Solvability of Two-Dimensional Integral Equations with Monotone Nonlinearity

被引：0

作者：

Khachatryan A.K. ^{[1
]}

Khachatryan K.A. ^{[2
,3
,4
]}

Petrosyan H.S. ^{[1
,2
]}

机构：

[1] National Agrarian University RA, 74, Teryana St, Yerevan

[2] Lomonosov Moscow State University, Moscow

[3] Institute of Mathematics NAS Armenia, Yerevan

[4] Yerevan State University, Yerevan

来源：

Journal of Mathematical Sciences | 2021年 / 257卷 / 5期

关键词：

D O I：

10.1007/s10958-021-05512-1

中图分类号：

学科分类号：

摘要：

We consider a class of two-dimensional integral equations in ℝ2 with monotone nonlinear terms and prove the existence of a nonnegative bounded solution. We study the asymptotic behavior of this solution with respect to each variable. The result is illustrated by an example. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：720 / 731

页数：11

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