Boundary-Value Problems for Systems of Integrodifferential Equations

被引：0

作者：

Boichuk O.A. ^{[1
]}

Holovats’ka I.A. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian National Academy of Sciences, 3 Tereshchenkivs’ka Str., Kyiv

来源：

Journal of Mathematical Sciences | 2014年 / 203卷 / 3期

关键词：

Vector Function; Integrodifferential Equation; Impulsive Action; Dimensional Column Vector; Penrose Pseudoinverse;

D O I：

10.1007/s10958-014-2135-1

中图分类号：

学科分类号：

摘要：

We establish necessary and sufficient conditions for the existence of solutions of a weakly nonlinear boundary-value problem for a system of integrodifferential equations. By the methods of the theory of pseudoinverse matrices, we obtain necessary and sufficient conditions for the existence of solutions of systems of linear integrodifferential equations with impulsive action at fixed times. © 2014, Springer Science+Business Media New York.

引用

页码：306 / 321

页数：15

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