Hui-Ling Zhou, Zhixian Yu
Abstract:
In this article, we study the uniqueness of traveling wave solutions
for non-monotone cellular neural networks with distributed delays.
First we establish a priori asymptotic behavior of the traveling wave
solutions at infinity. Then, based on Ikehara's theorem, we prove the
uniqueness of the solution
with
,
where
is the critical wave speed.
Submitted March 1, 2017. Published April 11, 2017.
Math Subject Classifications: 35C07, 92D25, 35B35.
Key Words: Cellular neural network; uniqueness; non-monotone;
asymptotic behavior; distributed delays.
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Hui-Ling Zhou College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: hlzhou@163.com | |
Zhixian Yu College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: zxyu0902@163.com |
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