2n阶微分方程的多点边值问题正解的存在性  

The existence of positive solutions of 2n-order differential equation with multiple points boundary value problem

作　　者：陈永鹏[1] 靳宝霞[1] 

机构地区：[1]广西工学院鹿山学院,广西柳州545616

出　　处：《广西工学院学报》2010年第2期10-14,共5页Journal of Guangxi University of Technology

摘　　要：利用锥拉伸与压缩不动点定理,研究了2n阶微分方程的多点边值问题正解的存在性,推广了以前的四阶两点边值问题.By using the fixed point theorem of cone expansion and compression,the existence of positive solution for 2n-order differential equation with multiple points boundary value problem is obtained.We make a breakthrough in the study of the fouth-order diffetential equation with two points boundary value problem.

关 键 词：高阶微分方程 多点边值 正解 锥 

分 类 号：O175[理学—数学]