期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

时标上二阶带p-Laplacian算子的脉冲边值问题单调迭代正解的存在性

Existence and Successive Iteration of Positive Solutions for Impulsive Boundary Value Problems with p-Laplacian on Time Scales
原文传递
导出
摘要 论文利用单调迭代的方法证明了时标上二阶带p-Laplacian算子的脉冲边值问题的正解存在性.同时,举例阐述了主要结果. In this paper, we are investigated the existence and successive iteration of pos-itive solutions for impulsive boundary value problems with p-Laplacian on time scales. On the same time, we give the example to show the main result.
作者 杨军 宋娜娜 金燕
机构地区 燕山大学理学院 河北省数学研究中心
出处 《应用数学学报》 CSCD 北大核心 2013年第2期363-375,共13页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(60604004) 河北省自然科学基金数学研究专项(No.07M005)资助项目
关键词 时标 脉冲边值问题 P-LAPLACIAN算子 正解 time scale impulsive boundary value problem p-Laplacian operator positive solution
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献10

  • 1张兴秋.无穷区间上具有p-Laplacian算子的脉冲多点边值问题单调迭代正解的存在性[J].系统科学与数学,2010,30(5):619-632. 被引量：1
  • 2Sang Yanbin, Su Hua. Several Existence Theorems of Nonlinear m-point Boundary Value Problem for p-Laplacian Dynamic Equations on Time Scales. J. Math. Anal. Appl., 2008, 340:1012-1026.
  • 3Bohner M, Peterson A. Dynamic Equations on Time Scales. An Introduction with Application. Boston: Birkhauser, 2001.
  • 4Aykut N Hamal, Fulya Yoruk, Positive Solutions of Nonlinear m-point Boundary Value Problems on Time Scales. J. Comput. Appl. Math., 2009, 231:92-105.
  • 5Avery R I, Henderson J. Two Positive Fixed Points of Nonlinear Operator on Ordered Banach Spaces. J. Comm. Appl. Nonl. Anal., 2001, 8:27-36.
  • 6Ravi P Agarwal, Donal O'Regan. A Multiplicity Result for Second Order Impulsive Differential Equations via the Leggett Williams Fixed Point Theorem. J. Appl. Math. Compu., 2005, 161: 433-439.
  • 7Sun Y P. Existence of Triple Positive Solutions for a Third-order Three-point Boundary Value Problem. J. Comput. Appl. Math., 2008, 221:194-201.
  • 8Li J L, Shen J H. Existence Results for Second Order Impulsive Boundary Value Problems on Time Scales. J. Nonlinear. Anal., 2009, 70:1648-1655.
  • 9Benchohra M, Ntouyas S K, Ouahab A. Existence Results for Second Order Boundary Value Problem of Impulsive Dynamic Equations on Time Scale. J. Math. Anal. Appl., 2004, 296:65-73.
  • 10王培光,王颖.时间尺度上二阶动力方程三点边值问题解的存在性[J].数学学报（中文版）,2007,50(3):701-706. 被引量：8

二级参考文献21

  • 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.
  • 2Xu F Y. Positive solutions for multipoint boundary value problems with one-dimensional p-Laplacian operator. Appl. Math. Comput., 2007, 194: 366-380.
  • 3Feng H Y, Ge W G, Jiang M. Multiple positive solutions for m-point boundary-value problems with a one-dimensional p-Laplaeian. Nonlinear Anal., 2008, 68: 2269-2279.
  • 4Ma D X, Du Z J, Ge W G. Existence and iteration of monotone positive solutions for multipoint boundary value problems with p-Laplacian operator. Comput. Math. Appl., 2005, 50: 729-739.
  • 5Sun B, Zhao J F, Yang P H, Ge W G. Successive iteration and positive solutions for a third-order multipoint generalized right-focal boundary value problem with p-Laplacian. Nonlinear Anal., 2009, 70: 220-230.
  • 6Sun B, Yang A J, Ge W G. Successive iteration and positive solutions for some second-order three-point p-Laplacian boundary value problems. Math. Comput. Model., 2009, 50: 344-350.
  • 7Agarwal R P, O'Regan D. Infinite Interval Problems for Differential, Difference and Integral Equations. Holand: Kluwer Academic Publisher, 2001.
  • 8Corduneanu C. Integral Equations and Stability of Feedback Systems. New York: Academic Press, 1973.
  • 9Liu L S, Liu Z B, Wu Y H. Infinite boundary value problems for nth-order nonlinear impulsive integro-differential equations in Banach spaces. Nonlinear Anal., 2007, 67: 2670-2679.
  • 10Yan B Q, O'Regan D, Agarwal R P. Unbounded solutions for singular boundary value problems on the semi-infinite interval: Upper and lower solutions and multiplicity. J. Comput. Appl. Math., 2006, 197: 365-386.

共引文献7

应用数学学报
2013年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部