Square-mean almost periodic solutions to some singular stochastic differential equations

DOI10.1016/J.AML.2015.10.013zbMath1337.34062OpenAlexW2106996651MaRDI QIDQ899484

Mamadou Moustapha Mbaye, Tocka Diagana

Publication date: 28 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.10.013

zbMATH Keywords

projectionmild solutionsingular stochastic differential equationblock diagonal formsquare-mean almost periodic process

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (5)

Existence and global attractiveness of a square-mean μ-pseudo almost automorphic solution for some stochastic evolution equation driven by Lévy noise ⋮ Almost automorphic solution for some stochastic evolution equation driven by Lévy noise with coefficients \(S^{2}\)-almost automorphic ⋮ Doubly-weighted pseudo almost automorphic solutions for nonlinear stochastic differential equations driven by Lévy noise ⋮ Asymptotic almost periodicity of stochastic evolution equations ⋮ Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations

Cites Work

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• A deconvolution problem related to a singular system
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• Existence of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>S</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>-almost periodic solutions to a class of nonautonomous stochastic evolution equations
• Existence of almost periodic solutions to some stochastic differential equations

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