, "0' W-13), 147-i48.
0 Chisle Resheniy Variatsionioy Zadachi. DAt, 40 (1943), 243-245.
Novoye Dokazatellstvo o Trekh Geodezichesl-ikh. 41 (,94-), 3-5.
Topologiya Funktsionallnykh Prostranstv I Va-riatsionnoye Ischisleniye V Tselom.
Trudy Matem. In-Ta IK. Steklova, 19 (1947).
0 Privedenii Vtoray Variatsii K Kanonicheskomu Vidu Treugc-l"nymi Preobra7evariyami.
M. Uchen. Zap. U,-TA, 2:2 (1934), 5-16.
Topolo@icheskiye I-le-tody V Variatsiomykh Zadachakh. M., Gos. Izd. (1930).
1-68
Ocrovy Variatsionnogo Ischisleni.a. T. I, ch. I.M.-L., Onti (1935), P. 26.
Uber die To-cloqischen Eigenschaften der Kurver-fa-milien Auf Flachen. Ma err.. SE.
3 (1931), 59-65
Lamech,,-niya K. Nekotorym Variatsionnym Zakach=. M., Uchen Zap. MN-TA, 2
(1934), 17-23
Problera Dirikhle. Uspekhi IvIatem. Nau,, P- (1)4-1), 115-125.
Yiekhanizatsiya Chislen!OFO Resheniya Fatematicheski@h Zadach Na Schetn(-Analiticheskikh

LYUSTERNIK, L. A. Continued
Mashinakh. Uspekhi Matem.. Nauk-, 1:5:6 (15-16). (1946), 22-4-227.
1@akhozhdeniye -'obstvenrykh Zracheniv Funktsiv lia Elektriche3kcy Sk-hem-e. Zh.
Elektrichestvo, 11(1946), 67-68.
Zamech@@niyn K. Chislenncmu Reshenivu Yrayc%--vkh Zadach Uravneniya L5pla E 1
Vychisleniyu 3obstvennykh Znacheniy, Metodom Setok. Trudy Materr. IR-TA
D1. Steklcva, 20 (1947) 49-64.
Zam1mut e Geodezicheskiye Na Vinogomernykh SferichegUkh Mnovoobraziy,@.h. DAN
(1 yy
20 940), 328-330.
0 Chisle Resheniy Odnoy Varistsionnoy Zadachi. DANI, 40 (1943), 215-217.
0 Cherki Po Istorii Akademii Nauk -03R. Fizido-4Aatematicheskiye Nauki (Ccherk
Po Istorii Matematiki Sostavili F.V. Gnedenkc, B.N. Delone, Y,.V. Kellysh,
L. A. Lyusterrikt I.C. Petrovskiy, L. S. Fonti'.aFin, S. L. Sobolev). M.-L.
IZD. AN. (1945).
Pamyati k.11. Krylova. Uspekh Matem. Nauk, 1:1 (11) (1946) 3-10
Matematicheskiy Sbornik. Uspekhi Flatem. Nauk, 1:1 Ill), (11946), 242-247

L@USTIRNIK, Lazar-Aronovich, 1899
Polyhedra. Izd, 2. 'eloskva, Gos. izcl-vo tekhn.-teor-tich. lit-ry, lgal. 136 p. (49-32330)
144491-L5 19@,'l RPB

7 t-_ "
- i@@

I . . 1-1 1" 1;. 1%. . ; ilu , . I ; -;1,W1 , A ., . " I !, 1 - :, ','I , .
I I - - " .1 @ L)- ,
,@-@eas @-.- I . - 1-1-1 1 . .- I
1, - - .,- 3, . - - " @: I

44
IJW

e
Lyusternik _-L
a
1@, ffi-application i@ ruaTC-tion wich as tfi_e_s_tt_.0_y of jdo@-
'

t i k N
N
I (11), no. 1 3
_(Ig -
3 40).

are intentibnall
inifoldi atialytic difficuitica
desics on a m;
usslan

_
'
-lgnor@d. The.61ticat Valuei of a functitind-i on a space )?

expqsitdi-y@- articl%-@
a
urveying@ and assembling resu Its
'
_h -of tt
I set.
Are, easentiallyj _t evalues at which the topology e
tudy: f
Plyiiig methods to tile
- 0 -@
V I
-
'
i
f-, @
"
RCJ,o is
called a bifurcation point of a nonlinear operator
A acting in a certain Banach space if for any' posi-
tive epsilon and delta one can find an eigenvalue
lambda and an eignevector phi of A (i.e. Affhf) such
that c/..t, 11VI< S. Operators that act in a
Hilbert space H and are the gradients of certain
271T89
functioaals are defined as potential operators,
following the ideas of L. A. Lyusternik and L. G.
Shnirellman. Aim here is to demonstrate the basic
theorem that specifies when each eigenvaue of a
linear operator B is the point of bifurcation of a
nonlinear operator G. Acknowledges assistance of
A. 1. Povolotskiy in the formation of this work.
Presented 13 Oct 52.
27IT89

USS.-13 /Mathematics -Approximations 1 Apr 53
"Elgenvalues of Finite -Dif f erence Approximations
Of the Lap-lace Operator," L.A. Lyusternik, Corr
Men Acad Sci USSR
11,4X SSSR, Vol 89, No 4, pp 613-616
Considers a more extensive class of network
approximations of the Laplace operator from
the viewpoint that finite-difference approx-
imtions of operators possess certain so-
called "parasitic" properties which belong to
the given approximation rather than to the
original operator, and that the eigen elements
256T102
corresponding to the least-negative eigenvalues
of the approximating operator bear a "parasitic"
character, when shown to depend on the choice of
tihe approximating operator. Cites related work
of O'Brien et al. (J Math and Phys. 29, 223
(1951)). Submitted 7 Feb 53.
256T102

USSR/Mathematics - Approximation of
Laplacian
"General Grid Approximations of the Laplace Oper-
ator," L. A. Lyusternik, Corr-Mem, Acad Sci USSR
DAN SSSF, Vol 91, No 6, pp 1267-1269
Continues his earlier work (DAN 89, No 4, 1953), in
which he investigated the eigenvalues and elements
of the general grid approximations of the Laplace
operator. In the present work the author considers
the convergence of these eigenvalues and elements
to the eigenvalues and eigenfunctions of the La-
Place operator. Presented 13 Jun 53.
275T79

@- 3TZIM", L. A.
I-M
USSR/Mathematics - Numerical Solutions
Card l'l
Author : Lyusternik, L. A.
Title : Difference approximations of the Laplace operator
Periodical : Usp. mat. nauk, 9, No 2(60), 3-66, 1954
Abstract : Treats the problems connected with the difference (i.e. grid) approxima-
tions of the Laplace differential operator, delta. Considers the various
grid configurations and their corresponding operators, the convergence
and stability of certain iterative processes, the case of the parallel
grid, the convergence of difference analogs in the Dirichlet problem,
the eigenfunctions, probable evaluations of the error deviations. Thir-
teen references: 9 USSR, latest (1953) by A. A. Abramov, L. V Kantoro-
vich and V. I. Krylov, Sh. Ye. Mikeladze, V. S. Ryaben'kiy, M. R. Shura-
Bura, and D. M. Eydus (11052).

LYUSTERNIK, L.A.
'Operational calculus." J.Hikusinski- Reviewed by F.D.Gakhov.
Usp.mat.nauk 9 no.4:276-277 '54. (Klr.RA 8:1)
(Calculus, Operational) (Kikusinski, J.)

LYUSTMNLK, War' Aronovich; LAPKO.A.F.. redaktor; GAVRILOV,S.S.. tekbni-
y
(Shortest lines; variational problems] Kratchaishie linii; variatsion-
nye zadachi. Moskva. Goa.izd-vo takhniko-toorst.Ut-ry. 1955. 102 p.
(Populiarnye lektail po matematike, no.19) (Kft 9:3)
(Calculus of variations) (Line geometry)

LYU5TIANIK L A prof.; MNIOSHOV. D.Ye.. prof., otv.red,
[Program in the calculus of variations; for the Mechanics--Kathenstics
Faculty] Programma Do varietsionnomu ischisleatiu dlia -aekhaniko-
matematicheakogo fakul'tet.-a. 1956. 1 D. (MIRA 11:3)
1. Moscow. Universitet.
(Calculus of variations--Study &ad teeschiag)

BERMANT. Anisim Fedorovich; LYUSTERNIK, lazarl Aronovich: RYVKIN.A.Z..
red,aktor; TSLAF,L.Tt%-.-, redAkt6r-i MMV-M7A- N.Ya., t4e1rhniche-
skly redaktor
[Trigonometry] Trigonometriia. Moskva, Gos.izd-vo tekhniko-
teoret. lit-ry, 1956. 179 p. (MLRA 9:4)
(Trigonometry)

LYUSTEMIK, lasarl Aronovich; IAPKO. A.?.. redaktor; NS(RIKOVSKAYA. P.A.,
@-I-ek'h'-MW&ct@r-AiAor
[Gonvex figuroB and polyhedra] Typuklye figury i anogogranniki.
Koskva. Goa. izd-vo tekhniko-tooret. lit-r7. 1956. 212 p.
(Polyhedra) (MLRA 10:1)

HOUSZHOIDNR, A.B.; ZHIDKOV. N.P. (translator]; OROV. H.I. [translator];
LIT@7',:40K, L.A.. redaktor; KLIMEMO, S.Y., takhnichookiy redaktor
(Principles of numerical analysis. Translated from the English]
Osnovy chislenaogo analiza. Persvod 9 angliiskogo N.P.Zhidkova i
H.I.Serova. Pod red. L.A.Liusternika. Moskva, Izd-vo inostrannol
lit-ry. 1956. 320 p. (KLRA 9:11)
(Numerical calculations)

Aw.
Wmavrof Was
l
G
HM

rolle
:
01 can
O
u
t A 8@ no
mv. ru Y: oual. An
..
. ......

The basic -proble is -make: mo
to
re Se..- L
i
6

ve,
e ie conve
t
th
rgeric.
y i erat
ar
op
-
-
2)
1i
near.
.(6r solving e. firate .
algorithm
+b

-Here'A- -is'
tiik
.'systeiii
-Sy
-mint
y_:

-order ti, and' is assumed
a
Inv a
f bel
to no
0 on t SP -Y
I
.
-
-dimet - 0.
If besides 11A,1(t)v 11 -_- @ (t) IIA(t,)vll ,
then one of the following conditions is sufficient that the solutions u(t) Of (1)

Doklady Akad.Nauk 111, 12-15 (1956) CARD 2/2 PG - 671
stabilize with respect to the solution v(t) of (2): either
f (t).>Z C2> 0, V-(t) - 1 IIf,(t)II +41 Ct) 11 f (t) (t-r) , r> 0
or F7 J(t)
T(t) 0(t-rl), 0 1.
For establishing the criteria of stabilization by aid of these conditions one
often necessitates an estimation for du(t) . The authors propose:
t dt
du, t , u j
_L emp ir ) dr) + jp( (t) , F-(t)
dt dt t-t tf
0 t t
where r, (t) - r(t) - ; (t).>- 0 and (t), f (t) f E (r)exp(- f d 6) d"C.
t
0

@ - - [-- 1@ 11 Aj j u S j Z R tV -7 K, 4 4,
SUBJECT USSR/MATHEMATICS/Differential equations CARD 1/1 PG - 661
LUTHOR VAIK M.I., LJUSTERNIK L.A.,
TITLE Stabilization of the solu-tions of parabolic equations.
PERIODICAL Doklady Akad.Hauk 111, 273-275 (1956)
reviewed 3/1957
The criteria obtained by the authors for the stabilization of solutions of
non-stationary equations into corresponding solutions of stationary equations
are applied in order to investigate the stabilization of the solutions of
mixed problems for parabolic equations into solutions of corresponding
boundary value problems for elliptic equations.
At first sufficient conditions for the convergence in the mean of the
initial solution to the other one are set up, and then sufficient conditions
for the uniform convergence are given.

LTUSTYMIK, L.A.
A finite-difference analogue of Green's function in the threft-
dimensional case. Vych. mat. no.10-22 157 (MML 10: 11)
(Operators (Mathematics)) (F@nctional analysis)

,/* ec 7,-A
Z "v/n, YL
/
AUTHOR: VISHIK M.I., LYUSTERNIK L,A, 42-5-1/17

TITLE: Regular
Degeneration and Boundary Layer for inear Lifferpntial
Equations With a Small Parameter (Reg-ulyarwyea 7yrozhdeni)-- i
pogranichny,,,- sloy dlya lineynykh differentsiallnykh uravneniy s
malym, paramecrom)
PERIODICAL: Uspekhi Mat.Nauk, 1957, Vol.12, Nr.5, pp.3-122 (USSR)
ABSTRACT: In the domain Q of the n-dimensional space (n?,l) let be given
the linear differential equations
(1) L., u S - h
and on the boundary C of Q let be given certain boundary con-
ditions k@ Here let the coefficients of L,_,depend on F-such
that for S . 0 the coefficients vanish for the highest
derivatives@ This boundary value problem is called the problem
A&* For T.:.- 0 it changes to the proolem.A
; solution of the
0
equation
- h
w
(2) L
0
0
for the boundary conditions 1A., where 40 + The solution
Card 112 of u
of A
in general does not satisfy the conditions f-1-
0
0
1,

Regular Degeneration and Boundary Layer for Linear Differential 42-5-1/17
Equations With a Small Parameter
besides often it is less smooGh than the solution of A@. But
in a number of bounJary value problems for small 9_ , u E u0
differs only noticeable from zero in the neighborhood of r, here
the principal part of the difference has the so-called character
of boundary layers which comp*nsates the non-satisfaction of the
conditions @& 1, In the present paper the authors prove the
existence of a great class of problems Af with the described
boundary layer effect ("problems with a regular-degeneration"),
they give a method of construction of the boundary layer, obtain
art asymptotic expansion for the solution u *_of A Fand estimate
the remainder terms of the obtained approximate solutions and
their derivati7es. The detailed paper consists of an introduction,
ten paragraphs, the formulation of some questions being in
connection with the present investigations and a bibliography of
53 numbers,, The first three paragraphs treat ordinary differential
equations and contain already all essential methods of the authors,
in the parapraphs 4-1C then these results are extended to the
elliptic partial equations of sqoond and higher order and to
Card 212 parabolic equations with a degenerating elliptic part,
-35.Soviet and 18 foreign references are quoted,
1. Differential equations-Applizations 2. Boundary layer

/c- X.)
AUTHORz LAPKO,A.F., LYUSTERNIK,L.A. 42-6-3/17
TITLE: Mathematical Congresses and Conferences in the USSR (Hatemati-
cheskiye s"yezdyi konferentsii v SSSR)
PERIODICALt Uspekhi Hatematicheskikh Nauk, 1957, Vol.12,Nr.6,pp.47-130 (USSR)
ABSTRACT: The authors give a survey on mathematical congresses which have
taken place in the Soviet Union during the last 40 years. The
paper consists of ten paragraphs. �1 Introduction and general
survey; �2 Russian Mathematical Congress, Moscow April 27-MaY 4,
1927; �3 First Union Congress of Mathematicians, Kharkov 19301
�4 Second Union Congress, June 24-30, 19341 �5 First international
conference on tensorial differential geometry, Moscow, May 17-23,
1934 and first international topological conference, Moscow 1935;
�6 The attempt offorming a union partnership of mathematicians
and the periodical "Uspekhi matematicheakikh aauk" during the
period before the war; �7 The Congresses between 1935-1941;
�8 The years of war and after the war 1941-1949; �9 The conferences
of the years since 1950; �10 Third Union Congress of Mathematicians
June 25-JulY 4, 1956.
62 Soviet references are quoted.
AVAILABLEt Library of Congress
Card 1/1

ALJTHCR VISHIK 11.1.,Corresponding '-eiLber of the Academy, PA 3o3o
LrUSTERNIK L.A.,
TITLE Fd-liptical Equations Which Contain zimall Parameters in t:"'M
Derivation5.
(Ob sliipticheakikh uravneniykh, 5oderzhashcMys maliye parkmaLry pri
starsnikh proizvodnykh -Russian)
PERIODICAL Doklady Akademii Nauk 886R, 1957j Vol 113, Nr 4, pp 734-737 (U.@i.L.R-)
Received 6/L957 Reviewed 7/i957
ObTPLACT Li the linear case the foiiowing problom,among others, @rine@for sacn
equations: A family of operators is assumed whici. depend upon the para-
motor 6 ajad are defined within the domain 1Z of the space (Xl,-,Xn):
L u - 2; Es-p L,u . here L u denotes a differential c-perator of tce @'.r-
r IF_ S.p 5
dor