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Periodic and subharmonic solutions for fourth-order nonlinear difference equations

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成果类型:
期刊论文
作者:
Liu, Xia;Zhang, Yuanbiao;Shi, Haiping*;Deng, Xiaoqing
通讯作者:
Shi, Haiping
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 510450, Guangdong, Peoples R China.
[Deng, Xiaoqing] Hunan Univ Commerce, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China.
通讯机构:
[Shi, Haiping] G
Guangdong Construct Vocat Technol Inst, Modern Business & Management Dept, Guangzhou 510450, Guangdong, Peoples R China.
语种:
英文
关键词:
Periodic and subharmonic solutions;Fourth-order;Nonlinear difference equations;Discrete variational theory
期刊:
Applied Mathematics and Computation
ISSN:
0096-3003
年:
2014
卷:
236
页码:
613-620
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]; Scientific Research Fund of Hunan Provincial Education DepartmentHunan Provincial Education Department [13C487]
机构署名:
本校为第一机构
院系归属:
理学院
东方科技学院
摘要:
By using the critical point theory, some new criteria are obtained for the existence and multiplicity of periodic and subharmonic solutions to fourth-order nonlinear difference equations. The main approach used in our paper is a variational technique and the Linking Theorem. Our results generalize and improve the existing ones. ©...

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