Solutions to systems of linear Fredholm integral equations of the third kind

被引：4

作者：

Imanaliev, M. I. ^{[1
]}

Asanov, A.

机构：

[1] Kyrgyz Acad Sci, Inst Math, Pr Chui 265A, Bishkek 720071, Kyrgyzstan

来源：

DOKLADY MATHEMATICS | 2010年 / 81卷 / 01期

关键词：

DOKLADY Mathematic; Matrix Kernel; Volterra Integral Equation; Volterra Equation; Integral Equa;

D O I：

10.1134/S1064562410010321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A study was conducted to find solutions to systems of linear Fredholm integral equations of the third kind. The existence of a multiparameter family of solutions was proved in equation 2 for linear Volterra integral equations of the first and third kinds with smooth kernels. The regularization and uniqueness of solutions to systems of nonlinear Volterra integral equations of the third kind were investigated in equation 7. It was assumed that detA(t) vanished on [t0, T], while analyzing the uniqueness, stability estimation, and regularization of solutions to system.

引用

页码：115 / 118

页数：4

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