Periodic solution generated by impulses for singular differential equations

被引：36
作者：
Sun, Juntao [1 ]
Chu, Jifeng [2 ]
Chen, Haibo [3 ]
机构：
[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China
[2] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China
[3] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 404卷 / 02期
基金：
湖南省自然科学基金; 中国国家自然科学基金; 中国博士后科学基金;
关键词：
Positive periodic solution; Singular differential equations; Impulses; Variational methods; 2ND-ORDER HAMILTONIAN-SYSTEMS; BOUNDARY-VALUE-PROBLEMS; HOMOCLINIC SOLUTIONS; VARIATIONAL-METHODS; MULTIPLICITY;
D O I：
10.1016/j.jmaa.2013.03.036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of a positive periodic solution for second-order singular differential equations with impulsive conditions. The proof is based on the mountain-pass theorem. We show that this positive periodic solution is generated by impulses. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：562 / 569
页数：8
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