| 系数变号时经典Emden方程的两点边值问题的正解 |
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| 引用本文： | 姚庆六.系数变号时经典Emden方程的两点边值问题的正解[J].应用泛函分析学报,2001,3(2):107-111. |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | 西北师范大学数学系,兰州,730070 |
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| 摘 要： | 建立了边值问题w″ k(t)w^α=0,w(0)=w(1)=0的一个正解存在定理,其中允许k(t)的0,1]上改变符号。
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| 关 键 词： | 经典Emden方程 两点边值问题 系数变号 锥 不动点定理 正解 存在定理 |
Positive Solution of Two-Point Boundary Value Problem for Classical Emden Equation with Coefficient that Changes Sign |
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| YAO Qing-liu.Positive Solution of Two-Point Boundary Value Problem for Classical Emden Equation with Coefficient that Changes Sign[J].Acta Analysis Functionalis Applicata,2001,3(2):107-111. |
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| Authors: | YAO Qing-liu |
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| Institution: | YAO Qing-liu Department of Mathematics,Northwest Normal University,Lanzhou 730070,China |
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| Abstract: | An existence theorem of positive solution for BVP w" k(t) w' = 0, w(0) = w (1) = 0 is established, here k(t) is allowed to changes sign on 0, 1]. |
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| Keywords: | classical Emden equation two-point boundary value problem coefficient that changes sign fixed point theorem on cone |
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