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2n阶常微分方程边界问题解的存在性
引用本文:靳宝霞,陈永鹏.2n阶常微分方程边界问题解的存在性[J].广西工学院学报,2010,21(2):15-18.
作者姓名:靳宝霞  陈永鹏
作者单位:广西工学院鹿山学院,广西,柳州,545616
摘    要:本文运用上下解的方法,对方程中某些项的条件放宽的情况下,给出了一类2n阶常微分方程边界问题解的存在性定理.

关 键 词:高阶微分方程:上、下解  弱单调

The existence of solutions of 2n-order ordinary differential equation with boundary value problem
JIN Bao-xia,CHEN Yong-peng.The existence of solutions of 2n-order ordinary differential equation with boundary value problem[J].Journal of Guangxi University of Technology,2010,21(2):15-18.
Authors:JIN Bao-xia  CHEN Yong-peng
Affiliation:(Lushan College,Guangxi University of Technology,Liuzhou 545616,China)
Abstract:In the conditions of the relaxation of some factors,by applying the methods of upper solution and lower solution,we consider the existence of the solutions for 2n-order ordinary differential equation with boundary value problem.
Keywords:higher order differential equation  upper solution  lower solution  weak monotonous conditions
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