Existence of almost periodic solutions to some stochastic differential equations

DOI10.1080/00036810701397788zbMath1130.34033OpenAlexW2094676296MaRDI QIDQ5422431

Tocka Diagana, Paul Hubert Bézandry

Publication date: 19 October 2007

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701397788

zbMATH Keywords

stochastic processesexistence and uniquenessstochastic evolution equationsstochastically bounded\(p\)th-mean almost periodic mild solutions\(p\)th-mean almost periodicitymean square almost periodic solution

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Almost and pseudo-almost periodic solutions to PDEs (35B15) Random operators and equations (aspects of stochastic analysis) (60H25) Ordinary differential equations and systems with randomness (34F05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Stochastic integral equations (60H20) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

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Cites Work

• Stochastically bounded solutions of a nonlinear stochastic differential equation
• Almost periodic solutions of affine stochastic evolution equations
• Periodic and almost periodic solutions for semilinear stochastic equations
• Stationary and almost periodic solutions of almost periodic affine stochastic differential equations
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