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
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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 positive 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.
In this paper,we are investigated the existence and successive iteration of positive 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.
引文
[1]张兴秋.无穷区间上具有p-Lapacian算子的脉冲多点边值问题单调迭代正解的存在性.系统科学与数学,2010,30:619-632 (Zhang Xingqiu.Existence and Successive Iteration of Positive Solutions for Some Impulsive Multipoint Boundary Value Problem with p-Laplacian on Infinite Interval.J.Systems Science and Mathematical Sciences,2010,30:619-632)
[2]Sang 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
[3]Bohner M,Peterson A.Dynamic Equations on Time Scales.An Introduction with Application. Boston:Birkhauser,2001
[4]Aykut N Hamal,Fulya Yoruk,Positive Solutions of Nonlinear m-point Boundary Value Problems on Time Scales.J.Comput.Appl.Math.,2009,231:92-105
[5]Avery R I,Henderson J.Two Positive Fixed Points of Nonlinear Operator on Ordered Banach Spaces. J.Comm.Appl.Nonl.Anal,2001,8:27-36
[6]Ravi 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
[7]Sun Y P.Existence of Triple Positive Solutions for a Third-order Three-point Boundary Value Problem. J.Comput.Appl.Math.,2008,221:194-201
[8]Li J L,Shen J H.Existence Results for Second Order Impulsive Boundary Value Problems on Time Scales.J.Nonlinear.Anal,2009,70:1648-1655
[9]Benchohra 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.数学学报,2007,50:701-706 (Wang Peiguang,Wang Ying.Existence of Two Solutions of a Three-Point Boundary Value Problem for Second Order Dynamic Equations on Time Scales.J.Acta Mathematica Sinica,2007,50:701-706)
[2]Sang 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
[3]Bohner M,Peterson A.Dynamic Equations on Time Scales.An Introduction with Application. Boston:Birkhauser,2001
[4]Aykut N Hamal,Fulya Yoruk,Positive Solutions of Nonlinear m-point Boundary Value Problems on Time Scales.J.Comput.Appl.Math.,2009,231:92-105
[5]Avery R I,Henderson J.Two Positive Fixed Points of Nonlinear Operator on Ordered Banach Spaces. J.Comm.Appl.Nonl.Anal,2001,8:27-36
[6]Ravi 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
[7]Sun Y P.Existence of Triple Positive Solutions for a Third-order Three-point Boundary Value Problem. J.Comput.Appl.Math.,2008,221:194-201
[8]Li J L,Shen J H.Existence Results for Second Order Impulsive Boundary Value Problems on Time Scales.J.Nonlinear.Anal,2009,70:1648-1655
[9]Benchohra 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.数学学报,2007,50:701-706 (Wang Peiguang,Wang Ying.Existence of Two Solutions of a Three-Point Boundary Value Problem for Second Order Dynamic Equations on Time Scales.J.Acta Mathematica Sinica,2007,50:701-706)