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.
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.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2009年第2期465-474,共10页
Acta Mathematica Scientia
基金
国家自然科学基金(60374051)
杭州电子科技大学青年科研基金(KYF091504021)资助
关键词
反应扩散方程
SCHAUDER估计
正周期解
分歧.
Reaction-diffusion equations
Sehauder estimates
Positive periodic solutions
Theory of bifurcation.