SCIENTIFIC ABSTRACT AGRANOMOV, A.Y. - AGRANOVICH, I. Y.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000100520015-7
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 5, 2000
• Sequence Number: 15
• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

ALIPERIN, P.M., prof.; AGPJLNENKO, V.A.; RODINAP R.I.
AnemJa in patients with acute renal insufficiency. Probl. gemat.
i perel. krovi 10 no.1:11-16 Ja 165. O-Tui 19: 1)
1. TSentrallnyy ordena Lenina institut gematologii i perelivaniya
krovi (dir. - dotsent A.Ye. Kiselev) Ministerstva zdravook!;raneniya
SSSH, Hoskva.

-AGRANENKO, V.S.
Clinical phonocardiographic and morpholo.gic indices of heart.
lesions in systemic lupus erythematosus* Sov. med. 28 no.9:
25-31 S 165. (14IRA 18,9')
1. Otdeleniye pogranichnykIi form (zav. - kand. med. nauk
V.A.Nasonova) Instituta rewiatizma M.-IN S,S)SR (nauchnyy
rukovoditelldoystiTitelln),y chlen AMN SSSR prof. ~e.,,I.Tareyev).

5(3')
AUTHORSs Agranomov, A.Ye.,Patrikeyev,.V.V. SOV/55-58-3-24/30
and Rudenko,, A.P*
TITLE: On the Inhoiaogeneit~ -,'I' the Structure of Silica Gel (0
neodnorodnosti struktli.--y silikagelya)
PERIODICAL: Vestnik Moskovskogo ,.,nJLversitetaqSeriya
mtronc-mii ka.1,21'.1 1958
f. qNr 3,pp 197-2o6 (USSR)
ABSTRACT: The silica gel ASK of -the Chemical Combinate in Voskresensk
was investigated. The sl:a!ua-oare is inhomogeneous inasmuch as
different single pi,~oeb absorb differently strongly the
phthalocyanin of ooppez from a solution. Using the color
differences the authors obtained test pieces with homogeneous
structure in mechanical way. It was stated that only ihose
test pieces are abla to absorb the phthalocyanin, the pore
entrances of which are at least tWiCS BS great as the mols.,
cules of the coloring s-a-Cstance, Furthermore: the inhomo-
geneity originates by. mixture of three different stru,,.tures
with dense particle packing and of several intermediate
structures. The resulto of A.V. Kiselev, G.K. Boreskc-,, I.Ye.
Neymarkq R.Yu. Sheynfaynq and others are used&
Card 1/2

2C
On the Inhomogeneity of the Structure of Silica Gel SOV/55-58-3-24/30
There are 5 figures, 4 tables, and 21 referencesp 9 of which
are Soviet, 9 English, 2 American, and 1 German.
ASSOCIATIONt Kafedra organicheskogo kataliza (Chair of Organic Catalysis)
SUBMITTEDs June 17, 1957
Card 2/2

AGRO140MUl A Ye. - MISHCHENKO A. P.
.7
Activity of a Go/A'203 catalyst with various ratios ofcompontnts.
Vest.Mosk. un. Ser.2: Khim. 18 no-4:50-54 Jl-Ag 163.
OMIRA 16:9)
1. Kafedra organicheskoy khimi4- Mloskovskogo universiteta.
(Cycl*hexane) (Hydrogenation) (Catalysts)

AUTHOR: Sherstyuk, V,11,, Engineer SOV-135-58-11-17/21
TITLE: A Welding Conference of Pacific Coast Plants (Kon4lerentsiya
po svarke predpriyatiy Tikhookeanskogo bRsseyna)
PERIODICAL: Svarochnoye proizvodstvo, 19'~S, Nr 11, P 39 (USSR)
11
ABSTRACT: A welding conference of the Pacific coast plants convened
at Vladivostok by the Scientific Technical Section of 7.'ater
TranSDorts. The following reports were delivered: Engineer
V,N. Sherstyuk on "Further Development of 71elding Practice
in Par-East Plants"; Dot-sent, Candidate of Technical Sciences
M.S. KDlikov on the repair welding of crankshafts; Dotsent,
Candidnte of Technical Sciences, N.V. Barabanov on a rational
design of welded ship hulls; Engineer SN. Agranomov on the
use of the latest methods in semi-auto7p-tic band aut6matic
welding processes; Alekseyev, Gubskiy, Yung, Mallopuro,
Tsirkullnikov, Kagner and other plant workers made various
valuable suggestions on the further development of the weld-
ing process in Far-East plants, The Conferenc-e decided to
Card 112

A Nelding Conference of Pacific Coast" Plants SOV-135-58-11-17/21
establish a welding laboratory on the Pacific coast, and
resolved to take various measures to improve welding
practice in this rerion,
1. Welding.-USSR
Card 212

AGWONIN, G.L.
Effect of strophanthin on the ballistocardiogram of patients
with decompensated vitia cordis. Vrach.delo no.2:195 7 159.
(MIRA 12:6)
1. Kafedra fakul'tetBkoy terapii (i.o.zav.kafedroy - dotoent
R.M.Ginzburg) Stalinskogo meditsinakoro inatituta.
(BAMISTOCARDIOGRAPHY) (STROPHANTHIN)
(HFART--ABNORMITIES AND DEFORMITIES)

AGRANONIK, G. L.
Dynamics of the ballistoeardiographic indices in thyrotaxicosis
under the influence of conservative treatment. Vrach. delo no.31
69-72 Mr 162. (MIRA 15:7)
1. Klinika fakulltatskoy, terapii (zav. - dotsent R. M. Ginzbur&)
Donetskogo meditsinskogo instituta. i klinicheskaya bollnitea
imeni Kalinina.
(BALLISTOCARDIOGRAPHY) (HYPERTHYROIDISM)

AGRANONIK, GoLo
Dynamics of the ballistocardiogram In patients with rheumatic
heart disease. Vop.revm. 3 no.101-75 Ja-Mr.163. (MIRA 1684)
1. Iz fakulltetakoy terapevticheskoy kliniki (zav. - prof.
A.Ya.Gubergrits) Donetskogo meditainakogo instltuta.
(RHEUMATIC HEART DISEASE) (BALLISTOCARDIOGRAPHY)

AGRANONN, Ye.Z., kand.tekhn.nauk; BELOT, A.N., dotgent; GLADKOY, A.M..
GLUSKIN, S.A., in5h.; IYANOV, L.V., dotsent. kand.toklm.
nauk; LIPKIN, Te.V., kand.tekhn.nauk; NIKIFOROV, G.N., dotsent,
kand.tekhn.nauk; PESUSON, I.B., insh.; PUGER, le,A,# doteent,
kand.takhn.nauk; PYATOT, Ta.N., inzh.; ROKHCHIN, Te.Z., in2h.;
FEDOROV, N.F., prof., doktor takhn.nauk; UHTAVS, IL.B., inzh.;
bHIGORIN, G.G., doteent, kand.takhn.nauk; SHIYRIN, S.R., prof.,
doktor tekhn.nauk; POPRUGIN, 1J., in2h., retsenzent; KATS, X.F.,
inzh., retsenzent; ROTMERG, A.S., red.izd-va; YORONETSKATA,
L,V., tekhn.red.
[Kanual of water-supply engineering and sewerage] Spravochnik po
vodosnabzhaniiu 1 kanal12at8ii. kod red. B.F.Fedorova. Lenin-
grad, Gos.izd-vo lit-ry po stroit., arkhit. i stroit.materialam,
1959. 410 p. (MIRA 13:3)
1. Hoscow. ftsudarstvannyy proyektnyy institut Yodokenalproyekt.
Leningradskoye otdelenlye.
(Water-supply engineering) (Sewerage)

AGUMNIK, - Te.g. - .
Water purification on low-capaoity water-supply lines@ Vod,i
san.tekh, no*3:13-17 Mr 160. (MML 13:6)
(Water--Purification)
A.' -
"k-
.

AGRANCHU, Te.Z., Imnd.tekhnnauk; HMOV, A.N., dotsent; GLAIIKOVp A.M.9
J-n:~-z ~.-, Gj~JSKIN, S.A., inzh.; IVANOV, L.V., dotsent, kand.tekhn.
nauk; LIPKIN, Te.V.. kand.tekhn.nauk; NIKIFOROV, G.N., dotsent,
kand.tekhn.nauk; PBSENSON, I.B., inzh.; PREGER, Ye.A., dotsent,
kand.takhn.nouk; PYATOV, Ya.N., inzh.; ROUCHIN, Te.Z., inzh.;
M OROV, N.Y., prof., doktor tekhn.nauk; SRVARTS, R.B., inzh.;
SHIGORIN, G.G., dotsent, Imnd.tekhn.nauk; SHIFRIN, S.M., prof.,
doktor tekhn.nauk; ROTENMG, A.S., red.izd-va; VORONETSKAYA,
L.V.. tekhn.red.
[Water-supply and sewerage manual] Spravochnik po vodoenabzheniiu
i kanalizataii. Pod red. N.F.Yedorova. Izd.2., ispr. i dop.
Leningrad, Gos.izd-vo lit-ry po stroit., arkhit. i stroit.materialam,
I.96o. 42o p. (MIRA 13:12)
li Mo cow. Vodokonalproyakt, Leningr dakoye o deleniyes
fWater-supply engineering) Nwerage~

KASTALISKIY, Aleksandr Aleksandrovicho doktor tek, in. nauk., prof.;
MINTS., Daniil Maksimovich, doktor tekhn.n~mk, prof.,prinimnij
uchastiye: MIKHAYLOV, V.A., kand. tekhn. ~iauk; NOVAKOVSKIY,
N.So; ABRAMOV, W.N.p doktor teldm. nauk, .)rof.y reteenzent;
NIKIFOROV, G.N., kand. tekhn. mauk, dots., retsenzent; PREGER,
Ye.A., retsenzent; BULYGIN, A.K., retsenient; LIPKIN,Ye.V.o
retsenzent-- VOZNAYA, N.F.,, kand. khim. naik, retsenzent;
BE1DV; A.N., dots.., reteenzent; AGRANONIK,.-Yv.Z., kand. tekhn.
nauk, retsenzent; NOVIKOV, P*V.,, Eiih._j r~Asenzent; SHVARTS,
R.B., inzh.p reteenzent; HONYUSHKOV, A.M... kand. tekhn.naukp
nauchriyy red.; NIKOLAYEVA, T.'D., red. izd,..va,- GOROKHOVA, S.S.,
tekhn. red.
[Water treatments for drinking and for industrial uses]Podgo-
tovka vody dlia pit 'evogo i promyshlennogo vodosnabzheniia.
F,oskvaj-G6s.izd-vo nVysshaia sbkola.In 1962. 557 P.
(1a.RA 16:
1. Kafedra vodoonabzheniya Leningradskogo inzbenerno-
stroitellnogo instituta (for Nikiforov, Preger, Bu~gin,
Lipkin) Voznaya, Belov, Agranonik).
(Water--Purification)

AGIWIOV, D.M.; FRIDMAN, V.Ye.
Simple signalling circuit for the case of the deviation of
controlled parameter. Priborostroenie no.10:25-26 0 163.
(MIRA 16:11)

k~ r)
labo nc.;1626-(-'~ 1-t-,5)

AGRANOVY Kh.l.; REYW.-J, I..V.
Lut-01natic glas litill)pf"r for ho mjcroi(,muntral..ions of
k1roon. Klicl.tikh- 42 rio.2-4X1,73 M7-.,qp :f5. (mun, 'R..5)
1. Spetsialln:)ye konalurukuwskoye bjuro anai-iticheskcgo priticro-
stroyeniya AN SSSR.

-AGRANOV, N.A., inzh.
Six-spindle pipe-outting mchine. Suggested by N.A.Agranove
Ratsoi izobr.-predl.v stroi. no.14:82-84 160.
(MIRA 13:6)
1. Po materialam treeta Santekhmontash-62 Glavleningradetroya,
Leningrad, kanal Griboyedova. 36.
(Pipe cutting)

AGRANOV- N N - MIRONKOV, B.A., inzh., red.; ROTENBRRG, A.S., red.;
PULIE;IA, Ye.A., tekhn.red.
[Conveyer system of manufacturing and assembling tubular parts
and units used in sanitary engineering] Izgotovlenie i sborks.
trubnykh detalei i uzlov santekhsistem na konveiere. Leningrnd,
Gos.izd-vo lit-ry po stroit.i arkhit., 1957. 41 p. (MIRA 11:1)
(Pipe fittings)

- AGRANOV, N.N..(Uningra4).
Mechanized fitting of pipes for sanitary,,enginearing syste ,me. Yod. i
san. tekh. no.4:1-5 AP 157. WaA lotO
(Pipe cutting) I
I

AGRANOV, N.N. (Leningrad)
.. ........ ~
Modernization of a pipe-bending mschine of the Kalinin Plant.
Vod.1 san.tekh.no.7:31 J1 157. (MIRA 10:11)
(Pipe)

AGUNOV, Ye.k.. ini!heuer; YXLISIROVSKIY. V.B., inzhoner.
-'W-U-WAWRVfW
R~infqj~qqO,_qomqreto centrifuged poles for electric transmissioR lijes.
Makh. strol. 14 ne.2:-14-18 7 157. (KIRL 10:4)
(Illectric lfte--Poles) (Precast concrete)

AGRANOVAt N.N.
,~ `-!~ --
, a - ?.
SM.M-Or , -
Pipe cutting machine tool. Biul. tekh. inform. 4 no,5:28 Yq 158.
(MIRA 11:8)
1. Glavayy inzhener zavoda "Santakhoboradavaniya" No.4.
(Pipe cutting)

AGRANOTA, V.; FRDDROV, R.
All-Ruseian Meeting of Young Technicians-luxk-tekb- 5 no.10il-15 0
,6o. (MIRA 13:12)
(Students$ societies) (Technical education)
-- --A
I

AGRANOVA -I.--
Youth relay race. IUn.tekh. 6 no.9:72-75 S 161. (IOU 14:10)
(14oscow--Technical education) (Electronic calculating machines)

-U-sT(*.L /VaO(b-)emk !JP(-) G G
AP
A=nTOF 0941 GE/00171610131005/017510210
AUTHOR: -~~nov~ic, V. M. Ginzburg, V. L.
TTTLF: Some problems in crystal orti -a-witb spatial elicnersion and the exciton
theorv
SOURCE- Fortschritte der Physik, v. 13, no. -5, 1965, 175-210
TOPTC TAGS: crystal optics, exc1ton, crVSral strlicrt,rp~ crvztal theory
ABSTRACT: The purpose of this article, which was translated from the Russian by
lierTmann, was to provide additional !ata a-~; a-
article pubiished narlier in Fortschrlt,-,- Mpr Phvq1k k-, ij. jQf'i. 163, The
~a!~i,nt ffatures oi both the origins' arri-1- nre
W~P !uled fir Parlv Publication bN,
-E J;Scurse,': fn'roduci-~;n or
a
T s ~f p aj t-
this tensor from the transverse field dispersion relation's for the 'refraction
index of light waves in the medium, ray di7pct Ion and :flocity in nn ab-
s~r~ing medium, ielations betveen 11-1 1 8:1 r
nuency consi~erlng spat ial digpersio- 8no ac,.,.vE, a:-,
C,,d 1/2

ASSOCIATIOIN None
SUBMIIMD! 00 FNCL, 00
NO REF SOV: 022 OTHER: 006
SUB CODE: 0
Card, 2/2

-AGR.ANOVICH, V.M.; ODINTSOV, D.D. -1
Dependence of the ion-electron emission of single crystals on
the temperature of the target. Dokl. AN SSSR 162 n0.4%778-780
Je 165. (MIRA 18:5)
1. Submitted December 12, 1964.

A
of penicillin- in -combination--wJtb otmoun in coge
Un
tL-- M. I E. VaI3.4 -
e Z V. ErmoVeN.A. ), Ittaitsevs, G
alezitut, and R. 1. Agrozovich. Trudy Akad.
M, T' I il fVrj7,-mmmie 22, No. 1. i
s.S.S.R.. AsOMM
bination with ccm0lin and procaine.
W143-57(052)~ c level for 12
Illn (1) remaii in the bloml at theraptuti
pmki c I level in the
fits. Eemolin wit I I'lainta6 a thcraPtuti
S IslWaft-
bk)od

00 A
A.
0* jbinder, A. I ~ Wbindrr, H. it. Zbwheuko. T. T. INvoys
so At
and L, M. Fellin. U.S.SX. 67.002, Dec. 31, 1941.1, An
00 antibrisant ammonite contt up to 3V,1V of N%Cl is prrpd.
00 using as extender ground lp e bark baving a moisture con-
k imi W not over 12%. Tbegmntilowrtriccomp".01NACI
:0 :0 4: O'houhl he : 0.5 mul, 8-12, 1.0 in"). 20--w. 1.5 tam, 28-42,
00 AtIAl 2,1) 11111%. To the finely fmild "ItIvetcr
I Is stildrd
and tsplaskv (trotyl or xylyt) hi a raising drun
WO -C first the frxKmd pint bark, and then N*Cl- %fuPle
non I ttoiyl R.".5, NII.-
0* 3 compne, o nwbtiunt ammon tes, NsCl 31-M
N!04,14."7.6, powd. pine bark 2.&4.3.
000 P~ftf by wt. or sylyl 0.8-10.5, NII,NO, 50.6-62-5. p-L
00,3 June bark 2.54.3, NsCI 25-27 parts by wt. &be. dty twits.
M. I I owh
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A(RWUV 0 ., ---- - -
Opyt uspeahnogo lecheniya aktinomikoza legkikh penitsillinom.
Klinich. meditsina, #12, 1947j PP 56-62 - Bibliogy: 16 na-,v.
Letopis' Zhurnallnykli Statey, 0, 19148, item 1895

. I
Zelenin, V. F. and Arganovich, B. Ya. "The principles and the future of the
treatnent of hyl;er-tonic disease", Trudy Ghetvertoy sessii Akad. Pled. nauk SSSR,
1-1 scow, 19118, p. 66-79.
rl
SO: U-2888, 12 Feb. 53, (Letopis' 2,hurnal 'r;yl:h Statey, Illo. 2, 19h9).

AG r I T

I R000cming of condensed splar I rined in manuutmr-
~g of syutbetlj4lW~ aelds, N, K. Man' oyla . L G.
nlnl- W va. a rx- h I,
Ifins out of ayn-,hetl-
fatty raids, with di~td watry rontg. Na~S(-'*t removes HOAc
nnd HCOOH. Usr of ;-td 'alt -VAn. Or adfln. d? &-%1t,
ditectlY to I proiuArd th-t samE rtsults. The produtt
pjtet 'salOng aut Contabird ROAT pbts QlOOH 1-5;'
rJOOH' AnWHI, plus Valtrit raid With
t ifiakdCr cwnprwrls tht hizbtr tnol.'Wl. atkl3, e5ters of ihm.:
j and unsaporifiable rasittet. VIndlMly N. Krulrovsky

AGHMOVICH.
0
Card 1/3 1 n

On Analytic Solutions of Partial Equations Wth SOV/20-124-6-1M
Constant Coefficients
Theozemt Let u(x) be analytic solution of (1) which
satisfies the condition (2). Then it is
(3) u(x)_ (2jyj)-n P(Wls-~ -le(x's)ds,
where (X,B).x 3 +...+x a , Ix 0 and a -*0'
1 1 n n kl< &k if Pk= k
d aY c pl (,U=d+y >,O), so that it holds ddy,b6
( I - P)/A,
(4) < C~a a+ 6)/e -/L/u
If for a sequence of solutions it tends C E----)0, then it
holds CE 7-)0 too. On the other hand: If the numbers d
satisfy the condition (4), then (3) is an analytic
solution of (1).
The integration in (3) has to be carried out along rather
a circumstanti-ally given system of contours T.. The author
1
con2iders several SDecial cases of the theorem and a
Card 2/3 similar Cauohy problem. The results partially overlap with

On Analytic Solutions of Partial Equations With
Constant Coefficients
-6-1/r5
SOV/20-124
the results-of A.G.Kostyuchenko, L.Ehrenpreis and V.I.Prota-
sov. The author thanks Professor G.Ye.Shilov for his assist-
ance#
There are 5 references, 2 of which are Soviet, 2 American,
and 1 French.
ASSOCIATIONtMoskovskiy gosudarstvennyy universitet imeni M.V.Lomonosova
(Moscow state University imeni M.V.Lomonosov)
PRESENTED: October 319 1958, by A.N.Kolmogorov, Academician
SUBMITTED: October 30, 1958
Card 3/3
1

16(1) SOV/20-128-3-1/58
AUTHORt Agranovich, M.S.
TITLEt -Se-veral 'Theorems on Partial Differential Equations With
Constant Coefficients
PERIODICAL: Dokiely Akademii nauk SSSR,1959,vol 128,Nr 3,PP 439-442(USSR)
ABSTRACT: 'Let x=(xl,.#.txn) be a point of the real Rn; P(a/ax)-
x
.P(31axjj..*)a19x n) a polynomial of degree m with complex
co efficients in 819X ar ~ r Irl r1 ... ax rn, where
/ax - 8 79X 1 n
114 -,YX2 K the space of the finite oo-smooth
n i
functions.
Theorem 1: P(8/ax) is assumed to possess the fundamental
solution E(x) which is on K a generalized function of order N:
~e (x) Lew ,X,
r a,r
where er(x) are continuous functions. Let-Q and 121 be bounded
domains,SIC -at. Let the generalized function u(x) satisfy
in X11 the equation
Card 1/2 (2) P(algx)u(x) - f(x).

/r:8
SOVI'20-125-3-1/
Several Theorems on Partial Differential Equations With Constant
Coefficients
Let f (x)G Cp+N injQ' (p~,,O) and u(x)eCm+. P+N in the boiAndary
strip AT\TI . Then it is u(x)C Cp in 2~11 .
Under certain conditions three further theorems give the ex-
tension of theorem 1 to unbounded domains and some sDecial
cases. The ast theorem 5 describes all the solutions of
if f(x)e C j *
The results can be extended to systems of equations and
partially to some equations with convolution.
I.G.Petrovskiy is mentioned. The author thanks Professor
G.Ye.Shilov for the guidance of the paper.
There are 10 references, 5 of which are Soviet, 2 Swedish,
I French, 1 American, and 1 Japanese.
ASSOCIATION-.Moskovskiy gosudarstvennyy universitet imeni IA.V.Lomonosova
(Moscow State University imeni M.V.Lom6nosov)
PRESENTED: June 3, 1959, by A.N.Kolmogorovf Academician
3UBMITTEDt June 21 1959
Card 2/2

ITO, Kiyesi (1T0, Kiyoshi]: VINTTSMI, A.D. [translator]; YMA, B.A,
(translator]; DYNKIN, Ye.B., red,; AGWOVICH, M.S., red.;
IOVIAVA, N.A., tekhn.red,
[Probability processes] Veroiatnostnye protsessy. Pod red
B.B.Dynkina. Moskva, Izd-vo inostr.lit-ry. Ho.l. 1960.
33,p.
Translated from the Japanese. (MIRA 14;1)
(Probabilities)

XARLDWp Torsteynq matematik(Carleman, T.]; KARABEGOV, V.-K.I. [translator];
BOGOIMNOVo N.N., red,j AGRAHGVICHj M.S., red.; -PRIDANTSEVAt S-V-t
takfin, red* -------
[Matbomatical problems ~n the kinetic theory of gases. Translated from
the French] Matematiaheskie zadachi kineticheskoi t6orii gazov. Pod
red. N.N.Bogoliubova. Moskvaq Izd-vo lit-ry 1960 120 pe
(Gasest Kinetic theory ofi 0 (KERA 14:7)

q! M.S.-JAgranovichl M.S-]
Ap .1
,~A Y-1 , -,, -
Differential equations with constant coefficien,
16 no.1:3-74 Ja-llr 162.

23575
S/042/61/016/002/001/005
14.1-500 C ill/ C 222
AUTHOR# Agranovich, V. S.
TITLEs On partial differential equations with constant coefficientB
PERIODICALs Uepekhi matematicheskikh nauk, Y. 16, no. 2, 1961p
27-93
TEXTs � 1. Introduction. � 2. Theorems on the smoothness of the
solutions. Theorems on the uniqueness and the inoroase ofthe aolu-
tions. � 3. General. solutions in the bounded region. � 4. The finding
of all solutions with aid of the smooth solutions. � 5. General
solutions in the whole space. � 6. Analatic solutions.
The author considers general partial differential equations with
constant coefficients
P( 2 9 ..., A- ) u(xit ... 9, X f(X19 ... I x 0.1)
'4x1 ')x n
C n n
where P(s 1 9 ... V an) is a polYnomial. The pricipal contents of the
paper is a detailed representation of results annonneed without proof
Card 1/7

On partial differential equationa
23575
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C ill/ C 222
by the author in earlier papers (Ref. 401 Nekotoryye obahchiye formuly
d1ya, resheniya uravneniy v chastnykh proizvodnykh s postoyannymi
koeffitaiyentami LSoms general formulas for the solution of partial
differential equations with constant coefficienta) IzYe vuzoy. sere
"Matematikal't no. 4 (5) (1958),3-20; Ref. 41: O~ishchiye resheniya
differentsiallno - raznostnykh urayneniy a postoyannymi koeffitsiyenta-
mi [General eolutions of differential - difference equations with
constant coefficients.1 DAN 123, no. 1 (1956) 9-12; Ref. 423 Ob
analiticheskikh resheniyakh uravneniy v chastnvkh proizvodnykh s
postoyannymi koeffitsiyentami [on analytic solutions of partial
differential equations with constant coefficients) DAN 124, no. 6 (1959),
1183-1186, Ref. 43S NeskolIko teorem ob uravneniyakh v chastnykh
proizvodnykh 9 postoyannyxi koeffitsiyent rSome theorems on partial
diMrential equations with constant coeffreients3 DAN 128, no- 3
(1959)t 439-442; Ref. 44S 0 nekotorykh klaseakh reBheniy uravneniy v
chastnykh proizvodngkh a poetoyannymi koeffitsiyentami, LOn some
classes of solutions of partial differential equations with constant
coefficients-.1kandidatskaya dissertatsiya, MGU, 1959.
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On partial.differential equations
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C 111/ C 222
Thetsystematic representation of the mentioned results overlaps
sometimes with well-known results of Ehrenpreis, Malgrange,
Shirota, Ebrmander and others.
The main theorem of � 2 contains the following assertions
Let 4-L and 0- be two bounded regions, where the closure of the first
region lies in the interior of the second one. If then in (1.1) the
right-hand side f(x) is infinitely often'differentiable in~sj and
the solution u(x) is infinitely often differentiable in the
boundary-etrip then u(x) is infinitely often differentiable
everywhere in IL. Furthermore, the author proves a stronger theorem
in which the moothness (or the order) of u in I'L is estimated by
the smoothness (or order) of f in _~J, and u in P,\ f1', . It is shown
that the maximum of the amount of the solution in a region can be
estimated by the maximum of the amount of the right-hand side and some
of its derivatives in this region and by the maximum of the solution
and some of its derivatives in the boundary strip. In exceptional
cases the order of increase of the solution in a region can be
estimated by the order of increase of the right-hand side in the
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2~j 5 75
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On partial differential equations C Ill/ 0 222
region and by the order of increase of the solution in the boundary
strip.
In � 3 the author constructs the general solution of the equation (1.1)
in the space of the generalized function KI KL ) where f~ia_a_bounded
.region with a sufficiently regular boundary. If especiallyfiiraO
then then general solution has the form
*~Z__ -,Nq
U (X) 'D E(Z-Y) (3-18)
q
yf "X
where E(x)-- fundamental function determined according to the formula
of Hbrmander-Trgves, r -- boundary of J1. , e.,i q --measures on it. Thus
the-general solution depends on an arbitrary system of measures on r.
From (3,18) it is concludeda in a convexpolyhedron every solution of
(1.1) (f~m 0) is a finite sum of generalized functions which satisfy
the equation in halfspaces containingCL and bounded by hyperplanes
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On partial- differential equations C 111/ 0 222
going through the lateral faces,of the polyhedron.
In � 4 it is shown that all generalized solutions and all ordinary
solutions with a small reserve of smoothness in several spaces can be
obtained from the ordinary arbitrarily smooth solutions by a diffe-
rentiation in the sense of the generalized functions and by formation
of finite pums.
In � 5 the author uses a modification of the method of Shirota in
order to describe all solutions of (I.1) in the classes KI, KI and
00 F
C (K'-- space of a1-1 functionals of finite order), e.g .3 Let
f I Co
jx)j ~e an,arbitrary system of functions of C (y-(v1P'Q'9 %1d;
V - 0" - 1, - 2....), where
j
f,4(x) '~_= f (10 (5-5)
and f,4V~ a 0 outside the n-dimensional cube Q 4: x + 3.
Let FV(s) be the Fourier transform of fI4)(m). Let Cq~) be constants
so-that
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On partial differential equations ... C ill / C ;22
()qfV
C
q,~~ (5-7)
holds for all. qani -j Then there exists a system H (depending
only on I Cq,W of Hdrmander-steps for P(-is) so Uflthe general
solution of (1.1) belonging to CCD is given by
U(X) - I j F V(a) e- i(x's) d 6- (5-8)
(2t,?)n 1~ H 7P: -1-9 T
I-a � 6 the authdr constructs general solutions In di-ffarent DIusees
of analytic functions. He uses contoures being analogous to the
Hbrmander-atepa-whickri however, do not replace the product of n
straight lines but the product of n circles Is J IsnI - ?n
Here the general solution depends on a countable number of constants
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On partial differential equations C 11i,/ C 222
which satisfy certain simple conditions.
The author mentions M. J. Vishik, G. Ye,~ Shilov, J. G. Petrovskiy,
V. P. Palamodovq T. A. Kokareva, A. G. Kostyuchenko, J. M. Gellfand,
Z. Ya. Shapiro, V. A. Borovikov, L. A- Chudov, V. V. Grushin, V~ M.
B:)rok and V. G. Protasov.
There are 22 Soviet-bloc and 23 non-Soviet-bloc references, The re -
ferences to the four most recent English-language publications read
as followas H. Busemann, Convex surfaces. New York, London, 1958;
L. Ehrenpreis, Solutions of some problems of division, IV, Amer. Journ.
of Math., U, No. 3 (-ig6o)~ 522-587; L. H6rmander, Differential
operators of principal type,. Math. Ann. 140. No. 2 (ig6o), 124-146;
F. Tr4ves, Differential polynomials and decay at infinity, Bull,, Amer.
Math,. Soc. 66, No. 3 (ig6o), 184-186.
SUBMITTEDi October 10, 1960
Card 7/'7
. i

AGRANOVICH, M.S.
Index of elliptic operators. Dokl, AN SSSR 142 no.5..IAW5.985
962. (MIRA 1,r- i. 2)
1. Vsosoyasnyy zaochnyy mashinostroitelliqy instituto
Predsta7leno akademikom I.G. Petrovskim.
(Operators(Matheraaties))

5/02 62/146/003/003/019
B172~B186
AUTRORS: Agranovich, M. S., Dynin, A. S.
JITLE: General boundary value problems for elliptic systems in
multi-dimensional regions
PLRIODICAL: Akademiya nau~ SSSP4 Dokl'ady, v. 1'46,1 nc, 3,1'190Z, 511-514
TEXT: The results reviewed here, have already been published for the case.
of one single equation (A. S. Dynin: DAN, v. 141, no. 2, (1961)).
Consideration is' given to a region G of Rn, the operator
Au - A(i~,D)u(x)
in G, and the operator BU -.B(xpD)u(x)
on the boundary r, where A is a matrix of the order p, D - (Dip.661D )P
D i a I
, and B is a matrix with r - ps/2 rows and p columns. The
axj
elements of A and B are linear partial differential operators. The
.1
Card 1/2

S10201631149100210011028
B112/B160
AUTHORS: Agranovich, .14. S., Vyshik, M. I.
zi Aptic boundary value problems depending on a parameter
PERIODIML: Akademiya nauk SSSR- Doklady, v. 149, no. 2, 1963, 223-22b~
TEXT: -1Z boundary value problem under consideration is due to 1. G-
V
Petrovskiy. It reads
Au=- a.A(x)qaDu(x)=j(x) B G, (1)
a+1AKS
B.u b..A,(y) qaDOu (x) g, ~(y) (y C. r, v (2)
a+
n
and is inventigated in a boundoci rv,ion G of the n-dimensional space R
The coefficients of the systen and of 41-he boundary operators a3,e assumed
to be dependent on a parameter a where Q is an angular region of the
complex plane with the vertex in the coordinate origin. Algebraic
Card 1/2

Elliptic boundary value problems
cond itions (to be fulfilled by t:ae
are derived. which are sufficient
problem for large_ (Ii
PRES aETTED Oct 0
-ober .12,.-1962, by-'.
SUBMITTED: October 8, 1962
S/020/63/149/002/001/026
... 3112/B180
system and by the boundary oporators)
for the unambiguous solvability of-the
G.-Petrovskiy, Academician
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AGRANOVICH, M.S.; VISHIK, 11,1,.T.
Elliptic problems w.,th a parameter anu problems of
a general t.,rpe. Usp. nat. nauk 19 no.3:53-161 I.I.,,r-Je t64.
(MIRA 1-7: 10)
I

ACCESSION NR: AP40251.03 S/0020/64/155/093/0495/0498
Al~THOR 'Agrno A~chl, H. S.
TITLE: General boundary value problems for Integral-differential
elliptical systems
SOURCE: AN SSSR. Dok'lady*, v. 155, no. 3, 19649 495-498
TOPIC'TAGS: boundary value problem, elliptical system, integral
differential elliptical system, Euclidean space, differential elli-
ptical system, Dirichlet problem, mathematical analysis
ABSTRACT: A class of singular integral-differential elliptioal.! n
systems in a bounded domain G of an n-dimensional Euclidean space R
is described. The operator
Au (x) = M 7
I a D*L u(x)'.
141