Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417651 | Journal of Mathematical Analysis and Applications | 2016 | 16 Pages |
Abstract
The purpose of this article is to study various qualitative properties of traveling waves for nonlinear cellular neural networks with distributed delays. The existence of monotone traveling waves of the model has been obtained in [25]. In this paper, we first determine the exact asymptotic behavior of the traveling waves at infinity. Then, the non-existence of the traveling waves is established. Finally, based on a strong comparison theorem, we prove the monotonicity and uniqueness (up to translation) of the traveling waves.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shi-Liang Wu, Tong-Chang Niu,