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
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