Existence-uniqueness and stability of the mild periodic solutions to a class of delayed stochastic partial differential equations and its applications
type: Item
instance of: scholarly article
title: Existence-uniqueness and stability of the mild periodic solutions to a class of delayed stochastic partial differential equations and its applications
zbMATH Open document ID: 1466.35011
author: Qi Yao
author: Linshan Wang
author: Yangfan Wang
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2021-06-18T00:00:00Z
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 90B15
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 7360951
zbMATH Keywords: delayed stochastic reaction-diffusion equations
zbMATH Keywords: mild periodic solutions
zbMATH Keywords: neural networks
Wikidata QID: Q115219210
MaRDI profile type: Publication
full work available at URL: dcdsb.2020310
OpenAlex ID: W3094402699
cites work: Nonlinear stochastic differential delay equations
cites work: Q4404205
cites work: Delay-distribution-dependent state estimation for discrete-time stochastic neural networks with random delay
cites work: Introduction to the numerical analysis of stochastic delay differential equations
cites work: New results concerning exponential stability and periodic solutions of delayed cellular neural networks
cites work: Exponential stability of mild solutions of stochastic partial differential equations with delays
cites work: Intermittent synchronization of reaction-diffusion neural networks with mixed delays via Razumikhin technique
cites work: Smooth stable and unstable manifolds for stochastic evolutionary equations
cites work: Q4003237
cites work: Introduction to functional differential equations
cites work: On stationary solutions of a stochastic differential equation
cites work: Stochastic functional evolution equations with monotone nonlinearity: existence and stability of the mild solutions
cites work: Stochastic Differential Delay Equation, Moment Stability, and Application to Hematopoietic Stem Cell Regulation System
cites work: Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays
cites work: Some views on recent randomized study of infinite dimensional functional differential equations
cites work: Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays.
cites work: Stochastic partial differential equations: an introduction
cites work: Q4001834
cites work: Global well-posedness and stability of the mild solutions for a class of stochastic partial functional differential equations
cites work: Global exponential robust stability of reaction-diffusion interval neural networks with time-varying delays
cites work: Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains
cites work: Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
cites work: Existence theorems for periodic Markov process and stochastic functional differential equations
cites work: On the periodic solution ofN–Dimensional Stochastic Population Models*
cites work: Exponential stability of impulsive nonlinear stochastic differential equations with mixed delays
DOI: 10.3934/DCDSB.2020310
description: scientific article; zbMATH DE number 7360951