Existence and global exponential stability of anti-periodic solutions for competitive neural networks with delays in the leakage terms on time scales

In this paper, the existence and the global exponential stability of anti-periodic solution for competitive neural networks with delays in the leakage terms are investigated on time scales which unifies the continuous-time and the discrete-time competitive neural networks under the same framework. Firstly, the existence of anti-periodic solution is discussed by using the method of coincidence degree and M-matrices. Then some sufficient conditions are obtained to guarantee the global exponential stability of anti-periodic solution for such neural networks. The obtained results are new and improve some earlier publications. Finally, two examples are given to illustrate the effectiveness of the theoretical results.