Existence of traveling wave solutions for some lattice differential equations is investigated. We prove that there exists c*>0 such that for each c≥c*, the systems under consideration admit monotonic nondecreasing traveling waves.
 Chow, S., Mallet-Paret, J. and Shen, W. (1998) Traveling Waves in Lattice Dynamical Systems. Journal of Differential Equations, 149, 248-291. http://dx.doi.org/10.1006/jdeq.1998.3478
 Li, X. and Wang, D. (2007) Attractors for Partly Dissipative Lattice Dynamic Systems in Weighted Spaces. Journal of Mathematical Analysis and Applications, 325, 141-156. http://dx.doi.org/10.1016/j.jmaa.2006.01.054
 Ma, S. and Zou, X. (2005) Existence, Uniqueness and Stability of Traveling Waves in Adiscrete Reaction-Diffusion Monostable Equation with Delay. Journal of Differential Equations, 217, 54-87. http://dx.doi.org/10.1016/j.jde.2005.05.004
 Zinner, B. (1992) Existence of Traveling Wavefront Solutions for the Discrete Nagumo Equation. Journal of Differential Equations, 96, 1-27. http://dx.doi.org/10.1016/0022-0396(92)90142-A
 Li, X. (2011) Existence of Traveling Wavefronts of Nonlocal Delayed Lattice Differential Equations. Journal of Dynamical and Control Systems, 17, 427-449. http://dx.doi.org/10.1007/s10883-011-9124-1