| 关于非线性奇异三阶两点边值问题的多个正解 |
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| 引用本文： | 郭建敏.关于非线性奇异三阶两点边值问题的多个正解[J].山西大同大学学报（自然科学版）,2008,24(1):12-15. |
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| 作者姓名： | 郭建敏 |
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| 作者单位： | 山西大同大学数学与计算机科学学院,山西大同037009 |
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| 摘 要： | 利用关于锥拉伸锥压缩的Krasnoselskii不动点定理,讨论了非线性奇异三阶两点边值问题{u^m（t）＋λa（t）f（u（t））=0,0〈t〈1 u（1）=u′（1）=u″（0）=0正解的存在性,得到上述边值问题至少存在两个正解的λ的区间,其中λ是一个正常数。
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| 关 键 词： | 正解 非线性边值问题 不动点定理 |
Positive Solutions of Nonlinear Singular Third-order Two-point Boundary Value Problem |
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| GUO Jian-min.Positive Solutions of Nonlinear Singular Third-order Two-point Boundary Value Problem[J].Journal of Shanxi Datong University(Natural Science Edition),2008,24(1):12-15. |
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| Authors: | GUO Jian-min |
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| Institution: | GUO Jian-min (School of Mathematics and Computer Sciences, Shanxi Datong Universty, Datong Shanxi, 037009) |
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| Abstract: | In this paper,we are concerned with the existence of multiple solution to the nonlinear singular third-order twopoint boundary value problem{u^m（t）＋λa（t）f（u（t））=0,0〈t〈1 u（1）=u′（1）=u^″（0）=0
existence of at least two positive solutions of the boundary value problem by using Krasnoselskii＇s fixed point theorem of cone expansion-compression type. |
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| Keywords: | positive solution nonlinear singular boundary value problem fixed point theorem |
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