Multiple periodic solutions for damped vibration systems with superquadratic terms at infinity

被引：1

作者：

Li, Ping ^{[1
]}

Chen, Guanwei ^{[1
]}

机构：

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

来源：

BOUNDARY VALUE PROBLEMS | 2019年 / 2019卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Damped vibration systems; Periodic solutions; Superquadratic;

D O I：

10.1186/s13661-019-01306-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using variational methods, we obtain infinitely many nontrivial periodic solutions for a class of damped vibration systems with superquadratic terms at infinity. By using some weaker conditions, our results extend and improve some existing results in the literature. Besides, some examples are given to illustrate our results.

引用

页数：12

共 50 条

[11] Ground state homoclinic orbits of superquadratic damped vibration systems
Chen, Guanwei
Zhao, Xiaoming
ADVANCES IN DIFFERENCE EQUATIONS, 2014, : 1 - 13
[12] Ground state homoclinic orbits of superquadratic damped vibration systems
Guanwei Chen
Xiaoming Zhao
Advances in Difference Equations, 2014
[13] Periodic solutions for a class of superquadratic Hamiltonian systems
Tao, Zhu-Lian
Yan, Shang'an
Wu, Song-Lin
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (01) : 152 - 158
[14] Multiple periodic solutions for superquadratic first-order discrete Hamiltonian systems
Chen, Shang-Jie
Tang, Chun-Lei
APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (02) : 495 - 500
[15] Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems
Guo, ZM
Yu, JS
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 55 (7-8) : 969 - 983
[16] Periodic and subharmonic solutions for a class of superquadratic second order Hamiltonian systems
Ye, Yi-Wei
Tang, Chun-Lei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 2298 - 2307
[17] Periodic solutions for a class of new superquadratic second order Hamiltonian systems
Tang, Chun-Lei
Wu, Xing-Ping
APPLIED MATHEMATICS LETTERS, 2014, 34 : 65 - 71
[18] PERIODIC AND SUBHARMONIC SOLUTIONS FOR A CLASS OF SUPERQUADRATIC FIRST ORDER HAMILTONIAN SYSTEMS
Wang, Zhiyong
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2023, 15 (04): : 381 - 393
[19] Periodic and subharmonic solutions for a class of superquadratic Hamiltonian systems
Ou, ZQ
Tang, CL
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 58 (3-4) : 245 - 258
[20] Periodic and subharmonic solutions of a class of superquadratic Hamiltonian systems
Chen, SJ
Tang, CL
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 297 (01) : 267 - 284

← 1 2 3 4 5 →