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Global exponential stability and existence of periodic solution of Cohen-Grossberg type neural networks with delays and impulses. (English) Zbl 1151.34062
The author considers a system of delay differential equations with impulses. By using the continuation theorem of coincidence degree theory and by Lyapunov functions, he obtains some sufficient conditions for the existence and exponential stability of periodic solutions of such system.
MSC:
34K20Stability theory of functional-differential equations
34K45Functional-differential equations with impulses
34K13Periodic solutions of functional differential equations
92B20General theory of neural networks (mathematical biology)
47N20Applications of operator theory to differential and integral equations