Geodesic
On the theory of upper and lower solutions and the solvability of quasilinear integro-differential equations
Sbornik. Mathematics, Tome 35 (1979) no. 4, pp. 499-507 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {On the theory of upper and lower solutions and the solvability of quasilinear integro-differential equations},
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V. P. Polityukov. On the theory of upper and lower solutions and the solvability of quasilinear integro-differential equations. Sbornik. Mathematics, Tome 35 (1979) no. 4, pp. 499-507. http://geodesic.mathdoc.fr/item/SM_1979_35_4_a3/

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