Multiple solutions to damped Hamiltonian systems with impulsive effects

被引：9

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

页码：173 / 180

页数：8

共 50 条

[41] MULTIPLE SOLUTIONS FOR SUPERLINEAR ELLIPTIC SYSTEMS OF HAMILTONIAN TYPE
Zhang, Rumei
Chen, Jin
Zhao, Fukun
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 30 (04) : 1249 - 1262
[42] Subharmonic solutions for a class of second-order impulsive Lagrangian systems with damped term
Xingyong Zhang
Boundary Value Problems, 2013
[43] Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems
Deng, Chunhua
Wu, Dong-Lun
BOUNDARY VALUE PROBLEMS, 2018,
[44] Multiple Periodic Solutions to Nonlinear Discrete Hamiltonian Systems
Bo Zheng
Advances in Difference Equations, 2007
[45] Multiple periodic solutions for Hamiltonian systems with singular potential
Salvatore, A.
Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei, Matematica e Applicazioni, 1993, 3 (09):
[46] Multiple periodic solutions to nonlinear discrete Hamiltonian systems
Zheng, Bo
ADVANCES IN DIFFERENCE EQUATIONS, 2007, 2007 (1)
[47] Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems
Chunhua Deng
Dong-Lun Wu
Boundary Value Problems, 2018
[48] Multiple periodic solutions of Hamiltonian systems with prescribed energy
An, Tianqing
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 236 (01) : 116 - 132
[49] Nonnegative solutions and multiple solutions for a class of weighted Hamiltonian subelliptic systems
Nguyen Thi Thu Huong
Nguyen Nhu Thang
Journal of Pseudo-Differential Operators and Applications, 2021, 12
[50] P-index theory for linear Hamiltonian systems and multiple solutions for nonlinear Hamiltonian systems
Dong, Yujun
NONLINEARITY, 2006, 19 (06) : 1275 - 1294

← 1 2 3 4 5 →