SCIENTIFIC ABSTRACT VISHENKOV, S.A. - VISHIK, M.I.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001860020020-2
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 1, 2001
• Sequence Number: 20
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

VISHENKOV B A kand.tekhn.nailk; GOSTENINA, V.M., inzh.; YEKATOVA, V.S.,
1AYKINA, L.A.Vinzh.; FILIMONOVA, L.V., inzh.
Chemical nickel coating of weyed aliminum parts. Metalloved.
i term. obr. twt. no.1203-N' D 162. (KRA 161l)
.(Aluminum-Welding) (Diffusion coatings) (Nickel)

25453
S/137/0'1/000/006/092/092
A006/A101
AUTHORSi Borisov, V.3.. Vishenkov, S.A.
TIME: The effect of a chemie:al niohel coating on fatigue strength of ma-
chins parts
PERIODICAL: Refera*.Ivnrj zhurnal. Metallurgiya, no. 6, 1961, r19, abstract 61473
(V ab. "Povy.9heniye iznosostoykostl I aroka sluzhby mashin" , v. 2.,
Kiyev, AN UkrS3R, 1960, 214 - 219)
TEXT The onemical nickel plaling of steel speclimens wl-,.hou-, Subsequent,
heat treatment dces pra-,T.Ically no-?. reduce their ~7'w~ but the 11mi-,ed durability
of nickel'p2at-?d speclmen3 'L~~ etrongly Impaired. As a reisult cf heat treatment
of the Niccating, applied by r~hem,--al means, 6-W of s-,eel decreases ('~o -PL5%).
The ohem!~~al NI-ocating raiies c w cf an A1-4 aluminum alloy up to 38%) at a 0.03
mm thick layer or, ihs site and on, the basis of ~.es,;z at 20.10 loading cycles.
After pre-^ipV~ati-:~n of Ni, the ape,~Imens are euojected to tempertng at 2300C f,sr
I hcur.
[Abstracter's notes G:~mple-,.e translation] Ye. Layner
Card 1/1

VISHENKOVs S.A. AND K""RISOV, V.S.
The Effect of Chemical Nickel Plating on the Fatigue Resistance of Parts.
Povyshenlye iznosostoykosti i sroka sluzhby mashin. t. 2 (Increasing the Wear Resistance
and Extending the Service Life of Machines. v. 2) Kiyev., Izd-vo AN UkrSSR, 1960. 290 p.
3,000 copies printed. (Series: Its: Trudy, t. 2)
Sponsoring Agency; Vaesoyuznoye nauchno-tekhnicheskoye obshchestvo mashinostroitelonoy
promyshlennosti, Tsentrallnoye I Kiyevskoye oblastnoye pravleniya. Institut mekhaniki
AN UkrSSR.
Editorial Board: Reap. Ed: B.D. Grozin; Deputy Reap. Ed.: D.A. Draygor; M.P. Braun,
I.D. Faynerman., LV. Kragel'skiy,- Scientific Secretary- M.L. Barabash; Ed. of v. 2:
Ya. A. Sa-nokhvalov; Tech. Ed.: N.P. Rakhlina.
COVE'RAGE.- The collection contains paper presented at the Third Scientific Technical
Conference held in Kiyev in September 1957 on problems of increasing the wear resistance
and extending the service life of machines. The conference was sponsored by the
Institut stroitellnoy mekhaniki AN UkrSSR (Institute of Structural Mechanics of the
Acadenq of Sciences Ukrainian SSR), and by the Kiyevskaya oblastnaya organizatsiya
nauchno-tekhnicheskogo obshchestva mashinostroiteltnoy prore7shlennosti (Kiyev Regional
Building Industr7),

VISHMOVy S. A., AND GARKUNOV9 D N.
----------
Antiftiction Properties of the Nickel-Phosphorus Coating
Povysheniye iznosostoykosti i sroka sluzhby mashin. t. 2 (Increasing the Ware Resistance
and Extending the Service Life of Machines, v. 2) Kiyev, Izd-vo AN UkrSSR, 1960
290 p. 3,000 copies printed. (Series: Its: Trudy, t. 2)
Sponsoring Agency: Vaesoyuznoye nauchno-teknicheskoye obshchestvo mashinostroite-I 'nay
promrshlonnosti. Tsentral Inaye i Kiyevshove oblastnoye pravleniya. Institut
mekhaniki AN Ukr5SR,
Editorial Board: Rasp. Ed. : B. D. Grozin; Deputy ReBp. Ed.: D. A. Draygor; M. P. Braun,
1. 1). Faynerman, I. V. Dragel Iskiy; Scientific Secretary: M. L. Barabash; ED. of
v. 2: Ya. A. Samokhvalov; Tech, Ed.: N. P. Rakhlina;
COVERAGE: The collection contains papers presented at the Third Scientific Technical
Conference held in Kiyev in September 1957 on problems of increasing the wear
resistance and extending the service life of machines. The conference was sponsored
by the Istitut stroitel Inoy mekhaniki AN UkrSSR (Institute of Structural Mechanics
of the Academy of Sciences Ukraninian SSR), and by the Kiyevskaye oblastnaya
organizatsiya nauchno-tekhnicheskogo obshchestva mashinostroitel Inoy promyshlennosti
(Kiyev Regional Organization of the Scientific Technical Society of the Machine-
Building Industry).

-J/C,(,JA11()GI01WVV1,10l4
100,112U7
Jaifaca (In acjlxjl~ cost. oor-cn-tu by chc;aival I-dc%al -plat ing
SuUACE: jt.~ado~."YQ o-JUL. I.V-Li6lya .),) te,~.hiioloC-_'i ;.,zaahinoutroyoniya. Sci.,iiiar
,d,.) zac.acutvu r,0,5, 1961- &achstvo povcr~lluioz;ti
detalcy dy i pribox-y, up=och;~elaiye Ixtallov, tekhnologiya
Ti~ZQ: A brief dencript.,ti, i._ alvei, of Lethoda for clicudcal. nickel-platina.
jf,VC3t4;atioi-,.3 and ta'sta ,,ore ccxr~c(! out to ntiuy both t 'lie properties of coziponents
Sabjccted to C"iCLACal UCACl-,r)i4tIIk,, W-d the LXUha;:.i= of thio process. Diffuzion
i,-.4.e -nal
proceLssea iLiprovcd the adile:-L ill of cuat.Litau to by aff ectir.~ tht~ir . s, ~ .
atructure. i1cat tL'CatLiClIt., oc,.,,jL t:r;;.uijr i;,.':Iuc.A,;cd tht dLrauility ard adhanior, of
.wjrface coati,(%C;S. rfIle a;ear vC.,;.3tzL.t;L: ZL," Lu.ti-aoizina propertica of rickel-phomphate
co,.at,~a were. ~-zxzediy i;.;pruvad 6,~ tvL!zst:;icnt. -ax_'_uw spccif~c load oii nickcl-
phouphale doatcd cowpoll-As PI-Or t, i~--t t,'OEA-ent was 45 kp-/w , it inereand aftf!r
C ard 1/2

;;/5,14/61/"*/M/CO6/014
IWII1207
Sarface hardo,iii4,, of...
0 2 0 2
hcat treatment of 250 C, to JO aAi~ at 300-700 Wo 420 kl-JCZ;. 1lickel-phosphate
coatings if not uubieutcd tu licat trea=(--iit do not Laprove fatigue 3tro,-,Gth, due to
low adhosiua of the coatii,,,. llowovcr '~,.ey eisure good corrosion rasistance. Ucrohardneas
measuremajits of uickel-phoz,)hate cniattd co poi~eatz :ihowed this characteriotic tu *u--
greatly iwproved. platinj is an advanced process ensuring
imporved surface huzdnes-,,, wear corrusion rujistarce. The process pcrait3 coz:po~.Crts
of various uhape, jii,c wd eo;~po:Atiuii to be efficiently coated, thus -arkedly ircrea3-
ing the production rw.,-c of TrAe service life of corponents subjected to
chouical nickel-platinL;,incrt-aoud a.; ~.uch 69 2-3 tiLes. There arc 4 figures and
3 tables.
Card 2/2

ACC NRt AP6032487--- SOURCE CODEi ~-R:/'04i-3/66/000/017/0025/0025
INVENTOR: Vishenkov, S. A.
ORG: n o n a K'
TITLE: Hethod of heat treatment of electroless coatings. Class 18,
No. 185356 J~
SOURCE: Izobreteniya, promyshlennyye obraztsyg tovarnyye znakip no. 17
1966, 25
TOPIC TAGSs metal coating, electroless coated metal heat treatment
adhesion, hardness, wear resistance , induction hardening
ABSTRACT: This Author Certificate introduces a method for heat treat-
ment of electroless coatings such as nickel-phoaphorus, cobalt-
phosphorus, or nickel-cobalt-phosphorua coatings. To increase the
hardness and wear-reaLstance of coatings and their adhesion to the bass
metal and to prevent distortion and softening of coated parts, high-
frequency induction heating is used*
SUB CODE: 110 13/ SUBM DATEs 30Har65/
Card 11 UDCs 621*785s545,4:621*357,77

VMMKOY.-~men Ardkpo.ly-~~K~;h; HELINIKOVA, H-H., rod.; TEMKINA, B.Ya.,
otv. za vypusk; SUMAREVA, R,A., tekhn.red.
.1. (Inc,re'abin,g''the wear resistance of parts by chemical nicket
coating] Povyshenle iznooostolkosti detalei khimicheskim nikeli-
rovaniam. Moskya. 1959, 59 p. (Hoskovskii Dom nauchno-tekhni-
cheskoi propagandy. Peredovoi opyt proizvodstva. SBriia: Progres-
sivnaia tekhnologiis mashinostroeniia, vyp.5) 59 p. (MIRA 13:9)
(Protective coatings) (Nickel plating)

S/137/62/Ooo/Oo6/142/i63
A057/A101
AUTHORS: Vishenkov, S. A., Velemitsina, V. I.
TITLE: Strengthening of the surface of machine parts by the method of
chemical nickel plating
PERIODICAL: Referativnyy zhurnal, Metallurglya, no. 6, 1962, 94 - 95, abstract
61599 (V sb. "Kachestva poverkhnosti detaley mashin. Sb. 5", Moscow,
AN SSSR, 1961, 146 - 155)
TEXT: The coatings were applied on the parts In an acidic solution of the
composition (in g/1): NiC12 21, Na-hypophosphite 24, Na-acetate 10, PH 5.0 - 5.3,
temperature of the bath 90 - 920C, or in an alkaline solution of the composition
(in g/1): NiC12 21, Na-hypophosphite 24, NNCl 30, Na-citrate 45 and 25% solu-
tion of ammonia 50 - 60 ml/l; PH 8.3 - 8.5. temperature of the bath 85 - 880C.
Coatings obtained from the acidic solution contained 5% P, and from the alkaline
solution 9% P. The coatings were tested on resistance to wear, antifriction
properties, resistance to gallIng, and resistance to gas corrosion at high tem-
peratures. Chemical nickel plating yields coatings which strengthen considerably
Card 112

Strengthening of ...
S/137/62/000/006/142/163
A057/A1O1
steel and Al-articles. The life of the articles increases 2-3 times. Ni-P-coat-
ings can be applied to articles of any shape.
Ye. Layner
[Abstracter's note: Complete translation]
Card 2/2

VISHENPOLISKIY. A.B.
Significance of pressure receotore of the rthsal cavity in birdR
in the regualtion of respirstim [with summnry in English].
Biul.ekap.biol. i med. 45 no.3:27-31 Mr'58 (MIRA 11:5)
1. Iz kafedry normallnoy fiziolorii (znv. - Prof. G.Ya. Khvolea)
laragandinRkogo meditainskogo institute (dir. - doteent P.N. Pospelov).
Predstavlenn. deyetvitellnym chlenom AHN SSSR V.N. Chernigovskim.
(RESPIRATION, Phvsiologyv
nasal baroreceDtros in birds (Rua))
(B MDS'
resp.significance of nasal beroreceptors in birds (Rua))
(ATMOMMIC PRESSURF.,
nasal baroreceptroa in
(NASAL CAVITY. physiology.
baroreceptors. role in
birds, role in reap. (Rus))
reap. in birds (Rua))

KOZHEVNIXOV, S.N.; SKICHKO, F.Ya., kand.tekhn.nauk; SKM, V.A.,, inzh.;
VISHENSKIYV I.I., inzh.
L-./
E)Terimental investigation of sa&Xe cars. TzVdy Inst.chem.met.
AN URSR 16:9-14 62. (MIRA 15:12)
(Weighing machines)

VISHENSKIYp insh.
Some remarks on the operation of the.'weig'hing mechanism of
scale-ears. Shor. nauch. trud. KGRI no.13tll2-114 262.
(MIRA 16:8)
(Scalso(Weighing instruments))

VISHVISKIY, 1. 1.
"Prolonging the Life of the Type Wheels of Baudot Receivers," Vest. s-v-.fazi,,
No.8, p. 25, 1953
Engineer of the Ty=en Telegraph
TTanslation No. 544, 30 Apr 56

X02-HUIVNIKOV, S.N.; bKICHKO. F.Ya.; Y-~Sjisllbuy, I.I.
Investigating the propulsive resistance of weighing cars.Izv.
vys. ucheb. zav.;chern. met. no.10:163-166 '60. (MIRA 13:11)
1. Dnepropetrovskiy metallurgichookiy institut.
(Blast furnaces-Equipmeat and supplies)

1 001111~6 Of -(;l1tv.

117 - i r" t t~ J

,
o A'
v
(;o I I-)
i ..
I

CHERNOMORDIK, P.M.; VISHEV K, B.Z.; VOLKOVA, A.G.; MOSKVIXA, R.I.;
KUGARO, YU.V BAVAL f,T.M.
Clinical treatment with proserine of chronic diseases of the ner-
vous system. Nevropat.paikhiat., Moskva 20 no.1:68-70 Jan-Fab 51-
(CLKL 20:6)
1. Of the Nerve Division of the Hospital for Chronic Cases imeni
Karl Marks (in consultation with S.Y.Davidenkova, ActiveRember of
the Academy of Medical Sciences USSR).

IVANOV,
Surglcal complications in acute pneumonias. Trud7 LSGKI
39:195-202 '58. (MIRA 12:8)
1. Kafedra obshchey khirurgii Leningradskogo sanitarno-
gigiyenicheakogo moditsinskogo inatituta (zav.kafedroy -
prof.I.14.Taliman).
(POLMONIA.. compl.
Burg. (RUB))

137-1957-12-23412
Translation from: Referativnyy zhurnal, Metallurgiya, 1957, Nr 12, p 8Z (USSR)
AUTHORS: Madyanov, A. M., Permitin, Ye. S., Miller, M. R., Lyutov, A. I.,
Vishevnik, V. K., Kaznevskaya, V. A.
TITLE: An Experiment in Casting an Eight-ton Ingot With Small Height-
diameter Ratio (H/D:z 0.5) F-Opyt otlivki vos'mitonno o slitka
s malym otnosheniyem vy3oty k diametru (H/D = 0. 5)n
PERIODICAL: V sb. : Novoye v liteyn. proiz-ve. Nr 2. Gor1kiy, Knigoizdat,
1957, pp 222-232
ABSTRACT: An experimental ingot of the 40-A type was cast. The small
ratio H/D= 0.5 was dictated by the conditions of forging. In order
to achieve horizontal orientation of the crystallization plane, the
following steps were taken: the exterior of the mold (M) was
covered with heat-insulating slag-wool, the bottom of the M was
cooled by air-water jets, anri the shrinkage head wa,-, heated by
an electric arc of a capacity of 1500 A. The pouring of the body
of the ingot required 300 seconds, and the pouring of the shrink-
age head (12 percent of the weight of the ingot) 210 seconds. The
solidification time was 7 hrs. The horizontal orientation of the
Card 1/2 principal crystallization plane was not achieved. A study of the

1 ~7- 1957- 1 Z -23412
An Experiment in C~aiting an'--Eight-'ten ingot, (C*Org.')
longitudinal templet-. showed &:lack of axial srortG~.nes5, and a
satisfactory macrostructure, with the shrinkage cavity open on
top. ' LiqlLiation beyond the axial zone was observed. In the
cross-sectional templets the zone of zmiall cry!-Jals occupied
20-30 mm, that of acicular crystali 50-00 mm, the remainder
being non-oriented crystals of medium magnitude. On the
cross - L3ectional templets taken from the center area and from
the area below the sink-head, large liquation-spot~ were
discovered, The heat- insulating layer around the walls of the
M proved to be detrimental, since it placed the liquation zones
further away from the area of the arc's action. The employment
of electrical heating improved the quality of the axial portion of
the ingot. Plans for the cooling of the lower section of the ingot
and for the design of a mold are presented.
G. S.
1. CPstin~-,,s-DCVC10D1.-,ent 2. Cr ntins~s -'Pest riethods Castings-
Tnot rcsults-
Card 2/2

VISlir,VLKl'fO A. K.
"Razvitle Priemnikov Infrakrannoi Radlacill' ("Development of Receptors of Infrared
Radiation"), Priroda 1948 No. 4, pp 7-1.1.

31084-66
ACC NR SOURCE CODE': IR /2- --16 028/003/026
- A-16022822 U 505 5/0272:
AUTHOR: pB!ai~lint Peter isy, Haria-VisM 14-
.or-.V W.W~ -
ORG: Institute of Physiolop3r, Medical Unlygnity,-adapast (OrvostudomarWi
Zgyetom-ET6-Uani Intozeto)
TITIE: Presence of 'true croatininell and "psoudocroatininall in the blood plasma
of the dog
SOURCS: Academia scientiarum hungaricae. Acts, physiologica, v. 28, no- 3,
1965, 265--2-72
T
10PIC TAGS: doG, blood plasma, biochemistry, animal physiology
ABSTIRACT: Tho use of Lloyd's reagent has been added to the Popper, Mandel and Mayer
(1937) method of creatinine deternination in order to fractionate the chromogon
materials present in body fluids which give a positive Jaffe reaction. The
following conclusions were drawn'. 1) in the normal dog. not more than
,56 per cent of the total chromogen in blood plasma is true creatinine, the
ramaining 44 per cent consists of pseudocreatinine. 2) The renal clearance
of true creatinine Is equal to the inulin clearance and can be used for-the
.estimation of the glomerular filtration rate. T,.~ chromoCen clarance,on
.:the other hand, is not suited for even an approximate evaluation of the
G.FR in a normal dog. 3) After nephrectomy, the chromogen concentration in

L31084-66
XCC Nl~ AT6022822
plasma rises concomitantly with the non-protein nitrogen. In the azotemic
.animal, a consistently smaller fraction cf the total chrcinogen Is made up
of pseudocreatinine and the elevation of chromogen concentration, under such
conditions, is almost ntir 1 due to an increase in, the-true creatinine level...
Orig. art* has: 3 tables* .. Origo art. in EngJ _rjPRS7
SUB CODE: 06 / SUE24 DATE: 07Jan65 / ORIG REF: 004 / OTH REFt 027
(! 0

-VIS-MIK) M. I.
Boundary vlaue problew for quasi-linear strongly elliptic systems
of equatiorm having a divergent form. Dokl.AN &SSR 138 no-3:518-
521 W 161. (MMA 14:5)
1e Predstavleno akademikom S.L,Sobolevym,,
(Boundary vlaue problems) (Differential equations, Linear)
(Functional, Elliptic)

VJggJX, 1! 1. Cand. physicarAth. Sci.
Dissertaticnt. "Yothod of Ortho,c,onal Frojecticns for Linear Elliptic Self-
Conjugate Differential Equations.* Mathematics Inst. imeni V. A. Stele-lovo Acad.
Sci. USSR, 24 Xpr. 1947.
SOs Vocheravays Movkn, Apr. 1947 (Project #17836)

VISIBVNIKI I.Z.
Date for the improvement of radioscopie diagnoofe of cancer of the
vault and jAracardial. part of the stomach, Trudy LM 53sl29-11#2
159. (MIRA 13110)
1. Kafedra rentgenologii a meditsinskoy radiologiyey.kningradskogo
sanitamo-gigiyenicheakogo meditsinskogo instituta (7;av. kafedroy -
prof, B.M. Shtern),
(STOMACH-CANC,ER) (STOMACTI-RADIOW"HY)

'-- VISHIKV M.I.
Solution to a system of quasi-linear equations having a divergent
form under periodic boundary conditions. Dokl. AN SSSR 137 no.3:
502-505 Mr 161.r (MIRA 1412)
1. Moskovokiy energetieheskiy institut.- Predstavleno akademuom
I.D.Petrovskim.
(Differential equations)

24032
h' 5 ~-f.) S/02 61/138/003/004/017
C111M33
AUTHOR: V i s-h
TITLE: Boundary ralue problems for quasilinear stronly elliptic
simultaneous equations having a divergent form
PERIODICALz Akademiya nauk SSSR, Doklady, v. 138, no. 5, 196!,
518-521
TEXTs The author proves solubility and uniqueness theorems for the
solutions of boundary value problems for a certain class of quasi-
linear systems of rlifferent,'Jal equations; these systems are characte-
rized by the fact that the zorresponding equations in variations
from a strongly elliptic operator. In the domain Dc~~ R A with boundary
1e" the system
L (u) D A,(x,D u) h(x) 0)
r.~. C~. e, ~z "' ?I
be given, where x T(x,.x x n x
1
2'
'jn) + it,, Do E. The u - (u'...,,,,u
N
and h (h h A,'~ (A A.,~( at tain vec tor
Card

2403-
S102 61/138/003/004/017
Boundary ~ralue problem--i for C! 11%335
N
values in R , where A.,(x 0) Q~ Assume that the operator L(u) ha3
....,: N
the same order 2r, in all u The solution of (1) and
Ul m-, i
~?o (X) U/ r,m (X) x (2)
rm-I
is defined as a function u which zatiofies (1) in D and (2) on
and for which ii. holds
N.(x, Vi 11'. D,,~-. T"S = Ch ~ V
~ -1 1 (3)
for an arbitrary function v which satisfies the vanishing conditions
(2) onj-,- F , -1 is the ordinary scalar product. Assume that V 0C. U,
where V 0 is the space of' the v and U is the space in which the
solution is sought. Let
A(w;v,v) [A , (x, D~w) D v, Dc4v (4)
ICY. 11Y51 1:4 A
The following conditions are formulated
Card 2/G,

WOO. , S/02 M 38/003/004/017
Boundary value problems for Clii~CC333
2 ( 2 an
11 j j 9 D J 0* (1
A (w; v, v) ~P c D w D v Oe
j,
where the summation need not be carried out over all ao with 1,"'k M,
or 2 12 CF/ 2
A(w;v,v)~ 0 Dw D V (12)
C4- 8V -
where
The condition II says that under differentiation of A with
v the order of growth decreases by 1, Ala
-respe:,,t to D n er partial
differentiation with respec" to x it does not increase The most
important part of condition II is
4
(x,De(f+z))D(.,,,v.D,,z CSA Dv]l 4
4 -1 1 /6 ( ) DOZ I
A (f+z;v,v) + MT(z) + 'C 1 .51' M, M) (7)
Card 3/C

24032
S/020/61/138/003/004/017
Boundary value problems f.-,r C"11/C333
where i. ~~ 0 is arbitrarily small; M ~ M(~,) and C are constants which
do not depend on v and z, f -- fixed. ~j is a function which vanishes
on f- together with the derivatives., Let w ~ f i- tv and J(v) =-
[A (.,D,(f,v)) -- A (x,Drf), I~,jvj , The third condition !a: there
~A rt
exists a p2 '> 1 su,-~h that
Ac_ - 'e CI(V) * M (III)
., (x, v) PC/
holds for v C.V0
The system (1) is called strongly elliptic and definite for boundary
conditions of the first boundary value problem, if M, (II), (M)
is satisfied.
Theorem 1: If the quasilinear system (1) is strongly elliptic and
definite, then the problem (1), (2) is soluble for an arbitrary
right Bidth H , 1~ a. there exists a u C-7. U which satisfies (2),
M-
Card 4/G

2 4C'e12
S10201 1/138/003/004/017
Boundary value problems for C-
.11/C333
W can be taken as H, sometimes H - L or H - L see M. J.
Vishi.k (Ref.2s DAN, 137 . No. 3 (196!))~
Theorem 21 If the condition (I.) or (I ). In the right part of which
there the summand [-.v,,v-'] , ig ~atisfled, then the solution of
the of.rongly elliptic syetoin (1) is unique In U, Assume that
A,,4(x, D u) E L Dan ~~ L i/p
P, qa C'4 + !/q 'Y - I for u(S U; see (Ref.2).
-ar ~;talerne:jtq ~7an be, mad-, for the problem (1) with m - 1 and
Simi j
A (x,D u) c~.,s (n, x N (12)
F
The solution of the problem (1), (12) is determined by the relation
p,,(x,D U) - A, (x.D Diyv*]~ Ch.vj [AV(x.D f) Dv] (13)
where f (x). x'--' D sa- islies the condi tion ~ 15) on -i is an
arbitrary element of the space V of the type W I which is not
Card 5/6 p

S102 138/003/004/017
Boundary value problems for C111 C333
C
subject to any conditions on
Finally, for a number of examples the author gives sufficient alge-
bral~ conditions for the fjnl~ibility arid uniqueness of the first and
iecond boundary value problkem in an arbitrary domain D,, Let e. g.
2 r4 dt'i
A,:,,,xDU) a,,,,r (x) (DU (D ~q u) I
rid . I Yj I If, + J 21 +
If the coefficients a,4y j (x) are bounded in D and if they possess
bounded derivatives, where
C2 (Aq~ (x. Ir,, c2 21 2) (14)
is satisfied, then the system (~~)with conditions (2) is strongly
elliptic, it holds theorem 1. W , p-2 1+2, can be taken as U.
There are 7 Soviet-bloc referencBs..,
PRESENTED: January 7, 1 1, by S, L. Sobolev, Academician
SUBMITTEDs January 4, 141
Card 6/6

VT.-HIK, if. 1.
WM/bkthem'-1cs - Zquatima, M"ereatlal Nov 1947
Mathematics - Equations, Linear
"149thods for Orthogonal Projection for General. Linear
Self-coupled Miptical Differential Bquatlons," M. 1.
Viahik, 4 pp
"Dok Ak MAW-" Vol LVIIIp No 6
Anthor limits himself to explaining the methods for
obtainin8 results for the bl-hexmonic equation
44 u(1,7 X ") - 0 In an arbitrary limited
area G. Author makes refr~,rances to Gilbert's apace.
Submitted by Academician S. L. Sobolev 4 Jun 1947.
361-27
FAA 36127

"Linear Boundary Problems for Differential Euations, if ibid.9 65p
No. 6,, 1949
Dok Ak Nauk SSSR
VisHIK applies results he obtained earlier (Dok Ak Nauk SSSR Vol IXV, No 4,
1949) to gener4lized Laplacian operator of n-dimensionsp operating in
bounded flat space. Give usual theorms of Green, Dirichlet, Hilbert, Ac.,
in their geiieralized. form for n-dimensions. Submitted by Acad S.L, Sobolev
25 Feb 149

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VISHIK., H. 1.
"Systems of 91liptic Differential Equations, and Oenoral Boundary Problems.ff
Sub 29 Nov 51,. Mathematics Inst imeni V. A. SteklvVj lead Sol USSR.
Dissertations presented for science and engineering degrees in Moscow
during 1951,
30t Sum, No. 480, 9 May 55o

VISHIK, M. I.
USSR/Kathematics - Differential Nov/Dec 51
0
Equations, Elliptic
"Strongly Elliptic Systems of Differential Equa-
tions," M. 1. Vishik, Moscow
I'Matemat Sbor" Vol XXIX (71), No 3,pp 615-676
Considers the Ist boundary-value problem for a
certain class of systems of elliptic differential
eqsof order 2m, which are called strongly
elliptic. Demonstrates that the lat boundary-
value problem for these systems possesses the
fundamental properties known for this problem in
the case of one 2d-order. Submitted 17 May 51.
190T43

- - - - - - - - - - --- - .-. - ". ~~ --- ---- -1 1
VISHIK, M. 1.
Lut';arl., Vl-hik, ff.l.
37.j

Authort Vishikp 14.1.
Titlai Cortain VourAax-~ jl-blniai Cor olliptic
Journali Doklady Ak&dor.,ii "auk S-'U, Vol.77, 1951, No.4j. P. 553
Subjoctt Matbamettics
Fromt D.S.I.R.p Oct. 1951

C: -4w, v t- e- --f, ez r T RE LF '7.
es f,

VISHIK. M. I.
Differential Equations
General boundary problems for elliptic differential equation. Trudy Mosk. mat. ob.0 No. 10
1952
Month List of ttassain Accessions, Library of Congress, November 1952. UNCLASSIFM-D.

H
VISIK, M.I.
A
On the Forst Boundary'Vlaue Example for'Elliptic Differential Equations vita
Operator Coefficients. Soobsenija Akad. Nauk. Gru7inBkoj SSR -13s 129-13( (1952).

Mathcmatti~ml Reviows
Vol. 14 No. 7
July - Auguut, 1956
Analysis,
M. IV On bOjTndHTV PfOllleill., 101 ~;Y: Q! elhplti
differelithill equations and oil the Stabilitv Ulf their sofu-
tions. I mklafly Akad. Nauk SNSIZ IN.S.) 86, &15 ("18
(1952), Wim,iiall)
L,~-t 1, 1)4- a diffetenlial i)lwtav,r
W I
Oxi tlxj
where it is a fmictimi flefitied ill rvat it.!;pme with value'S ill
A'-flimensional unitary -;parv (-A-;%I;tt litodtict (11(x), p(x))) t.
Mill 311 thV tf)(1116111h itit, NX N ( 1111161111111, Imitlices. Th,
vahw
(1) 1.11 t- At ill ;t Ivyifill P with 111,111111;lry I' I'lu 1"; (2)
(ill P,; (3) EE'j vos (P, Xj')l(1dxj+Qu - jr, ('11 1".
0 friv F',, I E"~-- 2if v Ific interior normal; 0 a cosititmott.;
lhicm tilit-raltir hom it) L,(I',),
> 2 (it - I Vn.) The of M-1 a I or 1, is sIll 11 fo!zcd to be ellipt ic ill
life Olat life bilillf"ll. foltil
ff. (X)of/0X,, og1i1x')'1x
(c>P)' Ifef'.. Aff. D is lJ;i;chlvt's intepral and
Yl D ff co, f com,
It
Th it I .]fill lilt, aflj4fillt I'llplik'111 I "ll'tillill! a Fredlill tit
11.111 111, 1 %% lit'll it c"i 4~i I lit, ioll u 114-prilds ill a certaiti
.1111y fill tit, I o' IlO iclll~. f)f L atiff the fillw-
Ir 4.111 IMP
ms I I v. palffilig el"vilvaltle prol)[011
11 1 . '11'i it I.- %'.I lilv., %vil" v tval pmts aic lj,)Ilft(lcfl frfjrll
1"w 0.111)(1)

VRik, M. 1. On systenis of elliptic differcutini vilisatimus
H-Wipukitic-Al Reviesin nnd their veneml botindary problems. 11-p-Iii Mat.,m
111 110. 11 Naid. (N.S.) 8, im. I(5-0. 181 187 (Viv iaw
Atilhor's mimmat-N, of a lllv'i~ (if 1wo allio It
1) lo53
Anil, Mal. !-4)(imik N.S. 29(7t), 615 676 (I95I);Trmbj(T(v.I.0v-
(HAV. 1, 187-2,16 (1952); lht-:-v Rev. 14, 174 '17 1

59T 54
USSR/Mathematics - Elliptic Operators I Mar 53
"Strongly Elliptical Differential Operators,"
L. N. Slobodentskiy
DAN SSSR, Vol 89, No 1, PP 13-15
Discussion of the general linear differential op-
erator of the type described as strongly elliptical
by M. I. Vishik (Mat Sbornik, 29 (71), No 3, 615
(1951)). Presented by Acad V. I. Smirnov 2 Jan 53.
259T54

U.SSR/Mathematics - Elliptic I Nov 53
Equations
"First Boundary Problem for Elliptic Equations That
Degenerate on the Boundary of the Region,"'M. I.
Vishik
DAN SSSR, Vol 93, No 1, pp 9-12
States that this work was influenced by M. V.
Keldysh's investig%tion (DAN, 77, No ?, 1951) of
the f i rqt bourtlary 13ro'hl em f or uxx #-ymuyy in a re-
gion part of whose bonndary Iles ori yc), Discusses
certain problems for the g6neral case. Employs
275T70
functional methods, which enables one to clarify
the structure of the resolving operator and to
find the conditions sufficient for unique resolv-
ability and resolvents. Presented by Acad S. L.
Sobolev 22 Aug 53.

TISHIK, X.I.; SOBOW. S.16.. akadsmik.
Boundary problems for elliptic equations degenerating at the limit of a
domain. DokLAII SSSR 93 no.2:225-228 N '53. (MMA 6:10)
1. Akadenlya nank SSSR (for Sobolev). (Differential equations)

VISHIK, 14. 1.
"Certain Problerris of 11heories of Boundary-Value Problem's for Elliptic
Differential Equations," Uspekhi Materaticheskikh Nauk Vol 8, No 2 (54), pp 3.59-1r)7.

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VISITKt 14. 1.
USSRhathematics - Topology
Card t 1/1
Authors Vishik, M. I.
Title Mixed boundary problems and an approximate method of their solutions
Periodical Dokl. AN SSSR, 97, Ed. 2, 193 - 196, July 1954
Abstract A solution of a mixed boundary problem, having a strong elleptical spat-
ial part, is presented. Galerkin's method of approximate solutions of
mixed (with the time) boundary problems is outlined and suggosted for
application to the problem mentioned. Eight references: 1-USSR since
1938.
Institution : The V. M. Molotov Energetics Institute, Moscow
Presented by : Academician S. L. Sobolev, April 2-4, 1954

M.
US-'R/ Hathemiatics - Boundary problems
Card 1/1 1 Pub. 22 - 1/40
Authors I Vishik, M. I.
Title : Mixed boundary problem for equations with the first derivative with
respect to time and an approximate method for their solution
Periodical : Dok. An SSSR 99/2,, 189-192, 11" 11, 1954
Abstract i An approximate method is described for the solution of mixed boundary
problems expressed by differential equations whose first derivatives
are taken with respect to time* A few cases of boundary problems (with
homogeneous and heterogeneous boundaries) are analyzed. The analysis
is accomplished in the form of theorems, proofs of which are presentede
Four USSR references (1930-1954)o
Institution : Moscow Power Institute im, V, M. Molotov
Presented bys Academician S. L. Sobolevp June 7o 1954

C
111V
USSRA-11athems ties - Nixed boundary problrzs
Card 1/1 Pub. 22 - 2/54
Authors I Vishik, M. 1.
Title I I~Iixcd boundary problexz for the systems of differential equations con-
taining tho second derivative with respect to time, and an approximate
method of their solutionn
Periodical i Dok. 1JT SEER 10013. 409-412. Tan. 21. 1955
P, at
Abstract I A system of differential. e(juationG Lu--~:Amf(x,t.~') YBr'(x,t,e'()a4z (x1tV
,;/. J,
u~h(x,t), is considered in connection.with a solution of the boundary
problem for a cylinder CvD .4(0~:t-:l); D is ths.; bounded region in the E(n)
with the bordcr r. T~c --olutior, is found by the method of approxiiiations for
various caces deteriAneA by conditions of the differencial operators A. B.
and C (come or thqzi nre stronr_ly elliptical operators) . Nine reftrences:
8 USM and 1 USA (1949-1953)-
Institution I%Ioocow, V. M. Molotov Poi;--r In,'titAtto
Presenteu by: Ac3demician E. L. boboleT,, 0~:tobcr 23, 1954

VISHII, M.I.; LADYZHENSKAYA, O.A.
--
-'.~ ~1 -, . ...... r~" .
' 11-;-~ -Boundary problems for equations with partial derivatives and
certain classes of operator equations. Usp.mat.nank 11 ao.6:41,-
97 N-D 156, (MI2A 10:3)
(Differential equations, Partial) (Operators (Mathematics))

SUBJECT USSR/YATHEMATICS/Differential equations CARD 1/1 PG - 487
AUTHOR BARENBLITT G.I., VAIK M.I.
TITLE On the finite velocity of propagation for nonsteady filtration
of fluids and gases.
PERIODICAL Priklad.Mat.Mech. 20, 411-417 (1956)
reviewed 1/1957
Let the ground water propagate by plane waves. Then the pressure head
satisfies the equation 9H ~2 2
yt- m a 'a x2
where a is a constant which depends on the properties of the porous medium
and the fluid. Let-the initial and boundary conditions be
H(X,O) - ~(X), H(O,t) = Y(t).
Then the following is proveds The functions ~(')(x), are assumed
to correspond to the solution R(l)(x,t) and the functions (~ 2 (x),_qS2)(t)
are to correspond to the solution 9 (2) t If then
$(2) (X)
it follows: X(2) (xjt);;~H()(x,t).
This monotone dependence of the solution on the initial and boundary conditions
is applied to prove the well-known fact that in this case the velocity of
propagation of the lldisturbance~ (wave zone) is finite.
INSTITUTIONs Moscow.

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15HIK, m-1,
SUBJECT USSR/MATHEnTICS/Funational analysis CARD 1/3 PG - 303
AUTHOR VI9IK M.I.
TITLE On the first boundary problem for elliptic equations without
limitations on the finiteness of the Dirichlet integral.
PERIODICAL Doklady Akad. Nauk 107, 781-784 (1956)
reviewed 10/1956
The author solves the Dirichlet problem for the equation A u - h for very
weak assumptions on the right hand side h and on the boundary function. The
'general scheme in free of the usual restriction to the solutions with a finite
Dirichlet integral. Definitioamt (a,b) f a(x)b(x)dx # x (xil ... x,)#
-1XV,f
Gu as (rd u/ a x1 '~u/ ~ Xn) IB(Gu'(;T) - IL
a0 is the not of the regular functions with compact carriers in -Q no R0 1*-fGCo*
R (It) in the space R with the topology'M . R*(IC') to the space being dual
0 0 0
to R 000. is the closure of the set R 0 In the topologylr . The following
topologies are introduced: 1. 11T I -the Diriohlet topology induced by the
Au 112 lef B(Gu,Gu)l 2. 1r that which in stronger than
norm I MEM 2

Doklady Akad. Nauk 107, 781-784 (1956) CLRD 2/3 PG - 303
3- the local convex topology Ir 3 given by the countable sequence of the
meminorms Gu 112 def 2 4
IV_Wn 2:(,au/ axi) dx, where _an j %)- 192p. so
is the sequence of the subdomains of.Q n which fill the domain X2 ni 4.-M3