| 一类带p-Laplace算子的多点边值问题的正解 |
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| 引用本文： | 肖亿军.一类带p-Laplace算子的多点边值问题的正解[J].佛山科学技术学院学报(自然科学版),2009,27(6):32-36. |
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| 作者姓名： | 肖亿军 |
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| 作者单位： | 吉林大学珠海学院,公共基础课教学与研究中心,广东,珠海,519041 |
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| 摘 要： | 研究带p-Laplace算子的非线性微分方程的多点边值问题解的存在性,应用单调迭代,给出了这类边值问题存在解的充分条件,还给出了向正解靠近的单调集。
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| 关 键 词： | 多点边值问题 单调迭代 可解性 |
Existence of positive solutions for multi-point boundary value problem with p-Laplacian operator |
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| XIAO Yi-jun.Existence of positive solutions for multi-point boundary value problem with p-Laplacian operator[J].Journal of Foshan University(Natural Science Edition),2009,27(6):32-36. |
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| Authors: | XIAO Yi-jun |
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| Institution: | XIAO Yi-jun (Public Foundational Courses Teaching ＆ Researching Center.Zhuhai College Jilin University, Zhuhai 519041, China) |
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| Abstract: | The existence of solutions for multi-point boundary value problem with p-Laplacian operator is investigated by using monotone iterative method.It is proved that boundary value problem has at least one positive solution under suitable conditions.A series of solutions which converge to the terminal solution is suggested in the paper. |
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| Keywords: | point boundary value problems monotone iterative method solvability |
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