@article{Li2022, 
author = {Yongkun Li and Xiaoli Huang and Xiaohui Wang},
title = {Weyl almost periodic solutions for quaternion-valued shunting inhibitory cellular neural networks with time-varying delays},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {4861-4886},
keywords = {quaternion-valued neural network, Weyl almost periodic solution, global exponential stability, time-varying delays},
url = {https://www.sciopen.com/article/10.3934/math.2022271},
doi = {10.3934/math.2022271},
abstract = {We consider the existence and stability of Weyl almost periodic solutions for a class of quaternion-valued shunting inhibitory cellular neural networks with time-varying delays. In order to overcome the incompleteness of the space composed of Weyl almost periodic functions, we first obtain the existence of a bounded continuous solution of the system under consideration by using the fixed point theorem, and then prove that the bounded solution is Weyl almost periodic by using a variant of Gronwall inequality. Then we study the global exponential stability of the Weyl almost periodic solution by using the inequality technique. Even when the system we consider degenerates into a real-valued one, our results are new. A numerical example is given to illustrate the feasibility of our results.}
}