Global exponential stability and existence of periodic solutions for delayed reaction-diffusion BAM neural networks with Dirichlet boundary conditions
1 Institute of Mathematics and Applied Mathematics, Xianyang Normal University, Xianyang, 712000, China
2 School of Science, Xidian University, Xi’an, Shaanxi, 710071, China
Boundary Value Problems 2013, 2013:105 doi:10.1186/1687-2770-2013-105Published: 26 April 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.