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奇异非线性高阶边值问题的可解性 被引量:4

Solvability of singular higher order nonlinear boundary value problems
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摘要 The singular higher order nonlinear boundary value problem is studied in this paper. We prove that the problem has a solution by using Schauder fixed point theorem. The singular higher order nonlinear boundary value problem is studied in this paper. We prove that the problem has a solution by using Schauder fixed point theorem.
出处 《大庆石油学院学报》 CAS 北大核心 2000年第2期75-78,共4页 Journal of Daqing Petroleum Institute
关键词 奇异高阶边值问题 扰动技术 不动点 非线性 singular higher order boundary value problem perturbation technique schauder fixed point theorem
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  • 1Gupta C P. A sharp condition for the solvability of a three-point second order boundary value problem[J]. J Math Anal Appl, 1997,205(4):586~597.
  • 2Gupta C P. Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation [J]. J Math Anal Appl, 1992,168(2):540~551.
  • 3ZHANG Zhong-xin,WANG Jun-yu.On existence and multiplicity of positive solutions to periodic boundary value problems for singular nonlinear second order differential equations[J].J.Math.Anal.Appl.2003(281):99-107.
  • 4GUPTA C P.A sharp condition for the solvability of a three-point second order boundary value problem[J].J Math Anal Appl,1997,205(4):586-597.
  • 5GUPTA C P.Solvability of a three-point nonlinear boundary value problemfor a second order ordinary differential equation[J].JMath Anal Appl,1992,168(2):540-551.
  • 6蒋达清.一个奇异非线性三点边值问题[J].东北师大学报(自然科学版),1998(1):3-6. 被引量:16
  • 7孔令彬,王玉学.三阶周期边值问题的正解存在性[J].哈尔滨理工大学学报,2000,5(6):10-12. 被引量:1
  • 8孔令彬,张长海.奇异超线性二阶边值问题的正解[J].哈尔滨工业大学学报,2003,35(3):288-290. 被引量:1

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