Periodic and subharmonic solutions for a 2nth-order difference equation involving p-Laplacian

被引：20

作者：

Deng, Xiaoqing ^{[1
]}

Liu, Xia ^{[2
]}

Zhang, Yuanbiao ^{[3
]}

Shi, Haiping ^{[4
]}

机构：

[1] Hunan Univ Commerce, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China

[2] Hunan Agr Univ, Oriental Sci & Technol Coll, Changsha 410128, Hunan, Peoples R China

[3] Jinan Univ, Packaging Engn Inst, Zhuhai 519070, Peoples R China

[4] Guangdong Construct Vocat Technol Inst, Basic Courses Dept, Guangzhou 510450, Guangdong, Peoples R China

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2013年 / 24卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Periodic and subharmonic solutions; 2nth-order; Functional difference equations; Discrete variational theory; p-Laplacian; BOUNDARY-VALUE-PROBLEMS; MULTIPLE POSITIVE SOLUTIONS; HAMILTONIAN-SYSTEMS; VARIATIONAL-METHODS; EXISTENCE;

D O I：

10.1016/j.indag.2013.04.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the critical point theory, some new criteria are obtained for the existence and multiplicity of periodic and subharmonic solutions to a 2nth-order nonlinear difference equation containing both advance and retardation involving p-Laplacian. The proof is based on the Linking Theorem in combination with variational technique. Our results generalize and improve the results in the literature. (C) 2013 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：613 / 625

页数：13

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