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

Boundary value problems

Shengli Xie¹ 

[1] Department of Mathematics and Physics, Anhui University of Architecture, Hefei, P.R. China

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

DOI  :  10.1186/1687-2770-2013-203

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY