4.5 Article

WEIGHTED PSEUDO ALMOST-PERIODIC SOLUTIONS OF SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH MIXED DELAYS

Journal

ACTA MATHEMATICA SCIENTIA
Volume 36, Issue 6, Pages 1662-1682

Publisher

SPRINGER
DOI: 10.1016/S0252-9602(16)30098-4

Keywords

weighted pseudo almost-periodic solution; shunting inhibitory cellular neural networks; mixed delays; global exponential stability

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In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory cellular neural networks with mixed time-varying delays comprising different discrete and distributed time delays. Some sufficient conditions are given for the existence and the global exponential stability of the weighted pseudo almost-periodic solution by employing fixed point theorem and differential inequality techniques. The results of this paper complement the previously known ones. Finally, an illustrative example is given to demonstrate the effectiveness of our results.

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