A new composition theorem for square-mean almost automorphic functions and applications to stochastic differential equations

DOI10.1016/J.NA.2010.11.025zbMath1217.60043OpenAlexW2062127747MaRDI QIDQ631686

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

Publication date: 14 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.11.025

zbMATH Keywords

Schauder's fixed point theoremstochastic differential equationscomposition theorem of square-mean almost automorphic functions

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Almost and pseudo-almost periodic solutions to PDEs (35B15)

Related Items (17)

Mean-square asymptotically almost automorphic solutions to fractional stochastic relaxation equations ⋮ On the initial value problem of stochastic evolution equations in Hilbert spaces ⋮ Almost automorphic solutions for fractional stochastic differential equations and its optimal control ⋮ Stepanov-like weighted asymptotic behavior of solutions to some stochastic differential equations in Hilbert spaces ⋮ Almost automorphic solutions to some stochastic functional differential equations with delay ⋮ New composition theorems of Stepanov-like weighted pseudo almost automorphic functions and applications to nonautonomous evolution equations ⋮ Square-mean weighted pseudo almost automorphic solutions for non-autonomous stochastic evolution equations ⋮ Asymptotic stability of fractional stochastic neutral differential equations with infinite delays ⋮ Almost automorphic solutions for stochastic differential equations driven by Lévy noise with exponential dichotomy ⋮ On almost automorphic mild solutions for nonautonomous stochastic evolution equations ⋮ Existence and stability of almost periodic solutions for impulsive differential equations ⋮ Existence of square-mean almost automorphic solutions to stochastic functional integrodifferential equations in Hilbert spaces ⋮ Poisson \(S^2\)-almost automorphy for stochastic processes and its applications to SPDEs driven by Lévy noise ⋮ Asymptotic behavior of solutions to abstract stochastic fractional partial integrodifferential equations ⋮ Asymptotically periodic solution of a stochastic differential equation ⋮ Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations ⋮ Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations

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