一类奇异三阶微分方程三点边值问题正解的存在性  

The Existence of Positive Solutions of the Three-Point Boundary Value Problems of One Class of Singular Three-Order Differential Equations

作　　者：廉玉婷 高云兰[1] 李晓宇[2] 王国君[1] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051 [2]北京邮电大学自动化学院,北京100876

出　　处：《内蒙古工业大学学报（自然科学版）》2015年第2期87-91,共5页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：国家自然科学基金项目(11171295)

摘　　要：本文考虑了一类奇异三阶微分方程三点边值问题正解的存在性,结合单调迭代法和Arzela-Ascoli不动点定理证明了该问题的正解的存在,并给出了正解的迭代序列.This paper takes as its object of study the existence of positive solutions for the three- point boundary value？ problems？ of a class of singular？ three--order differential equations. By com- bining the monotone iterative technique and the Arzela--Ascoli fixed point theorem it proved the exist- ence of positive solutions to the problems and gave the iterative sequence of the positive solutions.

关 键 词：三阶三点边值问题 正解 不动点定理 单调迭代法 

分 类 号：O175[理学—数学]