期刊文献+

时滞格微分方程组的行波解 被引量:1

TRAVELING WAVE SOLUTIONS IN SYSTEMS OF DELAYED LATTICE DIFFERENTIAL EQUATIONS
下载PDF
导出
摘要 本文利用Schauder不动点定理的方法和上、下解技巧,研究了时滞格微分方程组的行波解,给出了当系统的非线性项满足“拟单调条件”和“指数拟单调条件”时行波解的存在性. This paper investigates the systems of delayed lattice differential equations. By Schauder fixed point theorem and upper-lower solutions technique, the existences of traveling wave front solution are established, both quasimonotone case and non-quasimonotone case are considered.
作者 黄建华 路钢
出处 《数学年刊(A辑)》 CSCD 北大核心 2004年第2期153-164,共12页 Chinese Annals of Mathematics
基金 国家自然科学基金(No.19971032)资助的项目.
关键词 行波解 Schaluder不动点定理 上下解 拟单调性 Traveling wave fronts, Schauder fixed point theorem, Upper and lower solutions, Quasimonotonicity
  • 相关文献

参考文献10

  • 1Anderson,A.R.A.& Sleemann,B.D.,Wave front propagation and its failure incoupled systems of discrete bistable cells modelled by Fitzhugh-Nagumo dynamics [J],Inter.J.Bifurcation and chaos,5:1(1995),63-74.
  • 2Hankerson,D.& Zinner,B.,Wave fronts for a cooperative triangonal system of differential equations [J],J.Dynamics and Differential Equations,5(1993),359-373.
  • 3Hsu,C.H.,Lin,S.S.& Shen,W.,Traveling waves in cellular neural networks [J],Int.J.Bifurcation and Chaos,9(1999),1307-1319.
  • 4Huang,J.& Zou,X.Traveling wave fronts for lattice differential equation with timedelay [J],Submitted to J.Comp.Appl.Math..
  • 5Keener,J.P.,Propagation and its failure to coupled systems of discrete excitable cells[J],SIAM J.Appl.Math.,47(1987),556-572.
  • 6enshaw,E.,Modelling Biological Populations in Space and Time [M],CambridgeUniv.Press,1991.
  • 7Wu,J.,Theory and Applications of Partial Functional Differential Equations [M],Springer-Verlag,New York,1996.
  • 8Wu,J.& Zou,X.,Asymptotic and periodic boundary value problems of mixed FDEsand wave solutions of lattice functional differential equations [J],J.Differential.Equations,135:2(1997),315-357.
  • 9Zinner,B.,Existence of traveling wave front solutions for the discrete Nagumo equation[J],J.Differential equations,96(1992),1 27.
  • 10Zinner,B.,Harris,G.& Hudson,W.,Traveling wave fronts for the discrete Fisher'sequation [J],J.Differential Equations,105(1993),46-62.

同被引文献3

引证文献1

二级引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部