| 引用本文： |
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汪灵枝,姚晓洁,秦发金.一类二阶三点边值问题无穷多个正解的存在性[J].广西科学,2007,14(1):30-32. [点击复制]
- WANG Ling-zhi,YAO Xiao-jie,QIN Fa-jin.Existence of Multiple Positive Solutions of a Kind of Second-order Three-point Boundary Value Problem[J].Guangxi Sciences,2007,14(1):30-32. [点击复制]
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| 摘要: |
利用Krasnosel'skii锥拉伸与锥压缩不动点定理,研究一类二阶三点边值问题
⎧μ"(t)+λa(t)f(t,u(t))=0,0 < t < 1,
⎨
⎩u'(0)=0,u(1)+αu'(η)=0的正解存在性问题,得到其无穷多个正解存在性的充分条件,改进和推广了文献[1]的相关结论. |
| 关键词: 微分方程 边值问题 正解 存在性 |
| DOI： |
| 投稿时间：2006-06-28 |
| 基金项目:广西教育厅项目(200508234)资助。 |
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| Existence of Multiple Positive Solutions of a Kind of Second-order Three-point Boundary Value Problem |
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WANG Ling-zhi, YAO Xiao-jie, QIN Fa-jin
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| (Department of Mathematics and Computer Science, Liuzhou Teachers College, Liuzhou, Guangxi, 545004, China) |
| Abstract: |
Using Krasnosl'skii fixed point theorem of cone expansion-compres type to investigate the existence of multiple positive solutions for a kind of second-order three-point boundary value problem
⎧μ"(t)+λa(t)f(t,u(t))=0,0 < t < 1,
⎨
⎩u'(0)=0,u(1)+αu'(η)=0. The result of the reference[1] is improved and extended. |
| Key words: differential systems boundary value problem positive solutions existence |
