Abstract
In this paper, we investigate the existence, uniqueness of almost automorphic in one-dimensional distribution mild solution for semilinear stochastic differential equations driven by Lévy noise. The semigroup theory, fixed point theorem and stochastic analysis technique are the main tools in carrying out proof. Finally, we give one example to illustrate the main findings.
Funding Statement
This research is supported by the National Natural Science Foundation of China (Grant No 11501507).
Citation
Zhinan Xia. "Almost automorphic solutions of semilinear stochastic hyperbolic differential equations in intermediate space." Kodai Math. J. 40 (3) 492 - 517, October 2017. https://doi.org/10.2996/kmj/1509415229
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