Existence of entire solutions for non-local delayed lattice differential equations

Abstract

In this article we study entire solutions for a non-local delayed lattice differential equation with monostable nonlinearity. First, based on a concavity assumption of the birth function, we establish a comparison theorem. Then, applying the comparison theorem, we show the existence and some qualitative features of entire solutions by mixing a finite number of traveling wave fronts with a spatially independent solution.

Keywords

• Entire solution
• traveling wave front
• monostable nonlinearity
• non-local delayed lattice differential equation