Existence and exponential stability of almost automorphic mild solutions for stochastic functional differential equations

DOI10.1080/17442508.2010.533375zbMath1221.60078OpenAlexW2042053665MaRDI QIDQ3017922

Junfei Cao, Zaitang Huang, Qi-Gui Yang

Publication date: 20 July 2011

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2010.533375

zbMATH Keywords

exponential stabilityBanach contraction principleexistence and uniquenessstochastic functional differential equationsquadratic-mean almost automorphic solution

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic stability in control theory (93E15)

Related Items (17)

Besicovitch almost automorphic stochastic processes in distribution and an application to Clifford-valued stochastic neural networks ⋮ Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations ⋮ Doubly-weighted pseudo almost automorphic solutions for nonlinear stochastic differential equations driven by Lévy noise ⋮ Almost automorphic solutions to some stochastic functional differential equations with delay ⋮ Affine periodic solutions for some stochastic differential equations ⋮ Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations ⋮ The doubly weighted pseudo‐almost automorphic mild solutions to a class of stochastic dynamic equations ⋮ On almost automorphic mild solutions for nonautonomous stochastic evolution equations ⋮ Existence of square-mean almost automorphic solutions to stochastic functional integrodifferential equations in Hilbert spaces ⋮ Asymptotically almost periodic solutions for a class of stochastic functional differential equations ⋮ Asymptotic behavior of solutions to abstract stochastic fractional partial integrodifferential equations ⋮ Pseudo almost automorphic in distribution solutions of semilinear stochastic integro-differential equations by measure theory ⋮ Stepanov-like pseudo almost automorphic solutions to some stochastic differential equations ⋮ Unnamed Item ⋮ Existence and stability of \(\mu\)-pseudo almost automorphic solutions for stochastic evolution equations ⋮ Weighted pseudo almost automorphic solutions for nonautonomous SPDEs driven by Lévy noise ⋮ Pseudo almost automorphic mild solution of nonautonomous stochastic functional integro-differential equations

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