Periodic and subharmonic solutions for 2nth-order p-Laplacian difference equations

被引：1
|
作者：
Liu, X. [1 ,2 ]
Zhang, Y. [3 ]
Shi, H. [4 ]
机构：
[1] Hunan Agr Univ, Oriental Sci & Technol Coll, Changsha, Hunan, Peoples R China
[2] Hunan Agr Univ, Coll Sci, Changsha, Hunan, Peoples R China
[3] Jinan Univ, Packaging Engn Inst, Zhuhai, Peoples R China
[4] Guangdong Construct Vocat Technol Inst, Guangzhou, Guangdong, Peoples R China
来源：
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2014年 / 49卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Periodic and subharmonic solutions; 2nth-order nonlinear difference equations; discrete variational theory; p-Laplacian; EXISTENCE;
D O I：
10.3103/S1068362314050033
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 for the existence and multiplicity of periodic and subharmonic solutions for 2nth-order p-Laplacian difference equations are obtained. The proof is based on the Linking Theorem in combination with variational technique. Our results generalize and improve the known in the literature results.
引用
收藏
页码：223 / 231
页数：9
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