Stepanov-like Almost Automorphic Solutions For Quaternion-valued Cellular Neural Networks

In this paper,Stepanov-like almost automorphic solutions of quaternion-valued cellu-lar neural networks with time delays are considered.By using Banach fixed point theory and the exponential dichotomy of linear differential equation,we study the existence and uniqueness of.Stepanov-like almost automorphic solutions for the suggested system.In addition,we prove that Stepanov-like almost automorphic solution of the system is glob-ally exponentially stable by using reduction to absurdity.At the end,an example is provided to illustrate the effectiveness of new results.