scholarly journals Asymptotic behavior of traveling waves for non-quasi-monotone system with delay

2021 ◽  
Vol 25 (01) ◽  
pp. 23-28
Author(s):  
Yong-Hui Zhou ◽  
Wen-Di Li ◽  
Yan-Ru Che
Keyword(s):  
Asymptotic Behavior ◽  
Traveling Waves ◽  
System With Delay ◽  
Monotone System

Asymptotics and Uniqueness of Travelling Waves for Non-Monotone Delayed Systems on 2D Lattices

2013 ◽  
Vol 56 (3) ◽  
pp. 659-672 ◽  
Author(s):  
Zhi-Xian Yu ◽  
Ming Mei
Keyword(s):  
Asymptotic Behavior ◽  
Traveling Waves ◽  
Travelling Waves ◽  
A Priori ◽  
Travelling Wave ◽  
Delayed Systems

Abstract.We establish asymptotics and uniqueness (up to translation) of travelling waves for delayed 2D lattice equations with non-monotone birth functions. First, with the help of Ikehara’s Theorem, the a priori asymptotic behavior of travelling wave is exactly derived. Then, based on the obtained asymptotic behavior, the uniqueness of the traveling waves is proved. These results complement earlier results in the literature.

Sign in / Sign up

Export Citation Format

Share Document