Existence of periodic solutions of fourth-order nonlinear difference equations

被引：8

作者：

Shi, Haiping ^{[1
]}

Liu, Xia ^{[2
,3
]}

Zhang, Yuanbiao ^{[4
]}

Deng, Xiaoqing ^{[5
]}

机构：

[1] Guangdong Construct Vocat Technol Inst, Dept Modern Business & Management, Guangzhou 510450, Guangdong, Peoples R China

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

[3] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China

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

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

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2014年 / 108卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Existence; Periodic solutions; Fourth-order; Nonlinear difference equations; Discrete variational theory; BOUNDARY-VALUE-PROBLEMS; MULTIPLE POSITIVE SOLUTIONS; DISCRETE P-LAPLACIAN; SUBHARMONIC SOLUTIONS; VARIATIONAL-METHODS; SYSTEMS;

D O I：

10.1007/s13398-013-0143-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By making use of the critical point theory, the existence of periodic solutions for fourth-order nonlinear difference equations is obtained. The proof is based on the Saddle Point Theorem in combination with variational technique. The problem is to solve the existence of periodic solutions of fourth-order nonlinear difference equations. Results obtained complement the existing one.

引用

页码：811 / 825

页数：15

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