一类高阶非线性差分方程的边值问题  

Boundary value problems for a class of higher order nonlinear difference equations

作　　者：周展[1] 

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2012年第3期1-4,共4页Journal of Guangzhou University:Natural Science Edition

基　　金：国家自然科学基金项目(11171078);教育部高等学校博士学科点专项科研基金项目(20114410110002)资助

摘　　要：考虑一类2n阶非线性差分方程边值问题.首先将该边值问题的解转化为一个非线性泛函的临界点,然后利用山路引理获得非线性泛函临界点的存在性,从而获得原边值问题解的存在性.In this paper, we consider the boundary value problems for a class of 2n-order nonlinear difference equations. We first transfer the solutions of the boundary value problem to the critical points of a functional. Then, by using Mountain Pass Lemma, the existence of the critical points of the functional is obtained, and the existence of solutions for the original boundary value problem is also obtained.

关 键 词：边值问题 非线性差分方程 山路引理 

分 类 号：O175[理学—数学]