| 一类非线性二阶三点边值问题的正解 |
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| 引用本文： | 姚庆六.一类非线性二阶三点边值问题的正解[J].新疆大学学报(理工版),2009,26(2):145-149. |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | 南京财经大学应用数学系,江苏南京210003 |
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| 摘 要： | 考察了二阶三点边值问题u”（t）＋f（t，u（t））=0，0〈t〈1；αu（O）=βu’（0），ku（η）=u（1）的正解存在性与多解性，其中允许f（t，u）在t=0，t=1处奇异．利用锥上的Krasnosel’skii不动点定理获得了几个局部存在定理．
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| 关 键 词： | 多点边值问题 正解 存在性 多解性 |
Positive Solutions to a Class of Nonlinear Second-Order Three-Point Boundary Value Problems |
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| YAO Qing-liu.Positive Solutions to a Class of Nonlinear Second-Order Three-Point Boundary Value Problems[J].Journal of Xinjiang University(Science & Engineering),2009,26(2):145-149. |
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| Authors: | YAO Qing-liu |
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| Institution: | YAO Qing-liu (Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu 210003, China) |
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| Abstract: | The existence and multiplicity of positive solutions are considered for the second-order threepoint boundary value problem u＂（t） ＋ f（t,u（t）） = 0, 0 〈 t 〈 1; αu（0） = βu＇（0）, ku（η） = u（1）, where f（t,u） is allowed to be singular at t = 0, t = 1. Several local existence theorems are obtained by applying the Krasnosel＇skii fixed point theorem on cone. |
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| Keywords: | multipoint boundary value problem positive solution existence multiplicity |
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