Bochner-Almost Periodicity for Stochastic Processes

DOI10.1080/07362994.2012.649628zbMath1258.60030OpenAlexW2055745826MaRDI QIDQ5388161

Omar Mellah, Fazia Bedouhene, Paul Raynaud de Fitte

Publication date: 18 April 2012

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2012.649628

zbMATH Keywords

asymptotically almost periodiccontinuous stochastic processalmost periodic in distributionalmost periodic in p-meanBochner-almost periodicBohr-almost periodic

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Foundations of stochastic processes (60G05)

Related Items (11)

Almost periodic and periodic solutions of differential equations driven by the fractional Brownian motion with statistical application ⋮ Remotely almost periodicity for SDEs under the framework of evolution system ⋮ Pseudo almost automorphy of stochastic neutral partial functional differential equations with Lévy noise ⋮ Unnamed Item ⋮ Asymptotic almost periodicity of stochastic evolution equations ⋮ Almost periodic stochastic Beverton-Holt difference equation with higher delays and with competition between overlapping generations ⋮ Existence of almost periodic solutions to some nonautonomous higher-order stochastic difference equations ⋮ Almost periodic random sequences in probability ⋮ Almost periodicity and periodicity for nonautonomous random dynamical systems ⋮ Almost automorphy and various extensions for stochastic processes ⋮ Almost periodic solutions in distribution to affine stochastic differential equations driven by a fractional Brownian motion

Cites Work

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• A NEW APPROACH TO ALMOST PERIODICITY

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