| 一类带p-Laplacian算子的三阶三点边值问题的正解 |
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| 引用本文： | 孙琳,顾长超. 一类带p-Laplacian算子的三阶三点边值问题的正解[J]. 合肥学院学报(自然科学版), 2012, 22(3): 6-9 |
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| 作者姓名： | 孙琳 顾长超 |
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| 作者单位： | 安徽大学数学科学学院,合肥,230601 |
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| 摘 要： | 考察了一类带有p-Laplacian算子的三阶三点边值问题的正解，利用Avery—Peteron不动点定理，得到了边值问题正解的存在性的充分条件，从而推广了边值问题解的相关理论．
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| 关 键 词： | p-Laplacian算子 不动点定理 三阶边值问题 正解 |
Positive Solutions of Third-order Three-point Boundary Value Problem with a p-Laplacian Operator |
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| SUN Lin,GU Chang-chao. Positive Solutions of Third-order Three-point Boundary Value Problem with a p-Laplacian Operator[J]. Journal of Hefei University(Natural Sciences Edition), 2012, 22(3): 6-9 |
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| Authors: | SUN Lin GU Chang-chao |
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| Affiliation: | ( School of Mathematical Sciences, Anhui University, Hefei 230601, China) |
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| Abstract: | The positive solution is considered for a class of third-order three-point boundary value problem with p-Laplacian operator. By means of Avery-Peteron fixed point theorem, a sufficient condition for the existence of positive solution is obtained. |
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| Keywords: | p-Laplaeian operator fixed point theorem third-order boundary value problem positive solution |
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