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| 一维奇异p-Laplacian三点边值问题正解的存在性一维奇异p-Laplacian三点边值问题正解的存在性 | |
| 引用本文： | 白杰,祖力. 一维奇异p-Laplacian三点边值问题正解的存在性一维奇异p-Laplacian三点边值问题正解的存在性[J]. 吉林大学学报(理学版), 2012, 50(4): 621-627 |
| 作者姓名： | 白杰 祖力 |
| 作者单位： | 1. 东北师范大学人文学院 信息技术学院, 长春 130117,2. 长春大学 理学院, 长春 130022;3. 东北师范大学 数学与统计学院, 长春 130024 |
| 摘 要： | 利用非线性Leray-Schauder抉择定理和锥不动点定理, 在假设条件下证明一维非线性奇异p-Laplacian三点边值问题解的存在性. 结果表明, 在区间(0,1］上至少存在一个正解. |
| 关 键 词： | Leray-Schauder抉择定理 锥不动点定理 奇异边值问题 正解的存在性 |
| 收稿时间： | 2011-09-21 |
Existence of Positive Solutions for One-Dimensional Singular p-Laplacian Three-Point Boundary Value Problems |
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| BAI Jie , ZU Li. Existence of Positive Solutions for One-Dimensional Singular p-Laplacian Three-Point Boundary Value Problems[J]. Journal of Jilin University: Sci Ed, 2012, 50(4): 621-627 | |
| Authors: | BAI Jie ZU Li |
| Affiliation: | 1. School of Information Technology, College of Humanities and Sciences of Northeast Normal University, Changchun 130117, China|2. School of Science, Changchun University, Changchun 130022, China; 3. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China |
| Abstract: | By means of nonlinear Leray-Schauder alternative theorem and fixed point theorem in cones,the authors proved the existence of the solutions for one-dimensional singular p-Laplacian three-point boundary value problems under assumptive conditions.There is at least one positive value in the interval from zero to one. |
| Keywords: | Leray-Schauder alternative theorem fixed point theorem in cones singular boundary value problem existence of positive solution |
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