On some properties of the Fredholm-type integral algebraic equations

被引：2
|
作者：
Chistyakov, Viktor F. [1 ]
Chistyakova, Elena V. [1 ]
机构：
[1] RAS, SB, Inst Syst Dynam & Control Theory, Lab Differential Equat & Control Syst, Irkutsk, Russia
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年
基金：
俄罗斯基础研究基金会;
关键词：
Fredholm equations; index; integral equations; integral-algebraic equations;
D O I：
10.1002/mma.6747
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study systems of Fredholm integral equations with a singular matrix multiplying the leading part. We address the solvability issues of such systems with separable kernels and, similarly to differential-algebraic and integral algebraic equations, introduce the notion of index.
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页数：10
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