Periodic and subharmonic solutions for a class of second-order p-Laplacian Hamiltonian systems

被引：4

作者：

Lian, Hairong ^{[1
]}

Wang, Dongli ^{[1
]}

Bai, Zhanbing ^{[2
]}

Agarwal, Ravi P. ^{[3
]}

机构：

[1] China Univ Geosci, Sch Sci, Beijing 100083, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

[3] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA

来源：

BOUNDARY VALUE PROBLEMS | 2014年

基金：

中国国家自然科学基金;

关键词：

p-Laplacian; periodic solution; subharmonics; dual least action principle; BOUNDARY-VALUE-PROBLEMS; EXISTENCE; EQUATIONS; OSCILLATIONS;

D O I：

10.1186/s13661-014-0260-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the periodic and subharmonic solutions are investigated for a class of second-order non-autonomous ordinary differential equations with a p-Laplacian. With the perturbation technique and the dual least action principle, some existence results are given of solutions to the convex p-Laplacian systems.

引用

页数：15

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