Yun-Rui Yang, Nai-Wei Liu
Abstract:
This article establishes the monotonicity, uniqueness and Liapunov
stability of traveling waves for bistable systems with delay.
We use an elementary super-subsolution comparison method and a
moving plane technique. Also an example is given to illustrate our
results.
Submitted June 27, 2013. Published January 3, 2014.
Math Subject Classifications: 34K18, 37G10, 37G05.
Key Words: Monotonicity; uniqueness; Lyapunov stability;
traveling waves; super-sub solutions.
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Yun-Rui Yang School of Mathematics and Physics Lanzhou Jiaotong University Lanzhou, Gansu 730070, China email: lily1979101@163.com | |
Nai-Wei Liu School of Mathematics and Information Science Yantai University, YanTai, Shandong 264005, China. School of Mathematics, Shandong University Jinan, Shandong 250100, China email: liunaiwei@yahoo.com.cn |
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