A Class Of Complex-valued Impulsive Neural Network With Almost Automorphic Coefficients

In this thesis, the asymptotically almost automorphic solution of a class of complex-valued impulsive neural networks with almost automorphic coefficients are mianly dis-cussed. By using the contraction mapping principle and integral theory, sufficient criteria for the unique existence of the asymptotically almost automorphic solution are estab-lished. Also, by means of the Lyapunov functional and inequality technique, the global exponential stability of the solutions is studied. Furthermore, in this thesis, the existence and the stability of the equilibrium solution of the system are also discussed. Also, a simple example is given to demonstrate the effectiveness of our results.