%0 Journal Article %T New result of existence of periodic solution for a Hopfield neural networks with neutral time-varying delays %A Chuanzhi Bai %A Chunhong Li %J Surveys in Mathematics and its Applications %D 2010 %I University Constantin Brancusi of Targu-Jiu %X 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. %K Hopfield neural networks %K Neutral delay %K Coincidence degree theory %K Periodic solution %U http://www.utgjiu.ro/math/sma/v05/p01.pdf