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Traveling wave solutions in delayed lattice differential equations with partial monotonicity
Journal article   Peer reviewed

Traveling wave solutions in delayed lattice differential equations with partial monotonicity

Jianhua Huang, Gang Lu and Shigui Ruan
Nonlinear analysis, Vol.60(7), pp.1331-1350
2005
DOI: https://doi.org/10.1016/j.na.2004.10.020

Abstract

Schauder's fixed point theorem Cross-iteration scheme Upper and lower solutions Quasimonotonicity
In this paper, we investigate a system of delayed lattice differential equations with partial monotonicity. By using Schauder's fixed point theorem, a new cross-iteration scheme is given to establish the existence of traveling wave solutions. Our main results can deal with the existence of traveling wave solution for a class of delayed reaction diffusion system with partial monotonicity and generalize the results of Wu and Zou (J. Differential Equations 135 (1997) 315–357).

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9 Mathematics
9.162 Numerical Methods
9.162.476 Global Stability
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Mathematics
Mathematics, Applied
ESI research areas
Mathematics

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