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奇异Semi-Positone边值问题正解存在性 被引量:1

Existence of Positive Solutions of Singular Semi-Positone Boundary Value Problems
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摘要 考虑奇异Semi-Positone边值问题y″=f(t,y,y′),t∈(0,1),y(0)=a>0, y(1)=0,并应用Schauder不动点定理,在适当的条件下,建立了正解存在性定理. Considering the singular Semi-Positone boundary value problems: y″= f(t,y,y′), t∈(0,1), y(0)=a >0, y(1)=0, by application of Schauder fixed point theorem, under appropriate conditions, the author establishes the theorems for existence of positive solutions.
作者 柴国庆
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2004年第6期1167-1174,共8页 Acta Mathematica Sinica:Chinese Series
基金 湖北省教育厅自然科学重大项目基金(2001z06003)
关键词 Semi-Positone边值问题 正解 存在性 Semi-Positone boundary value problem Positive solution Existence
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同被引文献17

  • 1刘衍胜.奇异半正边值问题正解的存在性[J].数学物理学报(A辑),2005,25(3):307-314. 被引量:4
  • 2赵增勤.一类非线性奇异微分方程正解的存在性定理[J].数学物理学报(A辑),2005,25(3):393-403. 被引量:15
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  • 10LI Fu-yi,LIANG Zhan-ping,ZHANG Qi.Existence of Solutions to a Class of Nonlinear Second Order Two-point Boundary Value Problems[J].J Math Anal Appl,2005,312:357-373.

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