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- W3140753006 abstract "In this paper, we use a unified framework to study Poisson stable (including stationary, periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent, almost recurrent in the sense of Bebutov, Levitan almost periodic, pseudo-periodic, pseudo-recurrent and Poisson stable) solutions for semilinear stochastic differential equations driven by infinite dimensional Lévy noise with large jumps. Under suitable conditions on drift, diffusion and jump coefficients, we prove that there exist solutions which inherit the Poisson stability of coefficients. Further we show that these solutions are globally asymptotically stable in square-mean sense. Finally, we illustrate our theoretical results by several examples." @default.
- W3140753006 created "2021-04-13" @default.
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- W3140753006 date "2021-03-25" @default.
- W3140753006 modified "2023-10-16" @default.
- W3140753006 title "Poisson Stable Solutions for Stochastic Differential Equations with Lévy Noise" @default.
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- W3140753006 doi "https://doi.org/10.1007/s10114-021-0107-1" @default.
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