TITLE:
Existence of Traveling Waves in Lattice Dynamical Systems
AUTHORS:
Xiaojun Li, Yong Jiang, Ziming Du
KEYWORDS:
Traveling Wave, Lattice Dynamical Systems, Schauder’s Fixed Point Theorem
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.7,
July
22,
2016
ABSTRACT:
Existence of traveling wave solutions for some lattice
differential equations is investigated. We prove that there exists c*>0such that for each c≥c*, the systems under consideration admit monotonic
nondecreasing traveling waves.