| 次线性条件下奇异二阶常微分方程三点边值问题正解的存在性 |
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| 引用本文： | 沈文国,宋兰安.次线性条件下奇异二阶常微分方程三点边值问题正解的存在性[J].东北师大学报(自然科学版),2010,42(1). |
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| 作者姓名： | 沈文国 宋兰安 |
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| 作者单位： | 兰州工业高等专科学校基础学科部,甘肃,兰州,730050;兰州大学数学与统计学院,甘肃,兰州,730000;兰州工业高等专科学校图书馆,甘肃,兰州,730050 |
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| 基金项目： | 甘肃省自然科学基金资助项目 |
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| 摘 要： | 应用上下解方法和不动点定理,给出奇异二阶常微分方程三点边值问题{x″(t)+f(t,x(t))=0,t∈(0,1);x(0)=0,x(1)=kx(η)存在C0,1]正解的充分条件.这里η∈(0,1)是一个常数,f∈C((0,1)×0,∞),0,∞)).
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| 关 键 词： | 奇异非线性三点边值问题 上下解 极大值原理 不动点定理 |
Positive solutions to singular sublinear three-point boundary value problems of second order for ordinary differential equations |
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| SHEN Wen-guo,SONG Lan-an.Positive solutions to singular sublinear three-point boundary value problems of second order for ordinary differential equations[J].Journal of Northeast Normal University (Natural Science Edition),2010,42(1). |
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| Authors: | SHEN Wen-guo SONG Lan-an |
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| Abstract: | By constructing lower and upper solutions and with the maximal
theorem,a sufficient condition for the existence of C［0,1］positive solutions is given to singular boundary value problems of a class of second order three-point sublinear differential equation ｛x″(t)+(t,x(t))=0,t∈(0,1);x(0)=0,x(1)=kx(η)｝. Where ∈(0,1)is a constant,∈C((0,1)×［0,∞),［0,∞)). |
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| Keywords: | singular three-point boundary value problem maximum principle lower and upper solutions fixed point theorem |
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