Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations

DOI10.1016/j.jde.2020.03.014zbMath1444.34070arXiv1702.02718OpenAlexW3012384581MaRDI QIDQ2180593

David N. Cheban, Zhenxin Liu

Publication date: 14 May 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02718

zbMATH Keywords

stochastic differential equationasymptotic stabilityquasi-periodic solutionalmost automorphic solutionPoisson stable solutionBirkhoff recurrent solutionBohr/Levitan almost periodic solution

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems with randomness (34F05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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