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四阶非线性奇异边值问题正解的存在性 被引量:1

On the Existence of Positive Solutions of Singular Fourth - order Boundary Value Problem
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摘要 本文研究奇异的四阶边值问题正解的存在性,借助于锥上的一个不动点定理,得到问题正解的存在性结果。 In this paper we consider the existence of positive solution for the singular fourth order boundary value problem.Making use of a fixed point theorem in a cone we obtain a result of existence of positive solution.
机构地区 韶关大学数学系
出处 《韶关大学学报》 1999年第4期19-22,共4页
关键词 边值问题 正解 不动点定理 Boundary value problem, Positive solution, Cone, Fixed point.
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同被引文献8

  • 1马如云.一类四阶周期边值问题的可解性[J].数学物理学报(A辑),1995,15(3):315-318. 被引量:5
  • 2[1]Usmari R A. A uniqueness theorem for a class of boundary value problem[J].Proc Amer Math Soc, 1997,77:327-335.
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  • 4[3]Gupta C P. Existence of a fourth-order boundary value problem with periodic boundary conditionⅡ[J].Internat J Math Sci,1991,14(1):127-138.
  • 5[7]Gupta C P.Existence and uniqueness theorems for the bending of an elastic beam equation[J].Appl Anal,1998,26:289-304.
  • 6[8]Gupta C P.Ecistence and uniqueness results for the bending of an elastic beam equation at resonance[J].J Math Appl Anal,1998,135:208-225.
  • 7[10]Pino M A,Manasevich R F. Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition[J].Proc Amer Math Soc,1991,112(1):81-86.
  • 8白定勇,黄优良.一类两参数四阶边值问题的可解性[J].韶关学院学报,2001,22(12):22-25. 被引量:1

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