Existence of Traveling Waves in Lattice Dynamical Systems - Journal of Applied Mathematics and Physics

JAMP > Vol.4 No.7, July 2016

Existence of Traveling Waves in Lattice Dynamical Systems ()

HTML XML

Download as PDF (Size: 344KB) PP. 1231-1236

DOI: 10.4236/jamp.2016.47128 1,193 Downloads 1,912 Views

Author(s)

Xiaojun Li, Yong Jiang, Ziming Du

Affiliation(s)

School of Science, Hohai University, Nanjing, China.

ABSTRACT

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.

KEYWORDS

Traveling Wave, Lattice Dynamical Systems, Schauder’s Fixed Point Theorem

Share and Cite:

Li, X. , Jiang, Y. and Du, Z. (2016) Existence of Traveling Waves in Lattice Dynamical Systems. Journal of Applied Mathematics and Physics, 4, 1231-1236. doi: 10.4236/jamp.2016.47128.

Journals Menu