Existence results for impulsive neutral stochastic functional integro-differential inclusions with infinite delays

Advances in Difference Equations

Jong Yeoul Park¹  Jae Ug Jeong² 

[1] Department of Mathematics, Busan National Universeity, Busan, South Korea;Department of Mathematics, Dongeui University, Busan, South Korea

关键词: impulsive equation;    stochastic functional inclusion;    mild solution;    infinite delay;   

DOI  :  10.1186/1687-1847-2014-17

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove the existence of mild solutions for a class of impulsive neutral stochastic functional integro-differential inclusions with infinite delays in Hilbert spaces. The results are obtained by using the fixed-point theorem for multi-valued operators due to Dhage. An example is provided to illustrate the theory. MSC:93B05, 93E03.

【 授权许可】

CC BY