Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation

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成果类型：

期刊论文

作者：

Liu, Xia*;Zhang, Yuanbiao;Shi, Haiping

通讯作者：

Liu, Xia

作者机构：

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

[Liu, Xia] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.

[Zhang, Yuanbiao] Jinan Univ, Packaging Engn Inst, Zhuhai 519070, Peoples R China.

[Shi, Haiping] Guangdong Construct Vocat Technol Inst, Modern Business & Management Dept, Guangzhou 510440, Guangdong, Peoples R China.

通讯机构：

[Liu, Xia] H

Hunan Agr Univ, Oriental Sci & Technol Coll, Changsha 410128, Hunan, Peoples R China.

语种：

英文

关键词：

Periodic and subharmonic solutions;2nth-order;Nonlinear difference equations;Discrete variational theory

期刊：

Hacettepe Journal of Mathematics and Statistics

ISSN：

2651-477X

年：

2015

卷：

期：

页码：

351-362

DOI：

10.15672/HJMS.2015449097

基金类别：

Specialized Research Fund for the Doctoral Program of Higher Eduction of China [20114410110002]; National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11101098]; Natural Science Foundation of Guangdong ProvinceNational Natural Science Foundation of Guangdong Province [S2013010014460]; Science and Research Program of Hunan Provincial Science and Technology Department [2012FJ4109]; Scientific Research Fund of Hunan Provincial Education DepartmentHunan Provincial Education Department [12C0170]

机构署名：

本校为第一且通讯机构

院系归属：

理学院

东方科技学院

摘要：

By using the critical point method, some new criteria are obtained for the existence and multiplicity of periodic and subharmonic solutions to a 2nth-order nonlinear difference equation. The proof is based on the Linking Theorem in combination with variational technique. Our results...

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Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation

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