Existence and stability for stochastic partial differential equations with infinite delay

DOI10.1155/2014/235937zbMath1469.60203OpenAlexW1978487465WikidataQ59036486 ScholiaQ59036486MaRDI QIDQ1722390

Jing Cui, Litan Yan, Xichao Sun

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/235937

zbMATH Keywords

Carathéodory-type conditionsExistence and stability for stochastic partial differential equations with infinite delay

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (3)

Unnamed Item ⋮ Adaptive neural networks synchronization of a four-dimensional energy resource stochastic system ⋮ On almost periodic mild solutions for neutral stochastic evolution equations with infinite delay

Cites Work

• Unnamed Item
• Unnamed Item
• A note on the existence and uniqueness of mild solutions to neutral stochastic partial functional differential equations with non-Lipschitz coefficients
• Second-order neutral stochastic evolution equations with infinite delay under Carathéodory conditions
• Asymptotic behavior for neutral stochastic partial differential equations with infinite delays
• Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients
• Existence of mild solutions to stochastic neutral partial functional differential equations with non-Lipschitz coefficients
• Semigroups of linear operators and applications to partial differential equations
• Existence, uniqueness, and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces
• The exponential stability of neutral stochastic delay partial differential equations
• Stability of infinite dimensional stochastic evolution equations with memory and Markovian jumps
• A general theory of heat conduction with finite wave speeds
• Existence of Solution of Nonlinear Neutral Stochastic Differential Inclusions with Infinite Delay
• Stochastic Equations in Infinite Dimensions
• Asymptotic stability theorems of semilinear stochastic evolution equations in hilbert spaces
• Almost sure exponential stability for stochastic neutral partial functional differential equations
• Stochastic Partial Differential Equations with Levy Noise
• On heat conduction in materials with memory
• Stability of Infinite Dimensional Stochastic Differential Equations with Applications

This page was built for publication: Existence and stability for stochastic partial differential equations with infinite delay