Abstract
In this paper, using exponential stable property, the stochastic analysis techniques and a fixed-point theorem for condensing maps, we obtain the existence results of piecewise weighted pseudo almost periodic in distribution mild solutions for a class of impulsive partial stochastic differential equations driven by Lévy noise in Hilbert spaces under non-Lipschitz conditions. Furthermore, the exponential stable of mild solution in mean square is investigated. Finally, an example is presented to illustrate the results.
Funding Statement
This work is supported by the National Natural Science
Foundation of China (11461019) and the innovation Foundation of the Higher Education
Institutions of Gansu Province, China (2021).
Acknowledgments
The author express gratitude to the reviewers for fruitful comments and suggestions.
Citation
Fangxia Lu. "Exponential Stable Behavior of a Class of Impulsive Partial Stochastic Differential Equations Driven by Lévy Noise." Taiwanese J. Math. 25 (6) 1261 - 1303, December, 2021. https://doi.org/10.11650/tjm/210601
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