Shi-Liang Wu, San-Yang Liu
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.
Submitted March 18, 2013. Published May 16, 2013.
Math Subject Classifications: 35B40, 35R10, 37L60, 58D25.
Key Words: Entire solution; traveling wave front; monostable nonlinearity;
non-local delayed lattice differential equation.
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Shi-Liang Wu Department of Mathematics, Xidian University Xi'an, Shaanxi 710071, China email: slwu@xidian.edu.cn | |
San-Yang Liu Department of Mathematics, Xidian University Xi'an, Shaanxi 710071, China email: liusanyang@126.com |
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