Existence of periodic solutions for a class of (F1, F2)-Laplacian discrete Hamiltonian systems

被引：0
作者：
Deng, Hai-yun [1 ,2 ]
Zhou, Jue-liang [1 ,2 ]
He, Yu-bo [1 ,2 ]
机构：
[1] Huaihua Univ, Sch Math & Computat Sci, Huaihua 418000, Hunan, Peoples R China
[2] Key Lab Intelligent Control Technol Wuling Mt Ecol, Huaihua 418000, Hunan, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 05期
关键词：
(Phi(1); Phi(2))-Laplacian; discrete systems; periodic solutions; the least action principle; SUBHARMONIC SOLUTIONS; 2ND-ORDER; LAPLACIAN;
D O I：
10.3934/math.2023537
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the existence of periodic solutions for a class of nonlinear difference systems involving classical (Phi(1), Phi(2))-Laplacian. By using the least action principle, we obtain that the system with classical (Phi(1),Phi(2))-Laplacian has at least one periodic solution when potential function is (p, q)-sublinear growth condition, subconvex condition. The results obtained generalize and extend some known works.
引用
收藏
页码：10579 / 10595
页数：17
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