On the Approximate Solution of a Class of Nonlinear Multidimensional Weakly Singular Integral Equations

被引：0

作者：

Agachev, Yu. R. ^{[1
]}

Gubaidullina, R. K. ^{[1
]}

机构：

[1] Kazan Volga Reg Fed Univ, Lobachevskii Inst Math & Mech, Kazan 420008, Tatarstan, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2020年 / 41卷 / 11期

关键词：

weakly singular equation; nonlinear multidimensional integral equation; projection method; Galerkin method;

D O I：

10.1134/S1995080220110037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, for a class of nonlinear weakly singular integral equations defined in the space of quadratically summable functions in a circle, the rationale for the general projection method is given. Using the obtained general results, the convergence of the well-known Galerkin method is proved.

引用

页码：2103 / 2109

页数：7

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