Existence of solutions for perturbed abstract measure functional differential equations

Xiaojun Wan, Jitao Sun
2011 Advances in Difference Equations  
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
more » ... n to illustrate the effectiveness of our existence theorem of solutions.
doi:10.1186/1687-1847-2011-67 fatcat:p27wrgevmrgazmobzadcrvhniq