Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837530 | Nonlinear Analysis: Real World Applications | 2012 | 12 Pages |
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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Authors
Guo-Bao Zhang,