Periodic and subharmonic solutions for a 2nth-order p-Laplacian difference equation containing both advances and retardations

被引：6
|
作者：
Mei, Peng [1 ]
Zhou, Zhan [1 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
来源：
OPEN MATHEMATICS | 2018年 / 16卷
基金：
中国国家自然科学基金;
关键词：
Periodic and subharmonic solution; 2nth-order; Nonlinear difference equation; p-Laplacian; Critical point theory; BOUNDARY-VALUE-PROBLEMS; HOMOCLINIC SOLUTIONS; EXISTENCE;
D O I：
10.1515/math-2018-0123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a 2nth-order nonlinear difference equation containing both many advances and retardations with p-Laplacian. Using the critical point theory, we obtain some new explicit criteria for the existence and multiplicity of periodic and subharmonic solutions. Our results generalize and improve some known related ones.
引用
收藏
页码：1435 / 1444
页数：10
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