| 一类二阶三点奇异边值问题的多个正解 |
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| 引用本文： | 沈文国. 一类二阶三点奇异边值问题的多个正解[J]. 兰州大学学报(自然科学版), 2007, 43(1): 126-129 |
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| 作者姓名： | 沈文国 |
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| 作者单位： | 兰州工业高等专科学校基础学科部,甘肃 兰州,730050 |
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| 摘 要： | 应用锥上不动点定理,给出了二阶三点奇异边值问题{x"(t) a(t)(xλ1(t) xλ2(t))=0,0＜t＜1,x(0)=0,x(1) kx(η)至少有两个C1[0,1]正解的存在性.这里η∈(0,1)是一个常数,λl∈(0,1),λ2∈(1,∞),a∈C((0,1),[O,∞)).
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| 关 键 词： | 奇异非线性三点边值问题 两个正解 锥上不动点定理 |
| 文章编号： | 0455-2059（2007）01-0126-04 |
| 修稿时间： | 2006-06-14 |
Multiple positive solutions to singular boundary value problems of a class of second order three-point differential equations |
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| SHEN Wen-guo. Multiple positive solutions to singular boundary value problems of a class of second order three-point differential equations[J]. Journal of Lanzhou University(Natural Science), 2007, 43(1): 126-129 |
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| Authors: | SHEN Wen-guo |
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| Affiliation: | Department of Basic Course, Lanzhou Polytechnic College, Lanzhou 730050, China |
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| Abstract: | |
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| Keywords: | singular three-point boundary value problem two positive solutions fixed point theorem of cone |
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