Ground state homoclinic orbits of damped vibration problems

被引：11

作者：

Chen, Guan-Wei ^{[1
]}

Wang, Jian ^{[1
]}

机构：

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

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

non-periodic damped vibration problems; ground state homoclinic orbits; superquadratic nonlinearity; 2ND-ORDER HAMILTONIAN-SYSTEMS; EXISTENCE; MULTIPLICITY;

D O I：

10.1186/1687-2770-2014-106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of non-periodic damped vibration problems with superquadratic nonlinearities. We study the existence of nontrivial ground state homoclinic orbits for this class of damped vibration problems under some conditions weaker than those previously assumed. To the best of our knowledge, there has been no work focused on this case.

引用

页数：15

共 50 条

[1] Ground state homoclinic orbits of damped vibration problems
Guan-Wei Chen
Jian Wang
Boundary Value Problems, 2014
[2] Ground state homoclinic orbits of superquadratic damped vibration systems
Guanwei Chen
Xiaoming Zhao
Advances in Difference Equations, 2014
[3] Ground state homoclinic orbits of superquadratic damped vibration systems
Chen, Guanwei
Zhao, Xiaoming
ADVANCES IN DIFFERENCE EQUATIONS, 2014, : 1 - 13
[4] On Ground-State Homoclinic Orbits of a Class of Superquadratic Damped Vibration Systems
Mohsen Timoumi
Mediterranean Journal of Mathematics, 2018, 15
[5] On Ground-State Homoclinic Orbits of a Class of Superquadratic Damped Vibration Systems
Timoumi, Mohsen
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (02)
[6] On homoclinic orbits for a class of damped vibration systems
Juntao Sun
Juan J Nieto
Mario Otero-Novoa
Advances in Difference Equations, 2012
[7] On homoclinic orbits for a class of damped vibration systems
Sun, Juntao
Nieto, Juan J.
Otero-Novoa, Mario
ADVANCES IN DIFFERENCE EQUATIONS, 2012,
[8] Ground State Homoclinic Solutions for Damped Vibration Systems with Periodicity
Timoumi, Mohsen
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2025, 33 (01) : 333 - 354
[9] Fast homoclinic orbits for a class of damped vibration systems
Wafa Selmi
Mohsen Timoumi
Ricerche di Matematica, 2022, 71 : 431 - 440
[10] Fast homoclinic orbits for a class of damped vibration systems
Selmi, Wafa
Timoumi, Mohsen
RICERCHE DI MATEMATICA, 2022, 71 (02) : 431 - 440

← 1 2 3 4 5 →