一类反应扩散方程的正周期解及其稳定性

The Positive Periodic Solution of Reaction-Diffusion Equations and Its Stability

运用渐近展开的方法和谱的解析摄动理论，讨论了一类反应扩散方程的时间周期解的分歧问题，给出了正周期解存在的充要条件，并对分歧方向及稳定性进行了分析．

he bifurcation of periodic solutions to a class of reaction-diffusion equations is discussed using the method of asymptotic expansion and the analytic perturbation theory of spectrum. The necessary and sufficient conditions for the existence of positive periodic solutions are given and the direction of bifurcation as well as the stability are analyzed.