Multiple periodic solutions of nonautonomous second-order differential systems with (q, p)-Laplacian and partially periodic potentials

被引:0
作者
Hu, Zhihua [1 ]
Jiang, Qin [1 ]
Ma, Sheng [1 ]
Pasca, Daniel [2 ]
机构
[1] Stat Huanggang Normal Univ, Dept Math, Hubei 438000, Peoples R China
[2] Informat Univ Oradea Univ, Dept Math, Univ St 1, Oradea 410087, Romania
关键词
Second-order Hamiltonian systems with (q; p)-Laplacian; (PS) condition; generalized saddle point theorem; HAMILTONIAN-SYSTEMS; EXISTENCE;
D O I
10.1515/ms-2023-0010
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, multiple periodic solutions are obtained for second-order Hamiltonian systems with (q, p)-Laplacian when the nonlinearity is partially periodic. New results are deduced by using minimax principle via critical point theory.
引用
收藏
页码:89 / 102
页数:14
相关论文
共 12 条
[1]  
Li C., 2014, ELECTRON J DIFFER EQ, V2014, P1
[2]   A GENERALIZED SADDLE-POINT THEOREM [J].
LIU, JQ .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 82 (02) :372-385
[3]  
Mawhin J., 1989, CRITICAL POINT THEOR
[4]   On periodic solutions of nonautonomous second order Hamiltonian systems with (q, p)-Laplacian [J].
Pasca, Daniel ;
Wang, Zhiyong .
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (106) :1-9
[5]   New existence results on periodic solutions of nonautonomous second order Hamiltonian systems with (q, p)-Laplacian [J].
Pasca, Daniel ;
Wang, Zhiyong .
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2013, 20 (01) :155-166
[6]   New existence results on periodic solutions of nonautonomous second order differential systems with (q, p)-Laplacian [J].
Pasca, Daniel ;
Tang, Chun-Lei .
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2012, 19 (01) :19-27
[7]  
Pasca D, 2010, B BELG MATH SOC-SIM, V17, P841
[8]   Some existence results on periodic solutions of nonautonomous second-order differential systems with (q, p)-Laplacian [J].
Pasca, Daniel ;
Tang, Chun-Lei .
APPLIED MATHEMATICS LETTERS, 2010, 23 (03) :246-251
[9]   A note on periodic solutions of nonautonomous second-order systems [J].
Tang, CL ;
Wu, XP .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (05) :1295-1303
[10]   Periodic solutions of a class of second order non-autonomous Hamiltonian systems [J].
Wang, Zhiyong ;
Zhang, Jihui .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (12) :4480-4487