Article ID Journal Published Year Pages File Type
837530 Nonlinear Analysis: Real World Applications 2012 12 Pages PDF
Abstract

This paper is concerned with the global stability of traveling wave fronts of a non-local delayed lattice differential equation. By the comparison principle together with the semi-discrete Fourier transform, we prove that, all noncritical traveling wave fronts are globally stable in the form of t−1/αe−μtt−1/αe−μt for some constants μ>0μ>0 and 0<α≤20<α≤2, and the critical traveling wave fronts are globally stable in the algebraic form of t−1/αt−1/α.

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Physical Sciences and Engineering Engineering Engineering (General)
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