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

[31] 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
[32] PERIODIC-SOLUTIONS OF SUPERQUADRATIC HAMILTONIAN-SYSTEMS
FELMER, PL
JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 102 (01) : 188 - 207
[33] On Ground-State Homoclinic Orbits of a Class of Superquadratic Damped Vibration Systems
Mohsen Timoumi
Mediterranean Journal of Mathematics, 2018, 15
[34] MULTIPLE HOMOCLINIC SOLUTIONS FOR SUPERQUADRATIC HAMILTONIAN SYSTEMS
Jiang, Wei
Zhang, Qingye
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[35] INFINITELY MANY FAST HOMOCLINIC ORBITS FOR A CLASS OF SUPERQUADRATIC DAMPED VIBRATION SYSTEMS
Timoumi, Mohsen
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2020, 2020
[36] On Ground-State Homoclinic Orbits of a Class of Superquadratic Damped Vibration Systems
Timoumi, Mohsen
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (02)
[37] Minimal period estimates of periodic solutions for superquadratic Hamiltonian systems
Fei, GH
Kim, SK
Wang, TX
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 238 (01) : 216 - 233
[38] Existence of periodic solutions for a class of damped vibration problems
Wang, Zhiyong
Zhang, Jihui
COMPTES RENDUS MATHEMATIQUE, 2018, 356 (06) : 597 - 612
[39] Periodic solutions of a class of superquadratic second order Hamiltonian systems
Qun Y.
Deqing L.
Applied Mathematics-A Journal of Chinese Universities, 2000, 15 (3) : 259 - 266
[40] PERIODIC-SOLUTIONS OF HAMILTONIAN-SYSTEMS WITH SUPERQUADRATIC POTENTIAL
BENCI, V
CAPOZZI, A
FORTUNATO, D
ANNALI DI MATEMATICA PURA ED APPLICATA, 1986, 143 : 1 - 46

← 1 2 3 4 5 →