Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 72, Issue 6, Pages 3150-3158Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2009.12.008
Keywords
Traveling wavefronts; Comparison principle; Upper and lower solutions
Categories
Funding
- NNSF of China [10871085]
- NSF of Gansu Province of China [096RJZA051]
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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. (C) 2009 Elsevier Ltd. All rights reserved.
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