Existence and stability for stochastic partial differential equations with infinite delay
type: Item
instance of: scholarly article
title: Existence and stability for stochastic partial differential equations with infinite delay
zbMATH Open document ID: 1469.60203
DOI: 10.1155/2014/235937
author: Jing Cui
author: Litan Yan
author: Xichao Sun
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We consider a class of neutral stochastic partial differential equations with infinite delay in real separable Hilbert spaces. We derive the existence and uniqueness of mild solutions under some local Carathéodory-type conditions and also exponential stability in mean square of mild solutions as well as its sample paths. Some known results are generalized and improved.
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35R60
zbMATH DE Number: 7021966
zbMATH Keywords: Existence and stability for stochastic partial differential equations with infinite delay
zbMATH Keywords: Carathéodory-type conditions
Wikidata QID: Q59036486
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/235937
OpenAlex ID: W1978487465
cites work: The exponential stability of neutral stochastic delay partial differential equations
cites work: Stability of Infinite Dimensional Stochastic Differential Equations with Applications
cites work: Stability of infinite dimensional stochastic evolution equations with memory and Markovian jumps
cites work: Stochastic Equations in Infinite Dimensions
cites work: Stochastic Partial Differential Equations with Levy Noise
cites work: Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients
cites work: Almost sure exponential stability for stochastic neutral partial functional differential equations
cites work: Existence, uniqueness, and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces
cites work: A note on the existence and uniqueness of mild solutions to neutral stochastic partial functional differential equations with non-Lipschitz coefficients
cites work: Q3527107
cites work: A general theory of heat conduction with finite wave speeds
cites work: On heat conduction in materials with memory
cites work: Second-order neutral stochastic evolution equations with infinite delay under Carathéodory conditions
cites work: Existence of Solution of Nonlinear Neutral Stochastic Differential Inclusions with Infinite Delay
cites work: Asymptotic behavior for neutral stochastic partial differential equations with infinite delays
cites work: Asymptotic stability theorems of semilinear stochastic evolution equations in hilbert spaces
cites work: Q4163814
cites work: Existence of mild solutions to stochastic neutral partial functional differential equations with non-Lipschitz coefficients
cites work: Semigroups of linear operators and applications to partial differential equations
description: scientific article; zbMATH DE number 7021966