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Existence and stability of almost periodic solution for BAM neural networks with delays. (English) Zbl 1034.34087

Summary: By using the Banach fixed-point theorem and constructing a suitable Lyapunov function, some sufficient conditions are obtained ensuring existence, uniqueness and global stability of an almost-periodic solution to BAM neural networks with variable coefficients and delays. These results are helpful to design global exponential stable BAM networks and almost -periodic oscillatory BAM networks.

MSC:

34K14 Almost and pseudo-almost periodic solutions to functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
34K20 Stability theory of functional-differential equations
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