Solvability of impulsive partial neutral second-order functional integro-differential equations with infinite delay
Department of Mathematics and Physics, Anhui University of Architecture, Zipeng Road, Hefei, Anhui, 230601, P.R. China
Boundary Value Problems 2013, 2013:203 doi:10.1186/1687-2770-2013-203Published: 9 September 2013
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.