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

Advances in Difference Equations

Zhan Zhou¹  Qian Wang² 

[1] Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, P.R. China;School of Mathematics and Information Science, Guangzhou University, Guangzhou, P.R. China

关键词: boundary value problem;    difference equation;    linking theorem;    2n th-order;   

DOI  :  10.1186/1687-1847-2013-322

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider the boundary value problem for a 2n th-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.

【 授权许可】

CC BY