Entire solution originating from three fronts for a discrete diffusive equation

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Published: Jun 30, 2017
DOI: https://doi.org/10.5556/j.tkjm.48.2017.2442
Keywords:
discrete diffusive equation traveling front entire solution super-sub-solutions

Main Article Content

Yan Yu Chen

Abstract

In this paper, we study a discrete diffusive equation with a bistable nonlinearity. For this equation, there are three types of traveling fronts. By constructing some suitable pairs of super-sub-solutions, we show that there are only two types of entire solutions originating from three fronts of this equation. These results show us some new dynamics of this discrete diffusive equation.

Article Details

How to Cite
Chen, Y. Y. (2017). Entire solution originating from three fronts for a discrete diffusive equation. Tamkang Journal of Mathematics, 48(2), 215–226. https://doi.org/10.5556/j.tkjm.48.2017.2442
Issue
Vol. 48 No. 2 (2017)
Section
Papers
Author Biography

Yan Yu Chen

Department of Mathematics, Tamkang University, 151, Yingzhuan Road, Tamsui, New Taipei City 25137, Taiwan.

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