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时间尺度上带p-Laplace算子的m点边值问题的正解 被引量：1

Positive Solutions of Nonlinear m-Point Boundary Value Problem with p-Laplace Operator on Time Scales
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摘要 利用不动点指数理论讨论时间尺度上带p-Laplace算子的m点边值问题,得到该问题两个正解的存在性结果,并给出例子来说明条件的合理性。 We consider the existence of multiple positive solutions of nonlinear m-point boundary value problem with p-Laplace operator on time scales. By using the fixed point index theory, we get the existence of twin positive solutions. As an application, we give some examples to demonstrate our results.
作者 范进军 张雪玲 刘衍胜
机构地区 山东师范大学数学科学学院
出处 《济南大学学报（自然科学版）》 CAS 北大核心 2012年第4期415-418,共4页 Journal of University of Jinan(Science and Technology)
基金 国家自然科学基金(11171192)
关键词 时间尺度 边值问题 正解 锥 不动点 time scale boundary value problem positive solution cone fixed point
分类号 O175.8 [理学—基础数学]
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共引文献50

同被引文献17

  • 1Jinjun Fan,Liqing Li.EXISTENCE OF POSITIVE SOLUTIONS TO A SYSTEM OF DYNAMIC EQUATIONS WITH PARAMETERS ON TIME SCALES[J].Annals of Differential Equations,2013,29(3):277-287. 被引量：1
  • 2郭彦平,葛渭高,董士杰.具有变号非线性项的二阶三点边值问题的两个正解[J].应用数学学报,2004,27(3):522-529. 被引量：27
  • 3孙红蕊,李万同.测度链上非线性m-点边值问题的正解[J].数学学报（中文版）,2006,49(2):369-380. 被引量：7
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  • 5Douglas R. Anderson,George Smyrlis.Solvability for a third-order three-point BVP on time scales[J]. Mathematical and Computer Modelling . 2009 (9)
  • 6Gaoshang Li,Xiping Liu,Mei Jia.Positive solutions to a type of nonlinear three-point boundary value problem with sign changing nonlinearities[J]. Computers and Mathematics with Applications . 2008 (3)
  • 7Yunzhou Zhu,Jiang Zhu.The multiple positive solutions for p -Laplacian multipoint BVP with sign changing nonlinearity on time scales[J]. Journal of Mathematical Analysis and Applications . 2008 (2)
  • 8Bo Du.Some new results on the existence of positive solutions for the one-dimensional p -Laplacian boundary value problems on time scales[J]. Nonlinear Analysis . 2007 (1)
  • 9Hong-Rui Sun,Lu-Tian Tang,Ying-Hai Wang.Eigenvalue problem for p -Laplacian three-point boundary value problems on time scales[J]. Journal of Mathematical Analysis and Applications . 2006 (1)
  • 10Shihuang Hong.Triple positive solutions of three-point boundary value problems for p -Laplacian dynamic equations on time scales[J]. Journal of Computational and Applied Mathematics . 2006 (2)

引证文献1

济南大学学报（自然科学版）
2012年 第4期

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