数学物理学报 ›› 2009, Vol. 29 ›› Issue (2): 465-474.

• 论文 • 上一篇    下一篇

一类周期反应扩散方程正周期解的存在性

  

  1. (浙江大学控制科学与工程学系  杭州 310027)
  • 收稿日期:2007-12-22 修回日期:2009-01-11 出版日期:2009-04-25 发布日期:2009-04-25
  • 基金资助:

    国家自然科学基金(60374051)和杭州电子科技大学青年科研基金(KYF091504021)资助

The Existence of Positive Periodic Solutions for a Kind of Periodic Reaction-diffusion Equations

  1. (Department of Control Science and Engineering, Zhejiang University, Hangzhou 310027)
  • Received:2007-12-22 Revised:2009-01-11 Online:2009-04-25 Published:2009-04-25
  • Supported by:

    国家自然科学基金(60374051)和杭州电子科技大学青年科研基金(KYF091504021)资助

摘要:

该文运用周期抛物型算子理论, Schauder估计和分歧理论讨论了一类周期反应扩散方程, 即带扩散项捕食-食饵系统的周期解的存在性, 得出了系统正周期解存在的充要条件.

关键词: 反应扩散方程, Schauder估计, 正周期解, 分歧

Abstract:

By means of the property of periodic parabolic operators, Schauder estimates and global bifurcation theory, the coexistence state of time-periodic solutions for reaction-diffusion equations, a kind of two-species periodic
predator-prey systems, are investigated. The necessary and sufficient conditions for the existence of positive periodic solutions are obtained.

Key words: Reaction-diffusion equations, Schauder estimates, Positive periodic solutions, Theory of bifurcation

中图分类号: 

  • 35K57