| 一种奇异三阶两点边值问题的正解 |
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| 引用本文： | 杜亚涛,封汉颍,冯杏芳.一种奇异三阶两点边值问题的正解[J].吉林林学院学报,2014(1):19-22. |
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| 作者姓名： | 杜亚涛 封汉颍 冯杏芳 |
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| 作者单位： | 军械工程学院基础部,河北石家庄050003 |
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| 基金项目： | 河北省自然科学基金项目（A2012506010）. |
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| 摘 要： | 考察三阶两点边值问题{u＂＇（t）＋f（t,u（t））=0,0〈t〈1,u（0）=u＇（0）=u＂（1）=0}的正解，其中非线性项以f（t,u（t））可以在t=0，t=1及u=0处奇异．利用锥压缩与锥拉伸型的Guo—Krasnosel’skii不动点定理建立了多个正解存在定理．
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| 关 键 词： | 三阶两点边值问题 正解 存在性 多解性 |
Positive Solutions of Singular Third-order Two-point Boundary Value Problems |
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| Authors: | DU Ya-tao FENG Han-ying FENG Xing-fang |
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| Institution: | ( Department of Basic Courses, Ordnance Engineering College, Shijiazhuang 050003, China) |
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| Abstract: | The positive solutions are considered for the third-order two-point boundary value problem {u＂＇（t）＋f（t,u（t））=0,0〈t〈1,u（0）=u＇（0）=u＂（1）=0}where the nonlinear term may be singular at t = 0,t = 1 and u = 0.By using Guo-Krasnosel＇ skii mixed point theorem of cone expansion-compression type, we study the existence and multiplicity of positive solutions. |
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| Keywords: | third-order two-point boundary value problems positive solution existence multiplicity of solutions |
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