Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842689 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 9 Pages |
Abstract
This paper is concerned with the existence, asymptotic stability and uniqueness of traveling wavefronts in a nonlocal diffusion equation with delay. By constructing proper upper and lower solutions, the existence and asymptotic behavior of traveling wavefronts are established. Then the asymptotic stability with phase shift as well as the uniqueness up to translation of traveling wavefronts are proved by applying the idea of squeezing technique.
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Authors
Shuxia Pan, Wan-Tong Li, Guo Lin,