On some properties of systems of Volterra integral equations of the fourth kind with kernel of convolution type

被引：0

作者：

V. F. Chistyakov

机构：

[1] Russian Academy of Sciences,Institute of System Dynamics and Control Theory, Siberian Branch

来源：

Mathematical Notes | 2006年 / 80卷

关键词：

Volterra integral equation; convolution-type kernel; left regularizing operator; Fredholm operator; integro-differential operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the system of integral equations of the form Ax +V x = Ψ, where V is the Volterra operator with kernel of convolution type and A is a constant matrix, det A = 0. We prove an existence theorem and establish necessary and sufficient conditions for the kernel of the operator of the system to be trivial.

引用

页码：109 / 113

页数：4

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