Surveys in Mathematics and its Applications

ISSN1842-6298 (electronic), 1843-7265 (print)

Volume 5 (2010), 1 -- 16## NEW RESULT OF EXISTENCE OF PERIODIC SOLUTION FOR A HOPFIELD NEURAL NETWORKS WITH NEUTRAL TIME-VARYING DELAYS

## Chuanzhi Bai and Chunhong Li

Abstract. In this paper, a Hopfield neural network with neutral time-varying delays is investigated by using the continuation theorem of Mawhin's coincidence degree theory and some analysis technique. Without assuming the continuous differentiability of time-varying delays, sufficient conditions for the existence of the periodic solutions are given. The result of this paper is new and extends previous known result.2000 Mathematics Subject Classification:34K13; 92B20

Keywords:Hopfield neural networks; Neutral delay; Coincidence degree theory; Periodic solution

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Chuanzhi Bai Chunhong Li Department of Mathematics, Department of Mathematics, Huaiyin Normal University, Huaiyin Normal University, Huaian, Jiangsu 223300, P. R. China. Huaian, Jiangsu 223300, P. R. China. e-mail: czbai@hytc.edu.cn e-mail: lichshy2006@126.com