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Existence and global exponential stability of periodic solutions for general neural networks with time-varying delays. (English) Zbl 1149.34041

Summary: By using the coincidence degree theorem and differential inequality techniques, sufficient conditions are obtained for the existence and global exponential stability of periodic solutions for general neural networks with time-varying (including bounded and unbounded) delays. Some known results are improved and some new results are obtained. An example is employed to illustrate our feasible results.

MSC:

34K13 Periodic solutions to functional-differential equations
34K20 Stability theory of functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
47N20 Applications of operator theory to differential and integral equations
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