Entire solutions of a time periodic and non-local delayed reaction-diffusion equation without quasi-monotonicity. (Chinese. English summary) Zbl 1474.35055
Summary: 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.