Global asymptotic stability of minimal fronts in monostable lattice equations

Shiwang Ma; Xiao-Qiang Zhao

doi:10.3934/dcds.2008.21.259

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2008, Volume 21, Issue 1: 259-275. Doi: 10.3934/dcds.2008.21.259

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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
2.
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C 5S7

Received: December 31, 2006

Revised: April 30, 2007

Published: December 2007

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B40, 37L60; Secondary: 35K57, 37L15.

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