A System of Integro-Differential Equations of Convolution Type with Power Nonlinearity

被引：0

作者：

Askhabov S.N. ^{[1
,2
]}

机构：

[1] Chechen State Pedagogical University, Grozny

[2] Chechen State University, Grozny

来源：

Journal of Applied and Industrial Mathematics | 2021年 / 15卷 / 3期

基金：

俄罗斯基础研究基金会;

关键词：

convolution; power nonlinearity; system of integro-differential equations;

D O I：

10.1134/S1990478921030017

中图分类号：

学科分类号：

摘要：

Abstract: The method of weighted metrics in a cone of the space of continuous functions is used toprove a global theorem on the existence and uniqueness of a nonnegative nontrivial solution fora system of integro-differential equations of convolution type with power nonlinearity. Wedemonstrate that the solution can be found by the method of successive approximations of thePicard type. We also obtain some exact a priori estimates for solution. © 2021, Pleiades Publishing, Ltd.

引用

页码：365 / 375

页数：10

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