Approximate controllability of impulsive partial neutral stochastic functional integro-differential inclusions with infinite delay

Advances in Difference Equations

Fangxia Lu¹  Zuomao Yan² 

[1] Department of Mathematics, Hexi University, Zhangye, P.R. China;School of Mathematics and Statistics, Lanzhou University, Lanzhou, P.R. China

关键词: approximate controllability;    impulsive partial neutral stochastic functional integro-differential inclusions;    infinite delay;    analytic resolvent operator;    fixed point;    34A37;    60H10;    34K50;    93B05;   

DOI  :  10.1186/s13662-015-0368-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, the approximate controllability of partial neutral stochastic functional integro-differential inclusions with infinite delay and impulsive effects in Hilbert spaces is considered. By using Hölder’s inequality, stochastic analysis and fixed point strategy with the properties of analytic resolvent operator, a new set of sufficient conditions is formulated, which guarantees the approximate controllability of the nonlinear impulsive stochastic system. The results are obtained under the assumption that the associated linear system is approximately controllable. An example is given to illustrate our results.

【 授权许可】

CC BY