Existence and Nonexistence of Solutions for Fourth-Order Nonlinear Difference Boundary Value Problems via Variational Methods

被引：0
|
作者：
Liu, Xia [1 ,2 ,3 ]
Zhou, Tao [4 ]
Shi, Haiping [5 ,6 ]
机构：
[1] Guangdong Univ Foreign Studies, Coll Continuing Educ, Guangzhou 510420, Guangdong, Peoples R China
[2] Guangdong Univ Foreign Studies, Open Coll, Guangzhou 510420, Guangdong, Peoples R China
[3] Hunan Agr Univ, Sci Coll, Changsha 410128, Hunan, Peoples R China
[4] South China Normal Univ, Sch Econ & Management, Guangzhou 510006, Guangdong, Peoples R China
[5] Guangdong Construct Polytech, Modern Business & Management Dept, Guangzhou 510440, Guangdong, Peoples R China
[6] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2018年 / 2018卷
基金：
中国国家自然科学基金;
关键词：
HOMOCLINIC ORBITS; SUBHARMONIC SOLUTIONS; EQUATIONS;
D O I：
10.1155/2018/6703503
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with boundary value problems for a fourth-order nonlinear difference equation. Via variational methods and critical point theory, sufficient conditions are obtained for the existence of at least two nontrivial solutions, the existence of n distinct pairs of nontrivial solutions, and nonexistence of solutions. Some examples are provided to show the effectiveness of the main results.
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页数：9
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