Entire solution originating from three fronts for a discrete diffusive equation

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.

Keywords


discrete diffusive equation; traveling front; entire solution; super-sub-solutions

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References


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DOI: http://dx.doi.org/10.5556/j.tkjm.48.2017.2442

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