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半直线上奇异微分方程组边值问题多个正解的存在性 被引量：2

Existence of multiple solutions for boundary value problem of a singular differential system on the half-line
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摘要 应用锥拉伸锥压缩不动点定理讨论了半直线上非线性奇异微分系统边值问题多个正解的存在性。 Using the fixed point theorem of cone expansion and compression,the existence of multiple positive solutions for a boundary value problem of a nonlinear singular differential system on the half-line are investigated.
作者 王明高 唐秋云
机构地区 山东大学数学学院 山东万杰医学院口腔系 山东万杰医学院公共教学部数学教研室
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2011年第6期64-66,74,共4页 Journal of Shandong University(Natural Science)
关键词 微分方程组 锥 半直线 differential system cone half-line
分类号 O175.8 [理学—基础数学]
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二级参考文献9

  • 1Bao-qiangYan Yan-shengLiu.Multiple Solutions of the Singular Impulsive Boundary Value Problems on the Half-line[J].Acta Mathematicae Applicatae Sinica,2004,20(3):365-380. 被引量：2
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  • 9刘衍胜.Banach空间中非线性奇异微分方程边值问题的正解[J].数学学报（中文版）,2004,47(1):131-140. 被引量：17

共引文献17

同被引文献19

  • 1Liu Y J, Patricia J Y. Unbounded solutions of BVP for second order ODE with p - Laplation on the half - line [ J ]. Appl Math,2013,58 : 179 - 204.
  • 2Djebali S, Mebarki K. Multiple positive solutions for singular BVPs on the positive half- line [ J ]. Comput Math App1,2008,55: 2940 - 2952.
  • 3Lian H, Ge W. Existence of positive solutions for Sturm - Liouville boundary value problems on the half - line [ J ]. J Math Anal Appl,2006,321 : 781 - 792.
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  • 5Yan B, Liu Y. Unbounded solutions of the singular boundary value problems for second order differential equations on the half - line [ J ]. Appl Math Comput,2004,147:629 - 644.
  • 6Guo Y, Yu C, Wang J. Existence of three positive solutions for m -point boundary value problems on infinite intervals[ J]. Non- linear Anal : TMA,2009,71 : 717 - 722.
  • 7Liu Y S. Existence and unboundedness of positive solutions for singular boundary value problems on half - line [ J ]. Appl Math Comput,2003 ,144 :543 - 556.
  • 8Guo D J. Boundary value problems for impulsive integro - differential equations on unbounded domains in a Banaeh space [ J ]. Appl Math Comput,1999 ,99 :1 -15.
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山东大学学报（理学版）
2011年 第6期

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