| 半无穷区间上积分边值问题多个正解的存在性 |
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| 引用本文： | 陈建名,刘锡平,肖羽.半无穷区间上积分边值问题多个正解的存在性[J].上海理工大学学报,2010,32(4). |
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| 作者姓名： | 陈建名 刘锡平 肖羽 |
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| 作者单位： | 上海理工大学,理学院,上海,200093 |
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| 基金项目： | 上海市教育委员会科研创新基金重点资助项目 |
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| 摘 要： | 研究了一类半无穷区间上含有积分边界条件的二阶微分方程Sturm-Liouville边值问题多个正解的存在性,利用Leggett-Williams不动点定理,得到了边值问题至少有三个正解的多解存在性结论.
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| 关 键 词： | 半无穷区间 积分边界 Leggett-Williams不动点定理 Sturm-Liouville边值问题 正解 |
Existence of multiple positive solutions for integral boundary value problems on the half-line |
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| CHEN Jian-ming,LIU Xi-ping,XIAO Yu.Existence of multiple positive solutions for integral boundary value problems on the half-line[J].Journal of University of Shanghai For Science and Technology,2010,32(4). |
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| Authors: | CHEN Jian-ming LIU Xi-ping XIAO Yu |
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| Institution: | CHEN Jian-ming,LIU Xi-ping,XIAO Yu (College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China) |
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| Abstract: | The existence of multiple positive solutions of Sturm-Liouville boundary value problems was studied for a class of second-order differential equations with integral boundary conditions on the half-line.By using the Leggett-Williams fixed point theorem,the existence theorem of at least three positive solutions for boundary value problems was achieved. |
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| Keywords: | half-line integral boundary conditions Leggett-Williams fixed point theorem Sturm-Liouville boundary value problem positive solutions |
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