Anti-periodic mild attractor of delayed hopfield neural networks systems with reaction–diffusion terms

In this paper, reaction–diffusion Hopfield neural networks systems with time-varying delays and Dirichlet boundary conditions are investigated. The theorems on existence and global exponential stability of anti-periodic mild solution are established. Moreover, theoretical results further show that diffusion terms contribute to existence and stabilization of anti-periodic mild solution. Finally, an illustrative example and numerical simulations are given to show effectiveness of results in this paper.