一类二阶三点边值问题的多重对称解  

The Multiple Symmetric Solutions to Second Order Three Point Boundary Value Problems

作　　者：宋姝[1] 

机构地区：[1]山西工程职业技术学院基础部,山西太原030009

出　　处：《太原师范学院学报（自然科学版）》2008年第4期8-11,共4页Journal of Taiyuan Normal University:Natural Science Edition

基　　金：山西省自然科学基金资助(20007011012)

摘　　要：文章讨论了边值问题:{-u"=ω(t)f(t,u(t)),u(0)=u(1),u′(0)-u′(1)=u(1/2).当ω(t),f(t,u)满足适当的条件时,根据推广的Leggett-Williams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 of the second order three-point boundary value problem {-u″=w（t）f（t,u（t））,u（0）=u（1）,u′（0）-u′（1）=u（1/2）,} is discussed. We give theexsistence of triple symmetric positive solutions by applying the generalization of Leggett- Williams three-solutions. The results of the literature are developed and extended.

关 键 词：锥 三解定理 对称正解 

分 类 号：O715.15[理学—晶体学]