Multiple solutions to damped Hamiltonian systems with impulsive effects

被引：10
作者：
Liu, Jian [1 ]
Zhao, Zengqin [2 ]
Zhang, Tongqian [3 ]
机构：
[1] Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan 250014, Shandong, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 91卷
基金：
中国国家自然科学基金;
关键词：
Hamiltonian systems; Triple solutions; Damped term; Impulsive effects; VARIATIONAL APPROACH;
D O I：
10.1016/j.aml.2018.12.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we aim to prove the existence of solutions for impulsive Hamiltonian systems with first derivative. Two theorems of the existence of triple solutions are obtained via variational methods and three-critical-points theorems. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：173 / 180
页数：8
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