期刊文献+

一类带时滞生物反应扩散方程的行波解

Traveling Wave Solutions for a Reaction-diffusion Biology System with Delay
下载PDF
导出
摘要 研究了非单调性时滞微分方程的异宿轨解。 This paper studies the heteroclinic solutions of delay differential equations with non-monotone property, and in light of the theory developed by Faria etc., explores into the existence of traveling wave solution of a certain reaction-diffusion biology model.
作者 王宗毅
机构地区 惠州学院数学系
出处 《惠州学院学报》 2015年第3期22-29,共8页 Journal of Huizhou University
关键词 非单调性 时滞微分方程 反应扩散方程 行波解 Non-monotonicity delay differential equation reaction-diffusion equation traveling wave solution
  • 相关文献

参考文献6

  • 1CHOW S N, HALE J K. Methods of Bifurcation Theory, New York:Springer - Verlag, 1982.
  • 2CHOW S N, LIN X B, MALLET-PARET J. Transition layers for singularly perturbed delay differential equations with monotone nonlinearities, J. Dynamics and Diff. Equations, 1, 3-43,1989.
  • 3FARIA T, HUANG W Z, WU J H. Traveling waves for delayed reaction-diffusion equations with global response, Proc. Royal. Soc.(A), 46, 229 - 261,2006.
  • 4HALE J K. Theory of Functional Difrrential Equations, New York: Springer-Verlag, 1977.
  • 5MARTIN R H, SMITH H L. Abstract functional differential equations and reaction-diffusion systems, Trans. Amer. Math. Soc., 21, 1 -44, 1990.
  • 6WENG P X, HUANG H X, WU J H. Asymptotic speed of propagation of wave fronts in a lattice delay differential equation with global interaction, IMA J. of Applied Math., 68, 409 - 439, 2003.

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