Article
Stability of delay evolution equations with stochastic perturbations
Author/s | Caraballo Garrido, Tomás
Shaikhet, Leonid |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2014 |
Deposit Date | 2015-04-08 |
Published in |
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Abstract | The investigation of stability for hereditary systems is often related to the construction of Lyapunov functionals. The general method of Lyapunov functionals construction, which was proposed by V.Kolmanovskii and L.Shaikhet, ... The investigation of stability for hereditary systems is often related to the construction of Lyapunov functionals. The general method of Lyapunov functionals construction, which was proposed by V.Kolmanovskii and L.Shaikhet, is used here to investigate the stability of stochastic delay evolution equations, in particular, for stochastic partial diff erential equations. This method had already been successfully used for functional-di fferential equations, for diff erence equations with discrete time, and for di erence equations with continuous time. It is shown that the stability conditions obtained for stochastic 2D Navier-Stokes model with delays are essentially better than the known ones. |
Citation | Caraballo Garrido, T. y Shaikhet, L. (2014). Stability of delay evolution equations with stochastic perturbations. Communications on Pure and Applied Analysis, 13 (5), 2095-2113. |
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