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

作　　者：吴红萍[1] 马如云[1] 

机构地区：[1]西北师范大学数学系,甘肃兰州730070

出　　处：《应用泛函分析学报》2000年第4期342-348,共7页Acta Analysis Functionalis Applicata

摘　　要：在边值条件 y( 0 ) =y( 1 ) =y′( 0 ) =y′( 1 ) =0下 ,研究方程 y″″( x) =f ( x,y( x) )的正解存在性 。In this paper,we study the existence of the equation 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 solutions by a simply application of Fixed Point Theorem in cone.Which describs the deformations of an elastic beam whose both end-points are fixed.

关 键 词：锥 四阶两点边值问题 弹性梁方程 正解 存在性 

分 类 号：O175.8[理学—数学] O343.2[理学—基础数学]