Dynamic behaviors for inertial neural networks with reaction-diffusion terms and distributed delays

Advances in Difference Equations

Famei Zheng¹ 

[1] School of Mathematics and Statistics, Huaiyin Normal University, 223300, Huaian, Jiangsu, P.R. China;

关键词: Inertial neural networks;    Reaction-diffusion terms;    Stability;   

DOI  :  10.1186/s13662-021-03330-y

来源: Springer

【 摘 要 】

A class of inertial neural networks (INNs) with reaction-diffusion terms and distributed delays is studied. The existence and uniqueness of the equilibrium point for the considered system is obtained by topological degree theory, and a sufficient condition is given to guarantee global exponential stability of the equilibrium point. Finally, an example is given to show the effectiveness of the results in this paper.

【 授权许可】

CC BY