Multiple Periodic Solutions of Differential Delay Equations with 2k-1 Lags  

作　　者：Lin LI Hua-fei SUN Wei-gao GE 

机构地区：[1]School of Mathematics and Statistics,Beijing Institute of Technology,Beijing 100081,China

出　　处：《Acta Mathematicae Applicatae Sinica》2020年第2期390-400,共11页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundations of China(No.61179031).

摘　　要：In this paper,we study the periodic solutions to a type of differential delay equations with 2 k-1 lags.The 4 k-periodic solutions are obtained by using the variational method and the method of Kaplan-Yorke coupling system.This is a new type of differential delay equations compared with all the previous researches.And this paper provides a theoretical basis for the study of differential delay equations.An example is given to demonstrate our main results.

关 键 词：DIFFERENTIAL DELAY EQUATION PERIODIC solutions CRITICAL point theory VARIATIONAL method 

分 类 号：O175.2[理学—数学]