Measure theory and square-mean pseudo almost periodic and automorphic process: application to stochastic evolution equations

DOI10.1007/s40840-015-0278-yzbMath1388.34057OpenAlexW2286681786MaRDI QIDQ1695603

Mamadou Abdoul Diop, Khalil Ezzinbi, Mamadou Moustapha Mbaye

Publication date: 7 February 2018

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0278-y

zbMATH Keywords

stochastic processesergodicitymeasure theorystochastic evolution equationspseudo almost periodic solutionpseudo almost automorphic solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear differential equations in abstract spaces (34G20) Almost and pseudo-almost periodic solutions to PDEs (35B15) Generalized stochastic processes (60G20) Ordinary differential equations and systems with randomness (34F05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (4)

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 ⋮ Pseudo almost automorphy of stochastic neutral partial functional differential equations with Lévy noise ⋮ The doubly weighted pseudo‐almost automorphic mild solutions to a class of stochastic dynamic equations

Cites Work

• Measure theory and pseudo almost automorphic functions: new developments and applications
• Almost automorphic solutions to second-order semilinear evolution equations
• Almost automorphic solutions for nonautonomous stochastic differential equations
• Measure theory and \(S^2\)-pseudo almost periodic and automorphic process: application to stochastic evolution equations
• Square-mean pseudo almost automorphic process and its application to stochastic evolution equations
• Stepanov-like almost automorphy for stochastic processes and applications to stochastic differential equations
• Almost automorphic solutions for some partial functional differential equations
• Weighted pseudo almost periodic functions and applications
• Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
• Existence of almost periodic solutions to some functional integro-differential stochastic evolution equations
• Some properties of pseudo-almost automorphic functions and applications to abstract differential equations
• Pseudo-almost automorphic mild solutions to nonautonomous differential equations and applications
• Weighted pseudo almost automorphic functions and applications to abstract differential equations
• Almost automorphic solutions for partial functional differential equations with infinite delay
• Composition of pseudo almost automorphic and asymptotically almost automorphic functions
• Weighted pseudo-almost periodic solutions to some differential equations
• Square-mean almost automorphic solutions for some stochastic differential equations
• UNIFORM CONVERGENCE OF MONOTONE SEQUENCES OF FUNCTIONS
• 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
• Almost periodic solutions of affine stochastic evolution equations
• Periodic and almost periodic solutions for semilinear stochastic equations
• Topics in Almost Automorphy
• Almost automorphic solutions of semilinear evolution equations
• New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications
• Composition of pseudo almost periodic and pseudo almost automorphic functions and applications to evolution equations
• Existence of almost periodic solutions to some stochastic differential equations
• Almost Automorphic Functions on Groups
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