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On the Existence of Positive Solution for n OrderSingular Boundary Value Problems 被引量:1

On the Existence of Positive Solution for n Order Singular Boundary Value Problems
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摘要 In this paper,we consider the high order singular boundary value problems: u (n) (t)+a(t)f(u(t))=0, 0<t<1, u (k) (0)=u(1)=0,0kn-2. Where, a(t)∈c(0,1) and a(t)>0,t∈(0,1). a(t) may be singular at t=0,t=1. f(u)∈c[0,+∞) and f(u)0. n is positive integer and n2. When f(u) satisfies the superlinear and sublinear conditions,we give the sufficient conditions to the existence of the positive solution.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第3期68-73, ,共6页 数学季刊(英文版)
基金 .NULL.
关键词 singular BVP SUPERLINEAR SUBLINEAR positive solution CONE 奇异边值问题 正解 存在性
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参考文献2

  • 1Wang H,J Differ Equ,1994年,109卷,1页
  • 2Erbe L,Proc Am Math Soc,1994年,120卷,743页

同被引文献3

  • 1Guo D.,Sun J.Calculations and Application of Topologic Degree[J].Journal of Mathematical Research and Exposition,1998,8(3):469-480.
  • 2Erbe L.H & Wang H. On the Existence of Positive Solution of Ordinary Differential Equations[J].Proc.Am.Math.Soc.,120(1994)743-748.
  • 3Zhao zengqin.A Necessary and Sufficient Condition for Existence of Positive Solution to Singular Sublinear Boundary Value Problems[J].Act Mathematica Sinica,1998,41(5):1025-1034.

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