| 非线性三阶三点边值问题正解的存在性 |
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| 引用本文： | 孙建平,张小丽.非线性三阶三点边值问题正解的存在性[J].西北师范大学学报,2012(3):1-4,31. |
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| 作者姓名： | 孙建平 张小丽 |
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| 作者单位： | 兰州理工大学理学院 |
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| 基金项目： | 国家自然科学基金资助项目(10801068) |
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| 摘 要： | 讨论非线性三阶三点边值问题u'(t)+a(t)f(u(t))=0,t∈0,1],u(0)=u′(0)=0,u(1)=αu′(η).在给出相应的Green函数并讨论其性质的基础上,运用Guo-Krasnoselskii不动点定理获得了上述三阶三点边值问题正解的存在性.
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| 关 键 词： | 三阶三点边值问题 Green函数 正解 存在性 不动点 |
Existence of positive solution for a nonlinear third-order three-point boundary value problem |
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| SUN Jian-ping,ZHANG Xiao-li.Existence of positive solution for a nonlinear third-order three-point boundary value problem[J].Journal of Northwest Normal University Natural Science (Bimonthly),2012(3):1-4,31. |
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| Authors: | SUN Jian-ping ZHANG Xiao-li |
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| Institution: | (School of Science,Lanzhou University of Technology,Lanzhou 730050,Gansu,China) |
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| Abstract: | This paper is concerned with the following nonlinear third-order three-point boundary value problem u’’(t)+a(t)f(u(t))=0,t∈,u(0)=u′(0)=0,u(1)=αu′(η).The corresponding Green’s function is given and its properties are discussed.And then,the existence of positive solution for the above boundary value problem is obtained by using the Guo-Krasnoselskii fixed point theorem. |
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| Keywords: | third-order three-point boundary value problem Green’s function positive solution existence fixed point |
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