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EXISTENCE AND ATTRACTIVITY OF k-ALMOST AUTOMORPHIC SEQUENCE SOLUTION OF A MODEL OF CELLULAR NEURAL NETWORKS WITH DELAY |
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| Authors: | Syed ABBAS Yonghui XIA |
| Affiliation: | 1. School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, H.P.-175001, India 2. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China |
| Abstract: | In this paper we discuss the existence and global attractivity of k-almost automorphic sequence solution of a model of cellular neural networks. We consider the corresponding difference equation analogue of the model system using suitable discretization method and obtain certain conditions for the existence of solution. Almost automorphic function is a good generalization of almost periodic function. This is the first paper considering such solutions of the neural networks. |
| Keywords: | almost automorphic sequence difference equations neural networks |
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