Almost periodic solutions for stochastic differential equations with exponential dichotomy driven by Levy noise

Yan Wang

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arXiv · 1404.6621

Almost periodic solutions for stochastic differential equations with exponential dichotomy driven by Levy noise

Yan Wang

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Abstract

In this paper, we study almost periodic solutions for semilinear stochastic differential equations driven by Lévy noise with exponential dichotomy property. Under suitable conditions on the coefficients, we obtain the existence and uniqueness of bounded solutions. Furthermore, this unique bounded solution is almost periodic in distribution under slightly stronger conditions. We also give two examples to illustrate our results.

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BibTeX RIS

Yan Wang. 2014-04-26. Almost periodic solutions for stochastic differential equations with exponential dichotomy driven by Levy noise. https://arxiv.org/abs/1404.6621

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