中文核心期刊
CSCD来源期刊
中国科技核心期刊
RCCSE中国核心学术期刊
Journal of Chongqing Jiaotong University(Natural Science)

Journal of Chongqing Jiaotong University(Natural Science) ›› 2009, Vol. 28 ›› Issue (2): 330-332.DOI: 10.3969/j.issn.1674-0696.2009.02.40

Previous Articles    

Periodic Solution for a Class of Non-Autonomous Second Order Systems

JIA Hong-en1, LIU Xi-lan2   

  1. 1. School of Scienees, Xi＇an Jiaotong University, Shanxi Xi＇an 710049, China; 2. Department of Mathematics, Shanxi Datong University, Shanxi Datong 037009, China
  • Received:2008-08-23 Revised:2008-10-24 Online:2009-04-15 Published:2015-04-15

一类非自治二阶系统的周期解

贾宏恩1,刘喜兰2   

  1. 1.西安交通大学理学院,陕西西安710049;2.山西大同大学数学系,山西大同037009
  • 作者简介:贾宏恩(1981—),男,山西忻州人,博士研究生,主要从事微分方程的理论及其应用方面的研究。
  • 基金资助:
    教育部科学技术研究重点项目(208154);第42批博士后科学基金(20070421106）

PDF

Abstract: Existence of periodic solutions for a class of non-autonomous second order systems is studied. Some new existence condition is considered,and four new existence theorems are obtained by using the least action principle under new condition.

Key words: periodic solution , potential function , the least action principle ;

摘要： 研究了一类非自治二阶系统周期解的存在性。给出了一些新的存在条件,在这些条件下,使用极小作用原 理,得到了4个新的存在性定理。

关键词: 周期解, 位势函数, 极小作用原理

CLC Number: