Existence of periodic oscillatory solution of reaction-diffusion neural networks with delays. (English) Zbl 1194.35221
Summary: We study a class of reaction-diffusion cellular neural networks with delays by introducing ingeniously real parameters with , , , , employing suitable Lyapunov functionals and applying some inequality techniques, we obtain a set of sufficient conditions ensuring the existence, uniqueness, and global exponential stability of the periodic oscillatory solution. These conditions have important leading significance in the design and applications of periodic oscillatory reaction-diffusion neural circuits.
|35R10||Partial functional-differential equations|
|35B05||Oscillation, zeros of solutions, mean value theorems, etc. (PDE)|
|35B10||Periodic solutions of PDE|
|82C32||Neural nets (statistical mechanics)|