| 一类具有p-Laplacian算子的二阶m点边值问题迭代正解的存在性 |
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| 引用本文： | 沙勇,张亮,付嵩峰.一类具有p-Laplacian算子的二阶m点边值问题迭代正解的存在性[J].湖南文理学院学报(自然科学版),2008,20(4). |
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| 作者姓名： | 沙勇 张亮 付嵩峰 |
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| 作者单位： | 中南大学,数学科学与计算技术学院,湖南,长沙,410075;中南大学,数学科学与计算技术学院,湖南,长沙,410075;中南大学,数学科学与计算技术学院,湖南,长沙,410075 |
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| 摘 要： | 利用单调迭代方法讨论了一类具有p-Laplace算子的多点边值问题,不仅得到了两个正解,而且建立了迭代序列逼近其解.
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| 关 键 词： | 锥 p-Laplace算子 多点边值问题 迭代 正解 |
Existence and iteration of positive solutions for a multipoint some p-Laplacian boundary value problem |
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| SHA Yong,ZHANG Liang,FU Song-feng.Existence and iteration of positive solutions for a multipoint some p-Laplacian boundary value problem[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2008,20(4). |
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| Authors: | SHA Yong ZHANG Liang FU Song-feng |
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| Institution: | SHA Yong,ZHANG Liang,FU Song-feng(School of Mathematical Science , Computing Technology,Central South University,Changsha,Hunan,410075) |
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| Abstract: | Existence and iteration of positive solutions for a multipoint some p-Laplacian differential equation was studied by applying a monotone iterative method.Not only the existence of two positive solutions for the problem was obtained, but also iterative schemes for approximating the solutions was established. |
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| Keywords: | cone p-Laplacian multipoint boundary value problem iteration positive solutions |
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