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

作　　者：王双明 WANG SHUANGMING(School of Information Engineering,Lanzhou University of Finance and Economics,Lanzhou 730020,China)

机构地区：[1]兰州财经大学信息工程学院,兰州730020

出　　处：《应用数学学报》2020年第4期668-683,共16页Acta Mathematicae Applicatae Sinica

基　　金：甘肃省科技计划(18JR3RA217);甘肃省高等学校创新基金项目(2020A-062);兰州财经大学科研项目(Lzufe2019B-006)资助.

摘　　要：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.

关 键 词：整体解 周期行波 周期非局部方程 非拟单调 

分 类 号：O175[理学—数学]