title: Existence and global exponential stability of almost periodic solution for cellular neural networks with variable coefficients and time-varying delays.
abstract: In this paper, we study cellular neural networks with almost periodic variable coefficients and time-varying delays. By using the existence theorem of almost periodic solution for general functional differential equations, introducing many real parameters and applying the Lyapunov functional method and the technique of Young inequality, we obtain some sufficient conditions to ensure the existence, uniqueness, and global exponential stability of almost periodic solution. The results obtained in this paper are new, useful, and extend and improve the existing ones in previous literature.
authors.affiliation: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, People's Republic of China. jianghai@xju.edu.cn
authors.forename: Haijun
authors.initials: H
authors.lastname: Jiang
authors.forename: Long
authors.initials: L
authors.lastname: Zhang
authors.forename: Zhidong
authors.initials: Z
authors.lastname: Teng
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D015233:Models, Statistical; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D010507:Periodicity; D012815:Signal Processing, Computer-Assisted; D013997:Time Factors