Existence and global attractiveness of a square-mean μ-pseudo almost automorphic solution for some stochastic evolution equation driven by Lévy noise

DOI10.1002/mana.201500345zbMath1369.34104OpenAlexW2525974130MaRDI QIDQ5275852

Mamadou Abdoul Diop, Khalil Ezzinbi, Mamadou Moustapha Mbaye

Publication date: 14 July 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500345

zbMATH Keywords

stochastic processesergodicitymeasure theorystochastic evolution equationsLévy noisecomposition theorem\(\mu\)-pseudo almost automorphic solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Functional-differential equations in abstract spaces (34K30) Almost and pseudo-almost periodic solutions to PDEs (35B15) Generalized stochastic processes (60G20) Stochastic functional-differential equations (34K50) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (8)

Pseudo almost automorphy of stochastic neutral partial functional differential equations with Lévy noise ⋮ Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations ⋮ The doubly weighted pseudo‐almost automorphic mild solutions to a class of stochastic dynamic equations ⋮ Existence of almost automorphic solution in distribution for a class of stochastic integro-differential equation driven by Lévy noise ⋮ Existence and stability of \(\mu\)-pseudo almost automorphic solutions for stochastic evolution equations ⋮ Exponential stable behavior of a class of impulsive partial stochastic differential equations driven by Lévy noise ⋮ μ-pseudo almost automorphic mild solutions for two terms order fractional differential equations ⋮ Pseudo almost automorphic mild solution of nonautonomous stochastic functional integro-differential equations

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