SCIENTIFIC ABSTRACT ILIN, A.I. - ILIN, A.V.

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SCIENTIFIC ABSTRACT
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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(~:)