Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590528 | Journal of Functional Analysis | 2014 | 35 Pages |
Abstract
We introduce the concepts of Poisson square-mean almost automorphy and almost automorphy in distribution. Under suitable conditions on the coefficients, we establish the existence of solutions which are almost automorphic in distribution for some semilinear stochastic differential equations with infinite dimensional Lévy noise. We further discuss the global asymptotic stability of these solutions. Finally, to illustrate the theoretical results obtained in this paper, we give several examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Zhenxin Liu, Kai Sun,