Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418439 | Journal of Mathematical Analysis and Applications | 2014 | 18 Pages |
Abstract
In this paper, a general second order integro-differential evolution equation with memory driven by multiplicative noise is considered. We prove the existence of global mild solution and asymptotic stability of the zero solution using Lyapunov function techniques. Moreover, we discuss three examples to show that the asymptotic stability results can be applied to various partial differential equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fei Liang, Zhenhua Guo,