| 一类含有p-拉普拉斯算子的二阶边值问题的单调迭代正解（英文） |
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| 引用本文： | 叶利娟,林晓洁. 一类含有p-拉普拉斯算子的二阶边值问题的单调迭代正解（英文）[J]. 应用数学与计算数学学报, 2011, 25(2): 165-178 |
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| 作者姓名： | 叶利娟 林晓洁 |
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| 作者单位： | 徐州师范大学数学科学学院,江苏徐州,221116 |
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| 基金项目： | supported by the National Natural Science Foundation of China，the Natural Science Foundation of Jiangsu Province，the NSF of the Education Department of Jiangsu Province，Jiangsu Province postgraduate training project |
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| 摘 要： | 研究了一类含有p-拉普拉斯算子的微分方程积分边值问题.运用迭代技巧,给出了这一类边值问题的单调正解,值得感兴趣的是微分方程中的非线性项含有一阶导数.
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| 关 键 词： | 正解 积分边值问题 p-拉普拉斯算子 迭代方法 |
Successive iteration and positive solutions for second-order integral boundary value problems with p-Laplacian |
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| YE Li-juan,LIN Xiao-jie. Successive iteration and positive solutions for second-order integral boundary value problems with p-Laplacian[J]. Communication on Applied Mathematics and Computation, 2011, 25(2): 165-178 |
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| Authors: | YE Li-juan LIN Xiao-jie |
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| Affiliation: | YE Li-juan,LIN Xiao-jie (School of Mathematical Sciences,Xuzhou Normal University,Xuzhou 221116,Jiangsu Province,China) |
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| Abstract: | Integral boundary value problems with one-dimensional p-Laplacian differential equation are studied.The existence of a monotone positive solutions for the problems is obtained by applying a monotone iterative method.The interesting point is that the nonlinear term is involved with the first-order derivative explicitly. |
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| Keywords: | positive solutions integral boundary value problem p-Laplacian iteration method |
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