Homoclinic orbits of sub-linear Hamiltonian systems with perturbed terms

被引：0

作者：

Lv, Haiyan ^{[1
]}

Chen, Guanwei ^{[2
]}

机构：

[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R China

[2] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2021年 / 2021卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Perturbed Hamiltonian systems; Sub-linear; Homoclinic orbits; EXISTENCE;

D O I：

10.1186/s13661-021-01510-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using variational methods, we obtain the existence of homoclinic orbits for perturbed Hamiltonian systems with sub-linear terms. To the best of our knowledge, there is no published result focusing on the perturbed and sub-linear Hamiltonian systems.

引用

页数：7

共 50 条

[1] Homoclinic orbits of sub-linear Hamiltonian systems with perturbed terms
Haiyan Lv
Guanwei Chen
Boundary Value Problems, 2021
[2] HOMOCLINIC　ORBITS　IN　PERTURBED　GENERALIZED　HAMILTONIAN　SYSTEMS
赵晓华
李继彬
黄克累
Acta Mathematica Scientia, 1996, (04)
[3] Homoclinic orbits in perturbed generalized Hamiltonian systems
Zhao, XH
Li, JB
Huang, KL
ACTA MATHEMATICA SCIENTIA, 1996, 16 (04) : 361 - 374
[4] Homoclinic orbits for second order Hamiltonian systems with asymptotically linear terms at infinity
Chen, Guanwei
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[5] Homoclinic orbits for second order Hamiltonian systems with asymptotically linear terms at infinity
Guanwei Chen
Advances in Difference Equations, 2014
[6] Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms
CHEN WenXiong1
2Institute of Mathematics
3Department of Mathematics
Science China Mathematics, 2011, (12) : 2583 - 2596
[7] Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms
WenXiong Chen
MinBo Yang
YanHeng Ding
Science China Mathematics, 2011, 54 : 2583 - 2596
[8] Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms
Chen WenXiong
Yang MinBo
Ding YanHeng
SCIENCE CHINA-MATHEMATICS, 2011, 54 (12) : 2583 - 2596
[9] Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms
CHEN WenXiong YANG MinBo DING YanHeng School of Mathematical Science Huaqiao University Quanzhou ChinaInstitute of Mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing ChinaDepartment of Mathematics Zhejiang Normal University Jinhua China
Science China(Mathematics), 2011, 54 (12) : 2583 - 2596
[10] Homoclinic Orbits for Hamiltonian Systems with Small Forced Terms
Chengyue LI
Zhiwei XIAO
Mengmeng WANG
Journal of Mathematical Research with Applications, 2014, 34 (05) : 619 - 626

← 1 2 3 4 5 →