Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits

被引：6

作者：

Chen, Guanwei ^{[1
]}

机构：

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

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

2ND-ORDER HAMILTONIAN-SYSTEMS; INDEFINITE FUNCTIONALS; EXISTENCE; MULTIPLICITY; THEOREMS;

D O I：

10.1155/2013/937128

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of nonperiodic damped vibration systems with asymptotically quadratic terms at infinity. We obtain infinitely many nontrivial homoclinic orbits by a variant fountain theorem developed recently by Zou. To the best of our knowledge, there is no result published concerning the existence (or multiplicity) of nontrivial homoclinic orbits for this class of non-periodic damped vibration systems with asymptotically quadratic terms at infinity.

引用

页数：7

共 50 条

[41] Infinitely many homoclinic solutions for sublinear and nonperiodic Schrödinger lattice systems
Guanwei Chen
Jijiang Sun
Boundary Value Problems, 2021
[42] Infinitely many homoclinic orbits for the second-order Hamiltonian systems with super-quadratic potentials
Yang, Jie
Zhang, Fubao
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (03) : 1417 - 1423
[43] Ground state homoclinic orbits of superquadratic damped vibration systems
Chen, Guanwei
Zhao, Xiaoming
ADVANCES IN DIFFERENCE EQUATIONS, 2014, : 1 - 13
[44] Ground state homoclinic orbits of superquadratic damped vibration systems
Guanwei Chen
Xiaoming Zhao
Advances in Difference Equations, 2014
[45] Superquadratic or asymptotically quadratic Hamiltonian systems: ground state homoclinic orbits
Chen, Guan-Wei
ANNALI DI MATEMATICA PURA ED APPLICATA, 2015, 194 (03) : 903 - 918
[46] HOMOCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS WITH SUPERQUADRATIC OR ASYMPTOTICALLY QUADRATIC POTENTIALS
Wang, Jun
Xu, Junxiang
Zhang, Fubao
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (01) : 269 - 286
[47] Infinitely many homoclinic orbits for discrete Hamiltonian systems with subquadratic potential
Tang, X. H.
Lin, Xiaoyan
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (05) : 796 - 813
[48] Superquadratic or asymptotically quadratic Hamiltonian systems: ground state homoclinic orbits
Guan-Wei Chen
Annali di Matematica Pura ed Applicata (1923 -), 2015, 194 : 903 - 918
[49] Infinitely many homoclinic orbits for the second-order Hamiltonian systems
Zou, WM
Li, SJ
APPLIED MATHEMATICS LETTERS, 2003, 16 (08) : 1283 - 1287
[50] Homoclinic Orbits for a Class of Nonperiodic Hamiltonian Systems
Qin, Wenping
Zhang, Jian
Zhao, Fukun
ABSTRACT AND APPLIED ANALYSIS, 2012,

← 1 2 3 4 5 →