Measure theory and \(S^2\)-pseudo almost periodic and automorphic process: application to stochastic evolution equations

DOI10.1007/s13370-014-0247-xzbMath1326.34097OpenAlexW2012728364MaRDI QIDQ497011

Mamadou Abdoul Diop, Mamadou Moustapha Mbaye, Khalil Ezzinbi

Publication date: 23 September 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-014-0247-x

zbMATH Keywords

stochastic processesergodicitymeasure theorystochastic evolution equationscompleteness and composition theoremStepanov-like \(\mu\)-pseudo almost automorphic solutionStepanov-like \(\mu\)-pseudo almost periodic solution

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Generalized stochastic processes (60G20) Ordinary differential equations and systems with randomness (34F05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Measure-theoretic ergodic theory (28D99) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (10)

Existence and global attractiveness of a square-mean μ-pseudo almost automorphic solution for some stochastic evolution equation driven by Lévy noise ⋮ Square-mean \(\mu \)-pseudo almost periodic and automophic solutions for a class of semilinear integro-differential stochastic evolution equations ⋮ Pseudo almost automorphy of semilinear fractional differential equations in Banach spaces ⋮ Almost automorphic solution for some stochastic evolution equation driven by Lévy noise with coefficients \(S^{2}\)-almost automorphic ⋮ Stepanov-like pseudo almost periodicity in distribution and optimal control to impulsive partial stochastic differential equations ⋮ Measure theory and square-mean pseudo almost periodic and automorphic process: application to stochastic evolution equations ⋮ Existence of almost automorphic solution in distribution for a class of stochastic integro-differential equation driven by Lévy noise ⋮ Pseudo almost automorphic in distribution solutions of semilinear stochastic integro-differential equations by measure theory ⋮ STEPANOV-LIKE PSEUDO ALMOST PERIODIC SOLUTIONS FOR IMPULSIVE PERTURBED PARTIAL STOCHASTIC DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL ⋮ Pseudo almost automorphic mild solution of nonautonomous stochastic functional integro-differential equations

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