PERIODIC SOLUTIONS FOR A CLASS OF NON-AUTONOMOUS HAMILTONIAN SYSTEMS WITH p(t)-LAPLACIAN

被引：0

作者：

Wang, Zhiyong ^{[1
]}

Qian, Zhengya ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Dept Math, Nanjing 210044, Jiangsu, Peoples R China

来源：

MATHEMATICA BOHEMICA | 2024年 / 149卷 / 02期

基金：

中国国家自然科学基金;

关键词：

auxiliary functions; p(t)-Laplacian systems; periodic solution; (C) condition; generalized mountain pass theorem; SUBHARMONIC SOLUTIONS; EXISTENCE;

D O I：

10.21136/MB.2023.0096-22

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the existence of infinitely many periodic solutions for the p(t)-Laplacian Hamiltonian systems. By virtue of several auxiliary functions, we obtain a series of new super -p(+) growth and asymptotic -p+ growth conditions. Using the minimax methods in critical point theory, some multiplicity theorems are established, which unify and generalize some known results in the literature. Meanwhile, we also present an example to illustrate our main results are new even in the case p(t) = p = 2.

引用

页码：185 / 208

页数：25

共 50 条

[21] On periodic solutions of subquadratic second order non-autonomous Hamiltonian systems
Wang, Zhiyong
Xiao, Jianzhong
APPLIED MATHEMATICS LETTERS, 2015, 40 : 72 - 77
[22] Periodic solutions of some non-autonomous second order Hamiltonian systems
Yang, Rigao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) : 2333 - 2338
[23] PERIODIC SOLUTIONS FOR NON-AUTONOMOUS SECOND-ORDER DIFFERENTIAL SYSTEMS WITH (q,p)-LAPLACIAN
Li, Chun
Ou, Zeng-Qi
Tang, Chun-Lei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[24] Periodic solutions for a class of non-autonomous second order systems
Zhao, FK
Wu, M
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 296 (02) : 422 - 434
[25] SUBHARMONIC SOLUTIONS FOR NON-AUTONOMOUS SECOND-ORDER SUBLINEAR HAMILTONIAN SYSTEMS WITH p-LAPLACIAN
Wang, Zhiyong
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[26] New existence of periodic solutions for second order non-autonomous Hamiltonian systems
Zhang, Qiongfen
Tang, X. H.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (01) : 357 - 367
[27] The existence of periodic solutions of non-autonomous second-order Hamiltonian systems
Aizmahin, Nurbek
An, Tianqing
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (14) : 4862 - 4867
[28] EXISTENCE OF PERIODIC SOLUTIONS FOR NON-AUTONOMOUS SECOND-ORDER HAMILTONIAN SYSTEMS
Wu, Yue
An, Tianqing
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[29] Existence of normalized solutions to a class of non-autonomous (p, q)-Laplacian equations
Cui, Xiaoxiao
Li, Anran
Wei, Chongqing
ANALYSIS AND MATHEMATICAL PHYSICS, 2025, 15 (02)
[30] Periodic solutions for some nonautonomous p(t)-Laplacian Hamiltonian systems
Liang Zhang
X. H. Tang
Applications of Mathematics, 2013, 58 : 39 - 61

← 1 2 3 4 5 →