| 二阶奇异微分方程边值问题的正解 |
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| 引用本文： | 王新华. 二阶奇异微分方程边值问题的正解[J]. 数学的实践与认识, 2010, 40(14) |
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| 作者姓名： | 王新华 |
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| 摘 要： | 利用上下解方法研究二阶奇异微分方程u″+f(t,u)=0在边界条件αu(0)-βu′(0)=0,γu(1)+δu′(1)=0下正解的存在性.允许f(t,u)在t=0,1处奇异.
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| 关 键 词： | 奇异边值问题 锥 上下解 正解 |
Positive Solutions for Second-order Singular Boundary Value Problems of Differential Equations |
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| WANG Xin-hua. Positive Solutions for Second-order Singular Boundary Value Problems of Differential Equations[J]. Mathematics in Practice and Theory, 2010, 40(14) |
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| Authors: | WANG Xin-hua |
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| Abstract: | This paper studies the existence of positive solutions for second-order singularordinary differential equation u″+f(t,u)=0 with the common boundary value conditionsαu(0)-βu′(0)=0,γu(1)+δu′(1)=0.It is proved by means of upper and lower solutionmethod. |
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| Keywords: | singular BVPs cone upper and lower solution positive solutions |
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