| 二阶测度链上Sturm-Liouville型边值问题的多个正解存在性 |
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| 引用本文： | 杜增吉,葛渭高.二阶测度链上Sturm-Liouville型边值问题的多个正解存在性[J].应用数学学报,2006,29(1):124-130. |
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| 作者姓名： | 杜增吉 葛渭高 |
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| 作者单位： | 北京理工大学数学系,北京,100081 |
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| 摘 要： | 本文讨论一类二阶测度链上Sturm-Liouville型边值问题X~△△ f(t,x(σ(t))=0,t∈t_1,t_2],αx(t_1)—βx~△(t_1)=0,γx(σ(t_2)) δx~△(σ(t_2))=0,其中f_1,t_2](?),(?)是测度链．在适当的条件下,通过运用Leggett-Williams不动点定理,得到了三个正解的存在性．
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| 关 键 词： | 边值问题 正解 测度链 不动点 锥 |
| 收稿时间： | 2003-12-15 |
| 修稿时间： | 2003-12-15 |
Existence of Multiple Positive Solutions for a Second-order Sturm-Liouville-like Boundary Value Problem on a Measure Chain |
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| DU ZENGJI,GE WEIGAO.Existence of Multiple Positive Solutions for a Second-order Sturm-Liouville-like Boundary Value Problem on a Measure Chain[J].Acta Mathematicae Applicatae Sinica,2006,29(1):124-130. |
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| Authors: | DU ZENGJI GE WEIGAO |
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| Institution: | 1,Department of Mathematics, Beijing Institute of Technology, Beijing 100081;2,Department of Mathematics, Beijing Institute of Technology, Beijing 100081 |
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| Abstract: | |
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| Keywords: | boundary value problem positive solutions measure chains fixed point cone |
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