Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space

DOI10.1186/1687-1847-2011-9zbMath1266.60101OpenAlexW2118489595WikidataQ59270232 ScholiaQ59270232MaRDI QIDQ1951034

Yong-Kui Chang, Zhi-Han Zhao, Gaston Mandata N'Guérékata

Publication date: 28 May 2013

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2011-9

zbMATH Keywords

stochastic differential equationsmild solutionssquare-mean almost automorphic processes

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (9)

A modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equations ⋮ Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations ⋮ Stability of solutions for generalized fractional differential problems by applying significant inequality estimates ⋮ Existence results for hybrid fractional neutral differential equations ⋮ On almost automorphic mild solutions for nonautonomous stochastic evolution equations ⋮ Positive solutions of \(m\)-point multi-term fractional integral BVP involving time-delay for fractional differential equations ⋮ Asymptotic behavior of solutions to abstract stochastic fractional partial integrodifferential equations ⋮ Existence and stability of \(\mu\)-pseudo almost automorphic solutions for stochastic evolution equations ⋮ Multi-term time-fractional stochastic differential equations with non-Lipschitz coefficients

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