Almost Periodic Neutral Coupled With Higher Order Hopfield Neural Networks On The Time Scale Solution

In this paper, a class of High-order Hopfield-type neural networks of neutral-type with time-varying delays in the leakage term on time scales is proposed. Base on the exponen-tial dichotomy of linear dynamic equations on time scales, Banach’s fixed point theorem and the theory of calculus on time scales, some sufficient conditions are obtained for the existence and exponential stability of almost periodic solutions for this class of neural networks. The results of this paper are completely new and complementary to the previ-ously known results even if the time scale T=R or Z. Finally, we present an example to illustrate our results are effective.