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January 3, 2017
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July 31, 2000
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December 31, 1967
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-ACCESSION NR: AP4023076 rL JU (P, (P, 4 1 AP k3. (P. PES, t'> o; M (A 0) f(P); du Al (P. 1), (P, t) f dy JX F where rs du (P, 4) W Y, + are b-6unded for arq JI -f4ni t e-1~1.0. Here 14: = 'L' !k is the coefficient of thermal conductivity; c is the a,2 C, 4 P. specific heat; j0 is the density. The functions Cu(P, t)j~ a-ad are the &(P' t))2 li miting values as the surface S is approached, from the interior and exterior, :respectively; n is the normal, at the point PeS; g,(Pgt) and g2(Pjt) are functions P idefined on S and f(P) is a function defined everywhere. The case where f ( P) (P 0 E 9. (P E 6 is shown to have only the zero solution* The more -geners, case wheie'j P*t) ~0 is considered. The problem is reduced to the 2 c rd 2 ACP,ESSION NR: AP4023078 :solution of integral equations. Solutions of the form P, < a aft'ald + Ars, go> 6, "m Const 0 required. Theo solutions are obtained by or :using the methods of Laplace trdnoforme and successive approximations. Orig. art. whas: 39 equations. .~ASSOCIATION: Tbilisskiy gosudarstvermy*y:universitet (Tbilisi State University) ,SUBMITTED: 18Feb63 ~DATE ACQt IOApr64 EITCL-. 00 ~SUB CODE: My PH NO,REP SOV.- 015 OTRR-. 000 ------------ ---------- - ------ ACCESSION NR: AP4045201 B/0251/64/035/002/0271/0276 ~AUTHOR: Napetvaridze, 0.1. 'TITLE: An approximate solution to the third boundary problem of the theory of heat conductivity SOURCE: AN GruzSSR. Soobshchenlya, v. 35, no. 2, 1964, VI-716 TOPIC TAGS: differential. equation, boundary problem, boundary value problem approxf- mation, heat conductivity, partial differential equation ABSTRACT: Let B1 be a region of three-dimensional space, having a Lyapunov boundary S11 The present paper Is ev I inding a function u(P, Q satisfying a U (P, 0M -V, 10, 1 + I. (P. 1). P E D'. 0 < I < (2) o