Singular Cauchy Initial Value Problem for Certain Classes of Integro-Differential Equations

被引:0
作者
Zdeněk Šmarda
机构
[1] Brno University of Technology,Department of Mathematics, Faculty of Electrical Engineering and Communication
来源
Advances in Difference Equations | / 2010卷
关键词
Differential Equation; Banach Space; Singular Point; Point Theorem; Fixed Point Theorem;
D O I
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中图分类号
学科分类号
摘要
The existence and uniqueness of solutions and asymptotic estimate of solution formulas are studied for the following initial value problem: [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] is a constant and [inline-graphic not available: see fulltext]. An approach which combines topological method of T. Ważewski and Schauder's fixed point theorem is used.
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