Attractivity in Time-Periodic Parabolic Systems and Application to Reaction–Diffusion Neural Networks

Differential Equations and Dynamical Systems - Tập 24 - Trang 109-127 - 2015
Benedetta Lisena1
1Dipartimento di Matematica, Universitá degli Studi di Bari, Bari, Italy

Tóm tắt

This paper is concerned with the global attractivity for a system of semilinear parabolic equations with homogeneous Dirichlet conditions, in a bounded Lipschitz domain. The coefficients are time-periodic and a delay appears in the nonlinear reaction terms. Our approach uses the Lyapunov method and new average estimates for the Halanay differential inequality. The efficiency and novelty of the introduced criteria are illustrated by applications to reaction–diffusion neural networks.

Tài liệu tham khảo

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