Periodic solutions for second order Hamiltonian system with a ρ-Laplacian

被引：4

作者：

Zhang, Xingyong ^{[1
]}

Tang, Xianhua ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2011年 / 18卷 / 02期

关键词：

p-Laplacian systems; Periodic solutions; Critical point; Sobolev's inequality; Writinger's inequality; P-LAPLACIAN;

D O I：

10.36045/bbms/1307452080

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using an improved inequality, we improve an existence theorem of periodic solutions for second order Hamiltonian system with a p-Laplacian. Moreover, an estimate of solutions is also given. Our results improve those in some known literatures.

引用

页码：301 / 309

页数：9

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