Abstract
The main purpose of this paper is to study a more general concept of uniform stability in mean in which the uniform behavior in the classical sense is replaced by a weaker requirement with respect to some probability measure. This concept includes, as particular cases, the concepts of uniform exponential stability in mean and uniform polynomial stability in mean. Extending techniques employed in the deterministic case, we obtain variants of some results for the general cases of uniform stability in mean for stochastic skew-evolution semiflows in Banach spaces.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference20 articles.
1. Exponential Instability of Skew-Evolution Semiflows in Banach Spaces;Megan;Stud. Univ. Babes-Bolyai Ser. Math.,2008
2. On nonuniform dichotomy for stochastic skew-evolution semiflows in Hilbert spaces
3. Uniform exponential dichotomy of stochastic cocycles
4. Random Dynamical Systems in Springer Monographs in Mathematics;Arnold,1998
5. Stochastic Equations in infinite dimensions;Prato,1992
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献