文章基本信息

标题：Existence of solutions for perturbed abstract measure functional differential equations
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作者：Xiaojun Wan ; Jitao Sun
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2011
卷号：2011
期号：1
页码：67
DOI：10.1186/1687-1847-2011-67
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this article, we investigate existence of solutions for perturbed abstract measure functional differential equations. Based on the Arzelà-Ascoli theorem and the fixed point theorem, we give sufficient conditions for existence of solutions for a class of perturbed abstract measure functional differential equations. Our system includes the systems studied in some previous articles as special cases and our sufficient conditions for existence of solutions are less conservative. An example is given to illustrate the effectiveness of our existence theorem of solutions.
关键词：Banach Space ; Signed Measure ; Abstract Measure ; Fixed Point Theorem ; Existence Theorem