Exponential stability of the steady state of reaction diffusion Hopfield neural networks. (English) Zbl 1020.35035
The authors have studied the exponential stability of the steady state of a reaction diffusion Hopfield neural network by the method of upper and lower solutions. Here, the reaction term is assumed to be quasi-monotone increasing. The domain of attraction has also been described.
Reviewer: Sebastian Aniţa (Iaşi)
MSC:
35K57 | Reaction-diffusion equations |
35B40 | Asymptotic behavior of solutions to PDEs |
35B35 | Stability in context of PDEs |