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January  2008, 21(1): 259-275. doi: 10.3934/dcds.2008.21.259

Global asymptotic stability of minimal fronts in monostable lattice equations

Shiwang Ma 1, and  Xiao-Qiang Zhao 2,

1. 

School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
2. 

Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C 5S7, Canada

Received  January 2007 Revised  May 2007 Published  February 2008

The global asymptotic stability with phase shift of traveling wave fronts of minimal speed, in short minimal fronts, is established for a large class of monostable lattice equations via the method of upper and lower solutions and a squeezing technique.
Keywords: minimal speed, lattice equations., Asymptotic stability, traveling waves.
Mathematics Subject Classification: Primary: 35B40, 37L60; Secondary: 35K57, 37L1.
Citation: Shiwang Ma, Xiao-Qiang Zhao. Global asymptotic stability of minimal fronts in monostable lattice equations. Discrete & Continuous Dynamical Systems, 2008, 21 (1) : 259-275. doi: 10.3934/dcds.2008.21.259
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