Article ID Journal Published Year Pages File Type
4590528 Journal of Functional Analysis 2014 35 Pages PDF
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
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