Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899278 | Journal of Mathematical Analysis and Applications | 2018 | 20 Pages |
Abstract
In this paper, we investigate the existence and exponential stability of mild solutions for a class of impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup in Hilbert spaces. Sufficient conditions for the existence of mild solutions are obtained using the Hausdorff measure of noncompactness and the Mönch fixed point theorem. Further, we establish a new impulsive-integral inequality to prove the exponential stability of mild solutions in the mean square moment. Finally, an example is presented to illustrate our obtained results.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Sufang Deng, Xiao-Bao Shu, Jianzhong Mao,