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Boundedness and stability of nonautonomous cellular neural networks with reaction-diffusion terms. (English) Zbl 1171.35326
Summary: We study a class of nonautonomous cellular neural networks with reaction-diffusion terms. By employing the method of variation parameter, applying inequality technique and introducing a lot of real parameters, we present some sufficient conditions ensuring the boundedness and globally exponential stability of the solutions for nonautonomous cellular neural networks with reaction-diffusion terms. The results obtained extend and improve the earlier publications. Finally, three examples with their numerical simulations are provided to show the correctness of our analysis.

MSC:
35B35 Stability in context of PDEs
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
35K55 Nonlinear parabolic equations
35K57 Reaction-diffusion equations
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