Periodic solution of second order impulsive delay differential systems via variational method

被引:8
作者
Chen, Dezhu [1 ]
Dai, Binxiang [1 ]
机构
[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
Impulse; Delay; Periodic solutions; Variational methods; HAMILTONIAN-SYSTEMS; EQUATIONS;
D O I
10.1016/j.aml.2014.06.019
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we use variational methods to investigate the existence of periodic solutions for some second order delay differential systems with impulsive effects. Some new methods and results are obtained. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:61 / 66
页数:6
相关论文
共 8 条
[1]   Solvability of second-order Hamiltonian systems with impulses via variational method [J].
Bai, Liang ;
Dai, Binxiang ;
Li, Feng .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (14) :7542-7555
[2]   Existence of multiple periodic solutions for a class of second-order delay differential equations [J].
Guo, Chengjun ;
Guo, Zhiming .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) :3285-3297
[3]   Periodic solutions for a class of nonautonomous second order Hamiltonian systems [J].
He, Xiumei ;
Wu, Xian .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (02) :1354-1364
[4]   Variational formulation of a damped Dirichlet impulsive problem [J].
Nieto, Juan J. .
APPLIED MATHEMATICS LETTERS, 2010, 23 (08) :940-942
[5]   Variational approach to impulsive differential equations [J].
Nieto, Juan J. ;
O'Regan, Donal .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) :680-690
[6]   The existence and multiplicity of solutions for an impulsive differential equation with two parameters via a variational method [J].
Sun, Juntao ;
Chen, Haibo ;
Yang, Liu .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (02) :440-449
[7]   Applications of variational methods to boundary-value problem for impulsive differential equations [J].
Tian, Yu ;
Ge, Weigao .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2008, 51 :509-527
[8]   Multiplicity results of periodic solutions for a class of second order delay differential systems [J].
Wu, Ke ;
Wu, Xian ;
Zhou, Fen .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (15) :5836-5844