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Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays. (English) Zbl 1140.34030
A class of Cohen-Grossberg neural networks with bounded and unbounded delay are considered. Without assuming the boundedness, monotonicity, and differentiability of activation functions and any symmetry of interconnections, sufficient conditions for the existence and exponential stability of periodic solutions are established by using the coincidence degree theorem and differential inequality techniques. The results of this paper are new and they complement previously known results. Moreover, an example is given to illustrate the effectiveness of the new results.

MSC:
34K13 Periodic solutions to functional-differential equations
34K25 Asymptotic theory of functional-differential equations
34K20 Stability theory of functional-differential equations
Software:
dde23
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