Stability of delay evolution equations with stochastic perturbations

DOI10.3934/cpaa.2014.13.2095zbMath1316.60104OpenAlexW2315610790MaRDI QIDQ479342

Leonid Shaikhet, Tomás Caraballo Garrido

Publication date: 5 December 2014

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.2095

zbMATH Keywords

exponential stabilityLyapunov functionalstochastic Navier-Stokes equationssecond momentstochastic delay evolution equation

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Stable stochastic processes (60G52)

Related Items (6)

Stochastic spatiotemporal diffusive predator-prey systems ⋮ Global stability of an autonomous stochastic delay differential equation with discontinuous coefficients ⋮ Impulses-induced p-exponential input-to-state stability for a class of stochastic delayed partial differential equations ⋮ Analysis of a stochastic \(2D\)-Navier-Stokes model with infinite delay ⋮ Stability of delay evolution equations with fading stochastic perturbations ⋮ The long-time behavior of a stochastic SIR epidemic model with distributed delay and multidimensional Lévy jumps

Cites Work

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• Lyapunov Functionals and Stability of Stochastic Difference Equations
• Stochastic Equations in Infinite Dimensions
• Exponential stability of mild solutions of stochastic partial differential equations with delays
• Asymptotic Stability of Nonlinear Stochastic Evolution Equations

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