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Mathematics of the USSR-Sbornik, 1979, Volume 35, Issue 4, Pages 499–507
DOI: https://doi.org/10.1070/SM1979v035n04ABEH001568 (Mi sm2645) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the theory of upper and lower solutions and the solvability of quasilinear integro-differential equations

V. P. Polityukov
English version PDF (529 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1979v035n04ABEH001568
Abstract: In this paper nonlinear integro-differential equations of the type $\partial u/\partial t-\Delta u=\Phi(x,t,u,F(u))$ are considered, where $F(u)$ is a nonlinear integral operator.
The concepts of upper and lower solutions of problems for nonlinear integro-differential equations are defined, and based on this new solvability criteria for these problems are obtained. Nonstationary, as well as stationary, integro-differential equations are considered.
Bibliography: 10 titles.
Received: 18.11.1977
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1978, Volume 107(149), Number 2(10), Pages 218–226
Bibliographic databases:
UDC: 517.948.34
MSC: 45K05
Language: English
Original paper language: Russian
Citation: V. P. Polityukov, “On the theory of upper and lower solutions and the solvability of quasilinear integro-differential equations”, Mat. Sb. (N.S.), 107(149):2(10) (1978), 218–226; Math. USSR-Sb., 35:4 (1979), 499–507
Citation in format AMSBIB
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\by V.~P.~Polityukov
\paper On the theory of upper and lower solutions and the solvability of quasilinear integro-differential equations
\jour Mat. Sb. (N.S.)
\yr 1978
\vol 107(149)
\issue 2(10)
\pages 218--226
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=512008}
\zmath{https://zbmath.org/?q=an:0431.45010|0413.45007}
\transl
\jour Math. USSR-Sb.
\yr 1979
\vol 35
\issue 4
\pages 499--507
\crossref{https://doi.org/10.1070/SM1979v035n04ABEH001568}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JJ04900004}
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  • https://doi.org/10.1070/SM1979v035n04ABEH001568
  • https://www.mathnet.ru/eng/sm/v149/i2/p218
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:388
    Russian version PDF:117
    English version PDF:7
    References:55
    First page:1
     
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