一类具时间周期和非局部时滞的非拟单调反应扩散方程的整体解

Entire Solutions of a Time Periodic and Non-local Delayed Reaction-diffusion Equation without Quasi-monotonicity

研究了一类不具有拟单调性的时间周期非局部时滞反应扩散方程的新型整体解.为了克服拟单调性条件缺失带来的困难,借助于两个拟单调辅助方程的周期行波解和相应空间齐次方程的全轨道构造了新型的整体解.

The current paper is concerned with new types of entire solutions of a time periodic and nonlocal delayed reaction-diffusion equation without quasi-monotonicity.To overcome the lack of quasi-monotonicity,we construct new types of entire solutions via the time periodic traveling waves of two auxiliary quasi-monotone equations and the full orbits of corresponding spatial homogeneous equations.