Stability of delay evolution equations with fading stochastic perturbations

DOI10.1080/00207179.2020.1861334zbMath1490.60191OpenAlexW3112150995MaRDI QIDQ5863729

Leonid Shaikhet, Tomás Caraballo Garrido

Publication date: 3 June 2022

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2020.1861334

zbMATH Keywords

evolution equationreaction-diffusion equationsexponential mean square stabilityfading stochastic perturbations2D Navier-Stokes model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (2)

Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for stochastic evolution equation involving delay ⋮ The impact of Lévy noise on the threshold dynamics of a stochastic susceptible‐vaccinated‐infected‐recovered epidemic model with general incidence functions

Cites Work

• Stability of delay evolution equations with stochastic perturbations
• \(L^p\) integrability of trigonometric series with special varying coefficients
• Asymptotic behavior of stochastic two-dimensional Navier-Stokes equations with delays
• Method of Lyapunov functionals construction in stability of delay evolution equations
• About stability of delay differential equations with square integrable level of stochastic perturbations
• About stability of difference equations with continuous time and fading stochastic perturbations
• Stochastic functional partial differential equations: existence, uniqueness and asymptotic decay property
• Asymptotic Stability of Nonlinear Stochastic Evolution Equations
• Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
• About stability of difference equations with square summable level of stochastic perturbations
• Stochastic Equations in Infinite Dimensions

This page was built for publication: Stability of delay evolution equations with fading stochastic perturbations