Variational approach for a p-Laplacian boundary value problem on time scales

被引：6

作者：

Su, You-Hui ^{[1
,2
]}

Feng, Zhaosheng ^{[2
]}

机构：

[1] Xuzhou Inst Technol, Dept Math, Xuzhou, Jiangsu, Peoples R China

[2] Univ Texas Rio Grande Valley, Dept Math, Edinburg, TX 78539 USA

来源：

APPLICABLE ANALYSIS | 2018年 / 97卷 / 13期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Time scales; variational structure; p-Laplacian; boundary value problem; periodic solution; critical point theorem; 2ND-ORDER HAMILTONIAN-SYSTEMS; POSITIVE SOLUTIONS; MULTIPLE SOLUTIONS; EXISTENCE; SPACES;

D O I：

10.1080/00036811.2017.1359566

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a second-order p-Laplacian dynamic equation on a periodic time scale subject to certain boundary value conditions. The variational structure of the above-mentioned boundary value problem is presented. Some new results on the existence of at least one or three distinct periodic solutions are established by means of the saddle point theorem, the least action principle as well as the three critical point theorem.

引用

页码：2269 / 2287

页数：19

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