Stability in mean of partial variables for stochastic reaction diffusion systems

DOI10.1016/j.na.2008.11.008zbMath1238.93091OpenAlexW2062966946MaRDI QIDQ419792

Qi Luo, Xiang-Hong Lai, Yutian Zhang

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.11.008

zbMATH Keywords

Lyapunov functionasymptotic stabilitystability in meanItô differential formulapartial variablestochastic reaction diffusion systems

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic stability in control theory (93D20) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic stability in control theory (93E15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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Mean square exponential stability of stochastic neural networks with reaction-diffusion terms and delays ⋮ Stability in mean of partial variables for stochastic reaction-diffusion systems with Markovian switching ⋮ Stability of stochastic reaction-diffusion systems with Markovian switching and impulsive perturbations ⋮ Stability in mean of partial variables for coupled stochastic reaction-diffusion systems on networks: a graph approach ⋮ Exponential stability with respect to part of the variables for a class of nonlinear stochastic systems with Markovian switchings ⋮ Intermittent boundary stabilization of stochastic reaction-diffusion Cohen-Grossberg neural networks

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