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Zbl 1240.60192
Zhang, Zifang; Deng, Jin
Stability of a stochastic reaction-diffusion Hopfield neural network with time-varying delays. (English)
[J] J. Sichuan Univ., Nat. Sci. Ed. 47, No. 3, 451-456 (2010). ISSN 0490-6756

Summary: The main aim of this paper is to discuss moment exponential stability for a stochastic reaction-diffusion Hopfield neural network with time-varying delays. Using the Itô formula, a delay differential inequality and the characteristics of the neural network, the algebraic conditions of the moment exponential stability for non-constant equilibrium solutions are derived. An example is also given for illustration.

MSC 2000:: *60H15 Stochastic partial differential equations
35B35 Stability of solutions of PDE
35R60 PDE with randomness

Keywords: time-varying delays; non-constant equilibrium solution; moment exponential stability; reaction-diffusion neural network

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