On the solvability of a class of Volterra operator equations of the first kind with piecewise continuous kernels

被引：0
|
作者：
N. A. Sidorov
D. N. Sidorov
机构：
[1] Irkutsk State University,Melentiev Energy Systems Institute, Siberian Branch
[2] Russian Academy of Sciences,undefined
[3] Irkutsk State University,undefined
[4] Irkutsk State Technical Research University,undefined
来源：
Mathematical Notes | 2014年 / 96卷
关键词：
Volterra operator equation; Banach space; asymptotic approximation; successive approximation method; Fredholm point; Fredholm operator; Jordan set;
D O I：
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学科分类号：
摘要：
We obtain sufficient conditions for the existence and uniqueness of continuous solutions of Volterra operator equations of the first kind with piecewise determined kernels. For the case in which the solution is not unique, we prove existence theorems for the parametric families of solutions and present their asymptotics in the form of logarithmic polynomials.
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页码：811 / 826
页数：15
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