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Qingfei, Pan; Zifang, Zhang; Jingchang, Huang

Stability of the stochastic reaction-diffusion neural network with time-varying delays and \(p\)-Laplacian. (English) Zbl 1263.92004

J. Appl. Math. 2012, Article ID 405939, 10 p. (2012).
Summary: The main aim of this paper is to discuss moment exponential stability for a stochastic reaction-diffusion neural network with time-varying delays and p-Laplacian. Using the Itô formula, a delay differential inequality and the characteristics of the neural network, and the algebraic conditions for the moment exponential stability of the non-constant equilibrium solution are derived. An example is also given for illustration.

Cited in 5 Documents

MSC:

92B20 Neural networks for/in biological studies, artificial life and related topics
35K57 Reaction-diffusion equations
35R60 PDEs with randomness, stochastic partial differential equations
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
60H30 Applications of stochastic analysis (to PDEs, etc.)
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\textit{P. Qingfei} et al., J. Appl. Math. 2012, Article ID 405939, 10 p. (2012; Zbl 1263.92004)
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References:

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