Stepanov-like doubly weighted pseudo almost automorphic processes and its application to Sobolev-type stochastic differential equations driven byG-Brownian motion

DOI10.1002/mma.4477zbMath1387.34066OpenAlexW2732121360MaRDI QIDQ3133988

Ping Zhu, Qi-Gui Yang

Publication date: 8 February 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4477

zbMATH Keywords

completenessexistence and uniqueness\(G\)-Brownian motioncomposition theoremsStepanov-like doubly weighted pseudo almost automorphy

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Stepanov-like pseudo almost periodicity in distribution and optimal control to impulsive partial stochastic differential equations ⋮ Stepanov-like doubly weighted pseudo almost automorphic mild solutions for fractional stochastic neutral functional differential equations ⋮ Exponential stability of \(\theta\)-method for stochastic differential equations in the \(G\)-framework ⋮ Strongly damped wave equations with Stepanov type nonlinear forcing term ⋮ Convergence and asymptotical stability of numerical solutions for neutral stochastic delay differential equations driven by \(G\)-Brownian motion

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