Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632006 | Applied Mathematics and Computation | 2010 | 10 Pages |
Abstract
This paper is concerned with the traveling waves for a class of delayed non-local diffusion equations with crossing-monostability. Based on constructing two associated auxiliary delayed non-local diffusion equations with quasi-monotonicity and a profile set in a suitable Banach space using the traveling wave fronts of the auxiliary equations, the existence of traveling waves is proved by Schauder’s fixed point theorem. The result implies that the traveling waves of the delayed non-local diffusion equations with crossing-monostability are persistent for all values of the delay τ⩾0τ⩾0.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shi-Liang Wu, San-Yang Liu,