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无穷区间上具有p-Laplacian算子边值问题的正解
引用本文:刘依,陈海波.无穷区间上具有p-Laplacian算子边值问题的正解[J].数学理论与应用,2011(4):1-6.
作者姓名:刘依  陈海波
作者单位:中南大学数学科学与计算技术学院;
摘    要:研究了一类在无穷区间上具有p-Laplacian算子的边值问题的迭代正解.利用单调迭代方法得到问题的迭代正解存在性的充分条件,同时得到了解的相应迭代序列,最后给出例子证明所得结论.

关 键 词:正解  存在性  边值问题

Positive Solutions for Boundary Value Problems with p-Laplacian Operator on Infinite Intervals
Liu Yi Chen Haibo.Positive Solutions for Boundary Value Problems with p-Laplacian Operator on Infinite Intervals[J].Mathematical Theory and Applications,2011(4):1-6.
Authors:Liu Yi Chen Haibo
Institution:Liu Yi Chen Haibo(Department of Mathematics,Central South University,Changsha,Hunan 410083,PR China)
Abstract:We investigate the existence and successive iteration of positive solutions for a class of boundary value problems with p-Laplacian on infinite intervals,we get its sufficient condition,and the corresponding iterative schemes for approximating the solutions are also given.Finally we take an example to proof the result we obtain.
Keywords:Positive solution Existence Boundary value problems  
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