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一类二阶m点边值问题的正解存在性
引用本文:祝贺,衣凤岐.一类二阶m点边值问题的正解存在性[J].辽宁师范大学学报(自然科学版),2004,27(2):149-151.
作者姓名:祝贺  衣凤岐
作者单位:沈阳化工学院,基础部,辽宁,沈阳,110021
摘    要:泛函分析的某些方法对常微分方程定性问题(如多点边值问题)的研究起着非常重要的作用。Runyun Ma和Nelson Castaned。讨论了多点边值问题的正解存在性.利用锥上不动点定理研究了一类二阶m点边值问题的正解存在性,推广了Runyun Ma和Nelson Castaneda的结果.

关 键 词:二阶多点边值  正解  存在性  常微分方程  泛函分析  锥上不动点定理
文章编号:1000-1735(2004)02-0149-03
修稿时间:2004年3月20日

The Existence of Positive Solutions of a Type of Second Order m-Point Boundary Value Problem
ZHU He,YI Feng-qi.The Existence of Positive Solutions of a Type of Second Order m-Point Boundary Value Problem[J].Journal of Liaoning Normal University(Natural Science Edition),2004,27(2):149-151.
Authors:ZHU He  YI Feng-qi
Abstract:Some functional methods are widely used to solve certain problems related to some kind of ordinary differential equations.Runyun Ma and Nelson Castaneda discussed the positive solution of ordinary differential equations.In this paper,we discuss the existence of solutions of such differential equations by using the method of fixed point theorem in cone,which is the continuation of the work of Runyun Ma and Nelson Castaneda.
Keywords:ordinary differential equations  fixed point theorem in cone  multi-point boundary value problem
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