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一类四阶两点边值问题正解的存在性

吴红萍 马如云

应用泛函分析学报2000,Vol.2Issue(4):342-348,7.
应用泛函分析学报2000,Vol.2Issue(4):342-348,7.

一类四阶两点边值问题正解的存在性

Positive Solutions of Fourth-order Two-point Boundary Value Problem

吴红萍 1马如云1

作者信息

  • 1. 西北师范大学数学系, 甘肃 兰州, 730070
  • 折叠

摘要

Abstract

In this paper, we study the existence of the equ ation y″″(x)=f(x,y(x)) with y(0)=y(1)=y′(0)=y′(1)= 0. We show the existence of positive solutions and multiple positive solutio ns by a simply application of Fixed Point Theorem in cone. Which describs the de formations of an elastic beam whose both end-points are fixed.

关键词

四阶边值问题/正解/

Key words

fourth-order BVP/positive solution/cone

分类

数理科学

引用本文复制引用

吴红萍,马如云..一类四阶两点边值问题正解的存在性[J].应用泛函分析学报,2000,2(4):342-348,7.

应用泛函分析学报

OACSCD

1009-1327

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