Traveling wave solutions in delayed lattice differential equations with partial monotonicity

Jianhua Huang, Gang Lu, Shigui Ruan

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

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).

Original languageEnglish (US)
Pages (from-to)1331-1350
Number of pages20
JournalNonlinear Analysis, Theory, Methods and Applications
Volume60
Issue number7
DOIs
StatePublished - Mar 15 2005

Keywords

  • Cross-iteration scheme
  • Quasimonotonicity
  • Schauder's fixed point theorem
  • Upper and lower solutions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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