| 一维奇异p-Laplace方程的上下解方法[英文] |
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| 引用本文： | 吕海深,白占兵.一维奇异p-Laplace方程的上下解方法[英文][J].应用数学,2002,15(3):58-64. |
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| 作者姓名： | 吕海深 白占兵 |
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| 作者单位： | 1. 中国科学院数学与系统科学研究院应用数学研究所,北京,100080
2. 华东石油大学应用数学系,山东,东营,257062 |
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| 摘 要： | 本文讨论了一维奇异 p Laplace方程( φp( y′) )′+ q(t) f(t,y) =0 ,0
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| 关 键 词： | 正解 边值问题 上下解 |
Upper and Lower Solution Method for the One-dimensional Singular p-Laplacian |
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| Abstract.Upper and Lower Solution Method for the One-dimensional Singular p-Laplacian[J].Mathematica Applicata,2002,15(3):58-64. |
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| Authors: | Abstract |
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| Abstract: | The singular boundary value problem y(0) = y(1) = 0is studied in this paper with p (s) = | s | p2 s, p ＞ 1. The singularity may appear at y = 0, t = 0 and t = 1, and the function q(t)f(t,y) may change sign. An upper and lower solution approach is pres ented. |
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| Keywords: | Positive solution Boundary value problem Upper and lower solution |
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