| 二阶三点半正边值问题的解和正解的存在性 |
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| 引用本文： | 孙艳梅.二阶三点半正边值问题的解和正解的存在性[J].潍坊学院学报,2007,7(6):117-120. |
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| 作者姓名： | 孙艳梅 |
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| 作者单位： | 潍坊学院,山东,潍坊,261061 |
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| 摘 要： | 本文通过构造一个辅助函数来考察非线性二阶三点边值问题。,其中允许f有一个负的下界,并利用锥拉伸与锥压缩的Krasnosel'skii不动点定理得到了其解和正解的存在条件,本文主要结果推广和包含了一些已知结果。
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| 关 键 词： | 二阶三点边值问题 半正 锥 |
| 文章编号： | 1671-4288（2007）06-0117-04 |
| 收稿时间： | 2007-04-22 |
| 修稿时间： | 2007年4月22日 |
Solutions and Positive Solutions of Semipositone Second-order Three-point Boundary Value Problems |
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| SUN Yan-mei.Solutions and Positive Solutions of Semipositone Second-order Three-point Boundary Value Problems[J].Journal of Weifang University,2007,7(6):117-120. |
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| Authors: | SUN Yan-mei |
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| Institution: | Weifang University, Weifang 261061, China |
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| Abstract: | This paper studies the exitence of solutions and positive solutions for semipositone nonlinearity boundary value problem of a second-order three-point differential equations by constructing a additional fruction and Krasnosel'skii fixed theorem of cone expansion compression type. |
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| Keywords: | second-order three-point boundary value problems semipositone cone |
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