Stability of the stochastic reaction-diffusion neural network with time-varying delays and \(p\)-Laplacian

DOI10.1155/2012/405939zbMath1263.92004OpenAlexW2157440545WikidataQ58906849 ScholiaQ58906849MaRDI QIDQ1952843

Huang Jingchang, Pan Qingfei, Zhang Zifang

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/405939

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Neural networks for/in biological studies, artificial life and related topics (92B20) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (5)

Existence of exponential \(p\)-stability nonconstant equilibrium of Markovian jumping nonlinear diffusion equations via Ekeland variational principle ⋮ Robust stability of nonlinear diffusion fuzzy neural networks with parameter uncertainties and time delays ⋮ New stability criterion for Takagi-sugeno fuzzy Cohen-Grossberg neural networks with probabilistic time-varying delays ⋮ Exponential robust stability of T-S fuzzy stochastic \(p\)-Laplace PDEs under zero-boundary condition ⋮ Robust stability of probabilistic delays fuzzy stochastic \(p\)-Laplace dynamic equations

Cites Work

• Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
• Algebraic conditions of stability for Hopfield neural network
• Stabilization of stochastic Hopfield neural network with distributed parameters
• Stability analysis of Hopfield neural networks with time delay
• Stochastic Hopfield neural networks
• Stability for Hopfield Neural Networks With Time Delay
• Stability of stochastic delay neural networks
• Global dynamics of Hopfield neural networks involving variable delays
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