Open Access Research

Solvability of impulsive partial neutral second-order functional integro-differential equations with infinite delay

Shengli Xie

Author Affiliations

Department of Mathematics and Physics, Anhui University of Architecture, Zipeng Road, Hefei, Anhui, 230601, P.R. China

Boundary Value Problems 2013, 2013:203  doi:10.1186/1687-2770-2013-203

Published: 9 September 2013

Abstract

Using the Kuratowski measure of noncompactness and progressive estimation method, we obtain the existence results of mild solutions for impulsive partial neutral second-order functional integro-differential equations with infinite delay in Banach spaces. The compactness condition of the impulsive term, some restrictive conditions on a priori estimation and noncompactness measure estimation have been deleted. Our conditions are simple and our results essentially improve and extend some known results. As applications, some examples are provided to illustrate the obtained results.

MSC: 34K30, 34K40, 35R10, 47D09.

Keywords:
impulsive partial neutral functional integro-differential equations; mild solutions; fixed point; Banach spaces