Poisson stable solutions for stochastic differential equations with Lévy noise (Q2075425)
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scientific article
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| English | Poisson stable solutions for stochastic differential equations with Lévy noise |
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Poisson stable solutions for stochastic differential equations with Lévy noise (English)
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14 February 2022
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In this paper the authors study the Poisson stability of the mild solutions for some semilinear stochastic differential equations driven by infinite dimensional Lévy noise with large jumps. The global asymptotic stability for solutions is also studied. The properties of Lévy processes, the Lévy-Itô decomposition theorem and estimates for solutions are used.
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stochastic differential equation
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Lévy noise
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periodic solution
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quasi-periodic solution
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almost periodic solution
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Levitan almost periodic solution
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almost automorphic solution
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Birkhoff recurrent solution
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Poisson stable solution
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asymptotic stability
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