J4 ›› 2012, Vol. 50 ›› Issue (03): 501-.

• 数学 • 上一篇    下一篇

2n阶时滞微分方程周期解的存在性

程敬松1,2, 刘淑媛1,3, 李秀文1   

  1. 1. 吉林大学 数学学院, 长春 130012|2. 吉林交通职业技术学院 基础部, 长春 130012;3. 吉林工商学院 基础部, 长春 130062
  • 收稿日期:2012-04-19 出版日期:2012-05-26 发布日期:2012-05-28
  • 通讯作者: 程敬松 E-mail:cjs6308@sina.com

Existence of Periodic Solutions of 2nOrder Delay Differential Equation[JP]

CHENG Jingsong1,2, LIU Shuyuan1,3, LI Xiuwen1   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China|2. Department of Basic Course, Jilin Vocational &|Technical Institute |of Communication, Changchun 130012, China|3. Department of Basic Course, |Jilin Institute of Business, Changchun 130062, China
  • Received:2012-04-19 Online:2012-05-26 Published:2012-05-28
  • Contact: CHENG Jingsong E-mail:cjs6308@sina.com

摘要:

利用上下解方法研究2n阶时滞微分方程周期边值问题, 建立了2n(n≥1)阶时滞微分方程周期边值问题解存在的充分条件.

关键词: 2n阶边值问题; 先验边界; 周期解

Abstract:

We studied problems about 2n-order delay differential equations with periodic boundary value  using the upper and lower solution method, and established some suffcient conditions for the existence of the solutions of  2n(n≥1)order periodic boundary value problems.

Key words:  2norder boundary value problem, priori boundary, periodic solutions

中图分类号: 

  • O175