Solutions of the boundary value problem for a 2nth-order nonlinear difference equation containing both advance and retardation

被引:2
|
作者
Wang, Qian [1 ,2 ]
Zhou, Zhan [1 ,2 ]
机构
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
[2] Guangzhou Univ, Key Lab Math & Interdisciplinary Sci Guangdong Hi, Guangzhou 510006, Guangdong, Peoples R China
关键词
boundary value problem; difference equation; linking theorem; 2nth-order; MULTIPLE SOLUTIONS; EXISTENCE;
D O I
10.1186/1687-1847-2013-322
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the boundary value problem for a 2nth-order nonlinear difference equation containing both advance and retardation. By using the critical point theory, some sufficient conditions of the existence of solutions of the boundary value problem are obtained. The proof is based on the linking theorem. An example is given to illustrate our results.
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页数:9
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