一类二阶微分方程三点边值问题对称解的存在性  

Symmetric Positive Solutions for Three Point Boundary Value Problems of Second Order Differential Equations

作　　者：宋姝[1,2] 张玲玲[2] 

机构地区：[1]山西工程职业技术学院基础部,太原030009 [2]太原理工大学数学系,太原030024

出　　处：《太原科技大学学报》2008年第6期486-488,共3页Journal of Taiyuan University of Science and Technology

基　　金：山西省自然科学基金(2007011012)

摘　　要：讨论了边值问题-un=ω(t)f(t,u(t)),u(1)u′(0)-u′(1)=u(12).当ω(t),f(t,u)满足适当的条件时,根据Leggett-William s三解定理,得到了这类边值问题三解存在的充分条件,改进了相关文献的结论。The existence of triple positive solutions for the second order three-point boundary value problem {-u^n=ω（t）f（t,u（t）） u（1）u＇（0）-u＇（1）=u（1/2）, is discussed. We give the exsistence of triple symmetric positive solutions by applying the Leggett-Williams three-solutions. The results of the literatures are developed and extended.

关 键 词：Leggett—Williams三解定理 对称正解 三点边值问题 

分 类 号：O715.15[理学—晶体学]