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一类二阶两点边值问题正解的存在性
引用本文:高小丽,王小军,王瑞娜.一类二阶两点边值问题正解的存在性[J].山西大学学报(自然科学版),2011(Z2):6-8.
作者姓名:高小丽  王小军  王瑞娜
作者单位:山西大学数学科学学院;
摘    要:讨论了一类二阶两点边值问题正解的存在性,利用Leggett-Williams三解定理得到该边值问题至少存在三个正解.

关 键 词:Leggett-Williams三解定理  二阶两点边值问题  

Existence of Positive Solutions for a Class of Second-order two Point Boundary Value Problem
GAO Xiao-li,WANG Xiao-jun,WANG Rui-na.Existence of Positive Solutions for a Class of Second-order two Point Boundary Value Problem[J].Journal of Shanxi University (Natural Science Edition),2011(Z2):6-8.
Authors:GAO Xiao-li  WANG Xiao-jun  WANG Rui-na
Institution:GAO Xiao-li,WANG Xiao-jun,WANG Rui-na(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)
Abstract:The existence of positive solutions for the second-order two point boundary value problem was studied,and by using Leggett-Williams' theorem,we prove that there exist at least three positive solutions.
Keywords:Leggett-Williams' theorem  second-order two point boundary value problem  cone  
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