Solvability of Some Classes of Nonlinear Integro-Differential Equations with Noncompact Operator

被引：1

作者：

Khachatryan, Kh. A. ^{[1
]}

Khachatryan, E. A. ^{[2
]}

机构：

[1] Natl Acad Sci Armenia, Inst Math, Pr Bagramyana 24b, Erevan 0019, Armenia

[2] Armenian State Agrarian Univ, Erevan 0009, Armenia

来源：

RUSSIAN MATHEMATICS | 2011年 / 55卷 / 01期

关键词：

nonlinearity; Urysohn-type equation; Caratheodory condition; Sobolev space; Hammerstein-type equation; Wiener-Hopf operator; pointwise convergence;

D O I：

10.3103/S1066369X11010099

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a class of nonlinear integrodifferential equations with a noncompact Urysohn-type operator we prove the existence of nonnegative bounded solutions. We study the asymptotic behavior of solutions at infinity. We give some examples that are of practical interest.

引用

页码：79 / 87

页数：9

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