Solvability of second-order Hamiltonian systems with impulses via variational method

被引：9
作者：
Bai, Liang [1 ]
Dai, Binxiang [2 ]
Li, Feng [3 ]
机构：
[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Shanxi, Peoples R China
[2] Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China
[3] Linyi Univ, Sch Sci, Linyi 276005, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 14期
基金：
中国国家自然科学基金;
关键词：
Impulsive; Critical point; Hamiltonian systems; Variational method; PREDATOR-PREY MODEL; PERIODIC-SOLUTIONS; DIFFERENTIAL-EQUATIONS; MULTIPLICITY; EXISTENCE; DELAY; DYNAMICS;
D O I：
10.1016/j.amc.2013.01.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a class of second-order impulsive Hamiltonian systems are considered. Some new existence results are obtained by using a variational method and critical point theorem due to Tang and Wu. Some recent results are extended. Three examples are presented to illustrate the feasibility and effectiveness of our results. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：7542 / 7555
页数：14
相关论文
共 31 条
[1]  
[Anonymous], 1995, World Sci. Ser. Nonlinear Sci., Ser. A., DOI DOI 10.1142/2892
[2]   Three solutions for a p-Laplacian boundary value problem with impulsive effects [J].
Bai, Liang ;
Dai, Binxiang .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (24) :9895-9904
[3]   Existence and multiplicity of solutions for an impulsive boundary value problem with a parameter via critical point theory [J].
Bai, Liang ;
Dai, Binxiang .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (9-10) :1844-1855
[4]   PERIODIC-SOLUTIONS OF IMPULSIVE SYSTEMS WITH A SMALL DELAY [J].
BAINOV, DD ;
COVACHEV, VC .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (16) :5551-5563
[5]   Multiple periodic solutions for Hamiltonian systems with not coercive potential [J].
Bonanno, Gabriele ;
Livrea, Roberto .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 363 (02) :627-638
[6]   Three periodic solutions for perturbed second order Hamiltonian systems [J].
Cordaro, Giuseppe ;
Rao, Giuseppe .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (02) :780-785
[7]   Multiple periodic solutions for impulsive Gause-type ratio-dependent predator-prey systems with non-monotonic numerical responses [J].
Dai, Binxiang ;
Li, Ying ;
Luo, Zhenguo .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (18) :7478-7487
[8]   Periodic solution of a delayed ratio-dependent predator-prey model with monotonic functional response and impulse [J].
Dai, Binxiang ;
Su, Hua ;
Hu, Dianwang .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) :126-134
[9]   On impulsive control of a periodically forced chaotic pendulum system [J].
Guan, ZH ;
Chen, GR ;
Ueta, T .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (09) :1724-1727
[10]   Existence of positive periodic solution of a neutral impulsive delay predator-prey system [J].
Huo, Hai-Feng ;
Li, Wan-Tong .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 185 (01) :499-507
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