Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system |
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| Authors: | Jong-Shenq Guo |
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| Institution: | a Department of Mathematics, National Taiwan Normal University, 88, S-4 Ting Chou Road, Taipei 11677, Taiwan
b Department of Applied Mathematics, National Chung Hsing University, 250, Kuo Kuang Road, Taichung 402, Taiwan |
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| Abstract: | We study the traveling waves for a lattice dynamical system with monostable nonlinearity in periodic media. It is well known that there exists a minimal wave speed such that a traveling wave exists if and only if the wave speed is above this minimal wave speed. In this paper, we first derive a stability theorem for certain waves of non-minimal speed. Moreover, we show that wave profiles of a given speed are unique up to translations. |
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| Keywords: | primary 34K05 34A34 secondary 34K60 34E05 |
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