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Multiple periodic solutions in impulsive hybrid neural networks with delays. (English) Zbl 1225.34071

The authors establish sufficient conditions for the existence and exponential stability of multiple periodic solutions to an impulsive hybrid Hopfield-type neural network with both time-dependent and distributed delays. The proofs are based on the Leray-Schauder fixed point theorem and Lyapunov functionals.

MSC:

34K13 Periodic solutions to functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
34K45 Functional-differential equations with impulses
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