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| 双参数奇异多点边值问题正解的存在性 | |
| 引用本文： | 张丽娟,闫丽.双参数奇异多点边值问题正解的存在性[J].吉林大学学报(理学版),2011,49(4):664-668. |
| 作者姓名： | 张丽娟 闫丽 |
| 作者单位： | 1. 白城师范学院 数学系, 吉林 白城 137000； 2. 吉林农业大学 信息技术学院, 长春 130118 |
| 摘 要： | 利用非线性Leray Schauder抉择定理和锥不动点定理研究一类具有双参数奇异多点边值问题, 在一定的条件下得到了双参数奇异多点边 值问题正解的存在性. |
| 关 键 词： | 边值问题 正解 锥不动点定理 |
| 收稿时间： | 2010-12-06 |
Existence of Positive Solutions for Singular Multi-point Boundary Value Problems with Two Parameters |
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| ZHANG Li-juan,YAN Li.Existence of Positive Solutions for Singular Multi-point Boundary Value Problems with Two Parameters[J].Journal of Jilin University: Sci Ed,2011,49(4):664-668. | |
| Authors: | ZHANG Li-juan YAN Li |
| Institution: | 1. Department of Mathematics, Baicheng Normal College, Baicheng 137000, Jilin Province, China;2. College of Information and Technology, Jilin Agricultural University, Changchun 130118, China |
| Abstract: | We studied singular multi\|point boundary value problems with two parameters. The existence of the solution was obtained with the help of a nonlinear alternative of Leray Schauder and the Krasnoselskii fixed point theorem in cones. It was proved that such a problem has positive solutions under our reasonable conditions. |
| Keywords: | boundary value problems positive solution fixed point theorem in cones |
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