Existence of solutions for perturbed abstract measure functional differential equations

Advances in Difference Equations

Jitao Sun¹  Xiaojun Wan¹ 

[1] Department of Mathematics, Tongji University, Shanghai, China

关键词: Banach Space;    Signed Measure;    Abstract Measure;    Fixed Point Theorem;    Existence Theorem;   

DOI  :  10.1186/1687-1847-2011-67

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY