文献类型：期刊文献

英文题名：MULTIPLE PERIODIC SOLUTIONS OF DELAY DIFFERENTIAL SYSTEMS WITH 2k-1 LAGS VIA VARIATIONAL APPROACH

作者：Ge, Weigao[1];Zhang, Li[2]

第一作者：Ge, Weigao

通讯作者：Zhang, L[1]

机构：[1]Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China;[2]Beijing Union Univ, Dept Fdn Courses, Beijing 100101, Peoples R China

第一机构：Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

通讯机构：[1]corresponding author), Beijing Union Univ, Dept Fdn Courses, Beijing 100101, Peoples R China.|[1141788]北京联合大学基础教学部;[11417]北京联合大学;

年份：2016

卷号：36

期号：9

起止页码：4925-4943

外文期刊名：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000378378600012)】；

基金：The second author is supported by National Natural Science Foundation of China grant 71373023, Beijing Natural Science Foundation grant 1152002, China Scholarship Council grant 201508110021, Academic Human Resources Development in Beijing Union University grant 82210611601/004 and Rk100201509.

语种：英文

外文关键词：Periodic solution; differential delay system; variational approach; critical point

摘要：By variational methods, this paper considers 4k-periodic solutions of a kind of differential delay systems with 2k - 1 lags. Our results reveal the fact that the number of 4k periodic orbits depends only upon the eigenvalues of both matrices A and Ao. The conditions are more definite and easier to be examined. Moreover, two examples are given to illustrate the applications of the results.