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Abstract:
The existence and global exponential stability of the periodic solutions is concerned on a kind of the differential system with the multiple variable delays in this paper. Such a system can be regarded as a model of a two-neuron artificial neural network with several delays. Some sufficient conditions are obtained for the existence and exponential stability of the periodic solution for the above system. Our approach is based on the continuation theorem of the coincidence degree, Lyapunov function and differential inequalities.
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DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS
ISSN: 1201-3390
Year: 2006
Volume: 13
Page: 351-354
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JCR@2006
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JCR@2006
JCR Journal Grade:4
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