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半直线上具有p-Laplacian算子的Sturm-Liouville型脉冲边值问题的单调迭代正解 被引量：1

Successive Iteration of Positive Solutions for Some Sturm-Liouville-like Impulsive Boundary-value Problems with p-Laplacian on Half Line
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摘要 利用单调迭代方法得到了半直线上具有p-Laplacian算子的脉冲微分方程边值问题单调迭代正解的存在性,同时也给出了解的相应迭代序列. The existence and successive iteration of positive solutions for some impulsive boundary value problems with p-Laplacian on half line are investigated in this paper and the corresponding iterative schemes for approximating the solutions are also given.
作者 张兴秋 王新华
机构地区 聊城大学数学科学学院
出处 《应用数学学报》 CSCD 北大核心 2010年第5期780-791,共12页 Acta Mathematicae Applicatae Sinica
基金 山东省高等学校科技计划项目(No.J10LA53) 国家自然科学基金(No.10971179) 聊城大学科研启动基金(No.31805)资助项目
关键词 奇异脉冲方程 正解 迭代解 P-LAPLACIAN 半直线 一阶导数 impulsive singular equation positive solution iteration p-Laplacian half line first derivative
分类号 O175.8 [理学—基础数学]
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参考文献11

  • 1Su H, Wei Z L, Xu F Y. The Existence of Countably Many Positive Solutions for a System of Nonlinear Singular Boundary Value Problems with the p-Laplacian Operator. J. Math. Anal. Appl., 2007, 325: 319-332.
  • 2Liu B. Positive Solutions of Singular Three-point Boundary Value Problems for the One-dimensional p-Laplacian. Comput. Math. Appl., 2004, 48:913-925.
  • 3Wang Y Y, Ge W G. Positive Solutions for Multipoint Boundary Value Problems with a One- dimensional p-Laplacian. Nonlinear Anal., 2007, 66:1246-1256.
  • 4Ma D X, Du Z J, Ge W G. Existence and Iteration of Monotoae Positive Solutions for Multipoint Boundary Value Problems with p-Laplacian Operator. Comput. Math. Appl., 2005, 50:729-739.
  • 5Sun B, Ge W G. Existence and Iteration of Positive Solutions for Some p-Laplacian Boundary Value Problems. Nonlinear Anal., 2007, 67:1820-1830.
  • 6Sun B, Ge W G. Successive Iteration and Positive Pseudo-symmetric Solutions for a Three-point Second-order p-Laplacian Boundary Value Problems. Appl. Math. Comput., 2007, 188:1772-1779.
  • 7Agarwal R P, O'Regan D. Infinite Interval Problems for Differential, Difference and Integral Equations. Dordrecht: Kluwer Academic Publisher, 2001.
  • 8Liu L S, Liu Z B, Wu Y H. Infinite Boundary Value Problems for nth-order Nonlinear Impulsive Integro-differential Equations in Baaach Spaces. Nonlinear Anal., 2007, 67:2670-2679.
  • 9Liu Y S. Existence and Unboundedness of Positive Solutions for Singular Boudary Value Problems on Half-line. Appl. Math. Comput., 2003, 144:543-556.
  • 10Liu Y S. Boundary Value Problem for Second order Differential Equations on Unbounded Domain. Acta Anal. Funct. Appl., 2002, 4:211-216.

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应用数学学报
2010年 第5期

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