Existence and stability of solutions for nonautonomous stochastic functional evolution equations
type: Item
instance of: scholarly article
title: Existence and stability of solutions for nonautonomous stochastic functional evolution equations
zbMATH Open document ID: 1179.60044
DOI: 10.1155/2009/785628
author: Xianlong Fu
published in: Journal of Inequalities and Applications
publication date: 2009-11-03T00:00:00Z
full work available at URL: https://eudml.org/doc/117832
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 5624584
zbMATH Keywords: oscillators in a noisy environment
zbMATH Keywords: viscoelastic materials
zbMATH Keywords: random or stochastic influences
Wikidata QID: Q59248454
MaRDI profile type: Publication
OpenAlex ID: W2104040639
cites work: Stochastic Equations in Infinite Dimensions
cites work: Stochastic evolution equations and related measure processes
cites work: Stability of semilinear stochastic evolution equations
cites work: Q3719572
cites work: Existence, uniqueness, and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces
cites work: Existence of Solutions of Nonlinear Neutral Stochastic Differential Inclusions in a Hilbert Space
cites work: Stability of Mild Solutions of Stochastic Evolution Equations with Variable Delay
cites work: Almost sure exponential stability for stochastic neutral partial functional differential equations
cites work: Existence and Uniqueness Results for Neutral SDEs in Hilbert Spaces
cites work: Existence and uniqueness for solutions of non-linear stochastic partial differential equations
cites work: On the exponential stability in mean square of neutral stochastic functional differential equations
cites work: Almost sure exponential stability for stochastic partial functional differential equations∗
cites work: Successive approximations to solutions of stochastic differential equations
cites work: Q3707054
cites work: Abstract stochastic integro-differential delay equations
cites work: Second-order neutral stochastic evolution equations with heredity
cites work: Semilinear functional differential equations in Banach space
cites work: Existence and asymptotic behavior of a functional differential equation in Banach space
cites work: Existence of periodic solutions for abstract neutral nonautonomous equations with infinite delay
cites work: Approximate controllability of nonautonomous semilinear systems
cites work: The exponential stability of neutral stochastic delay partial differential equations
cites work: Theory and applications of partial functional differential equations
cites work: Q5630031
cites work: Equations of parabolic type in a Banach space
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Regularity of solutions of linear stochastic equations in hilbert spaces
description: scientific article; zbMATH DE number 5624584