Impulsive-integral inequality and exponential stability for stochastic partial differential equations with delays

DOI10.1016/j.spl.2009.09.011zbMath1177.93075OpenAlexW2015942736MaRDI QIDQ1044014

Huabin Chen

Publication date: 10 December 2009

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2009.09.011

zbMATH Keywords

exponential stabilityimpulsive-integral inequalityimpulsive stochastic partial differential equation with delays

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) Stochastic systems in control theory (general) (93E03) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (42)

Stability analysis for second-order stochastic neutral partial functional systems subject to infinite delays and impulses ⋮ The existence and exponential stability for neutral stochastic partial differential equations with infinite delay and Poisson jump ⋮ Exponential stability in mean square for neutral stochastic partial functional differential equations with impulses ⋮ Global attractiveness and exponential stability for impulsive fractional neutral stochastic evolution equations driven by fBm ⋮ Exponential stability of mild solutions to impulsive stochastic neutral partial differential equations with memory ⋮ A note on exponential stability for impulsive neutral stochastic partial functional differential equations ⋮ Existence and exponential stability for impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup via Mönch fixed point ⋮ Exponential stability of impulsive stochastic partial differential equations with delays ⋮ Existence and exponential stability for neutral stochastic fractional differential equations with impulses driven by Poisson jumps ⋮ Existence results for impulsive delayed neutral stochastic functional differential equations with noncompact semigroup ⋮ Exponential stability for neutral stochastic partial integro-differential equations of second order with poisson jumps ⋮ The existence and exponential stability for random impulsive integrodifferential equations of neutral type ⋮ New impulsive-integral inequality for stochastic differential equations with Poisson jumps and Caputo fractional derivative ⋮ Exponential stability of impulsive fractional neutral stochastic integro-differential equations with nonlocal conditions ⋮ Stability of traveling waves for deterministic and stochastic delayed reaction-diffusion equation based on phase shift ⋮ Existence and stability results of mild solutions for random impulsive stochastic partial differential equations with noncompact semigroups ⋮ Stability analysis for neutral stochastic differential equation of second order driven by Poisson jumps ⋮ Trajectory controllability of impulsive neutral stochastic functional integrodifferential equations driven by fBm with noncompact semigroup via Mönch fixed point ⋮ Existence and exponential stability for neutral stochastic integrodifferential equations with impulses driven by a fractional Brownian motion ⋮ Asymptotic stability of fractional impulsive neutral stochastic partial integro-differential equations with infinite delay ⋮ Asymptotic stability of fractional stochastic neutral differential equations with infinite delays ⋮ Impulsive-integral inequalities for attracting and quasi-invariant sets of impulsive stochastic partial differential equations with infinite delays ⋮ Existence and exponential stability for impulsive stochastic partial functional differential equations ⋮ Attracting and quasi-invariant sets of neutral stochastic integro-differential equations with impulses driven by fractional Brownian motion ⋮ Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects ⋮ Global attracting set and stability of stochastic neutral partial functional differential equations with impulses ⋮ The asymptotic behavior for second-order neutral stochastic partial differential equations with infinite delay ⋮ Asymptotic behavior of impulsive stochastic functional differential equations ⋮ A note on exponential stability for second-order neutral stochastic partial differential equations with infinite delays in the presence of impulses ⋮ Exponential stability of impulsive fractional neutral stochastic differential equations ⋮ PULLBACK ATTRACTORS FOR DIFFERENTIAL EQUATIONS WITH MULTIPLE VARIABLE DELAYS IN LIPSCHITZ NONLINEARITIES ⋮ Asymptotic behavior of second-order impulsive partial stochastic functional neutral integrodifferential equations with infinite delay ⋮ Existence and uniqueness, attraction for stochastic age-structured population systems with diffusion and Poisson jump ⋮ A class of impulsive stochastic parabolic functional differential equations and their asymptotics ⋮ Existence and exponential stability of a class of impulsive neutral stochastic partial differential equations with delays and Poisson jumps ⋮ Existence and exponential stability for neutral stochastic integro-differential equations with impulses driven by a Rosenblatt process ⋮ Existence and mean-square exponential stability of mild solutions for impulsive stochastic partial differential equations with noncompact semigroup ⋮ Stability result of higher-order fractional neutral stochastic differential system with infinite delay driven by Poisson jumps and Rosenblatt process ⋮ Impulses-induced p-exponential input-to-state stability for a class of stochastic delayed partial differential equations ⋮ Unnamed Item ⋮ Analysis of a periodic single species population model involving constant impulsive perturbation ⋮ On the asymptotic stability of impulsive neutral stochastic partial integrodifferential equations with variable delays and Poisson jumps

Cites Work

• Unnamed Item
• The exponential stability for stochastic delay partial differential equations
• Stability of stochastic partial differential equations with infinite delays
• Asymptotic stability of nonlinear impulsive stochastic differential equations
• Asymptotic stability of impulsive stochastic partial differential equations with infinite delays
• Semigroups of linear operators and applications to partial differential equations
• Stability of semilinear stochastic evolution equations
• A note on almost sure exponential stability for stochastic partial functional differential equations
• Existence, uniqueness, and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces
• On exponential stability criteria of stochastic partial differential equations
• Exponential stability of non-linear stochastic evolution equations
• Fixed points and stability of neutral stochastic delay differential equations
• Fixed points and exponential stability of mild solutions of stochastic partial differential equations with delays
• Exponential stability of nonautonomous stochastic partial differential equations with finite memory
• Stochastic functional partial differential equations: existence, uniqueness and asymptotic decay property
• Razumikhin-Type Theorems of Infinite Dimensional Stochastic Functional Differential Equations
• Approximations to mild solutions of stochastic semilinear equations with non-Lipschitz coefficients
• Absolute stability of a stochastic evolution equationt†
• Integral equations, Volterra equations, and the remarkable resolvent: contractions
• Almost sure exponential stability for stochastic partial functional differential equations^∗
• Lyapunov functionals and asymptotic stability of stochastic delay evolution equations
• Stability of Mild Solutions of Stochastic Evolution Equations with Variable Delay
• Exponential stability of mild solutions of stochastic partial differential equations with delays
• EXISTENCE AND STABILITY OF SOLUTIONS OF STOCHASTIC SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
• Asymptotic stability theorems of semilinear stochastic evolution equations in hilbert spaces
• Stability of Infinite Dimensional Stochastic Differential Equations with Applications
• Stochastic Equations in Infinite Dimensions

This page was built for publication: Impulsive-integral inequality and exponential stability for stochastic partial differential equations with delays