An averaging principle for the time-dependent abstract stochastic evolution equations with infinite delay and Wiener process

DOI10.1007/S10955-019-02422-0zbMath1447.60125OpenAlexW3002020806MaRDI QIDQ1984817

Wei Xu, Wenjing Xu

Publication date: 7 April 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-019-02422-0

zbMATH Keywords

infinite delayaveraging principle\(L^2\) convergencetime-dependent stochastic evolution equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Periodic solutions to ordinary differential equations (34C25) Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

Averaging principle for multiscale stochastic fractional Schrödinger-Korteweg-de Vries system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-time-scales hyperbolic-parabolic equations driven by Poisson random measures: existence, uniqueness and averaging principles
• Periodic solutions of nonlinear hyperbolic evolution systems
• A Landesman-Lazer type result for periodic parabolic problems on \(\mathbb R^N\) at resonance
• Existence, uniqueness and stability of mild solutions for time-dependent stochastic evolution equations with Poisson jumps and infinite delay
• An averaging principle for stochastic dynamical systems with Lévy noise
• Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients
• Averaging principle for a class of stochastic reaction-diffusion equations
• Geometric theory of semilinear parabolic equations
• An abstract topological point of view and a general averaging principle in the theory of differential inclusions
• Strong convergence in averaging principle for stochastic hyperbolic-parabolic equations with two time-scales
• A Khasminskii type averaging principle for stochastic reaction-diffusion equations
• Khasminskii-Whitham averaging for randomly perturbed KdV equation
• An averaging principle for stochastic evolution equations. II.
• Weak averaging of stochastic evolution equations
• Stochastic Equations in Infinite Dimensions

This page was built for publication: An averaging principle for the time-dependent abstract stochastic evolution equations with infinite delay and Wiener process