Global exponential stability and existence of periodic solutions for delayed reaction-diffusion BAM neural networks with Dirichlet boundary conditions
Weiyuan Zhang, Junmin Li, Minglai Chen · Boundary Value Problems · 2013
In this paper, both global exponential stability and periodic solutions are investigated for a class of delayed reaction-diffusion BAM neural networks with Dirichlet boundary conditions.By employing suitable Lyapunov functionals, sufficient conditions of the global exponential stability and the existence of periodic solutions are established for reaction-diffusion BAM neural networks with mixed time delays and Dirichlet boundary conditions.The derived criteria extend and improve previous results in the literature.A numerical example is given to show the effectiveness of the obtained results.