| 一类三阶p-Laplacian边值问题的正解 |
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| 引用本文： | 张杰明,杨晨.一类三阶p-Laplacian边值问题的正解[J].太原重型机械学院学报,2010(5):424-427. |
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| 作者姓名： | 张杰明 杨晨 |
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| 作者单位： | 山西大学商务学院数学系,太原030031 |
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| 基金项目： | 基金项目：山西大学商务学院基金项目（2008053） |
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| 摘 要： | 考察了一类带有P-Laplacian算子的三阶边值问题，利用C0，1]空间中全连续算予的一个不动点定理。给出了上面边值问题至少有一个正解的结论。作为结果的应用，文章最后给出了一个例子。
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| 关 键 词： | 正解 边值问题 p-Laplacian算子 |
Positive Solutions for Third-order Boundary Value Problem with p -Laplacian |
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| ZHANG Jie-ming,YANG Chen.Positive Solutions for Third-order Boundary Value Problem with p -Laplacian[J].Journal of Taiyuan Heavy Machinery Institute,2010(5):424-427. |
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| Authors: | ZHANG Jie-ming YANG Chen |
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| Affiliation: | ( Department of Mathematics, Business College of Shanxi University ,Taiyuan030024 ,China) |
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| Abstract: | This paper considers third-order boundary value problem with p-Laplacian. By means of a fixed-point theorem for completely continuous operators in C 0, 1 ] spaces, the existence of at least one positive solution for the above boundary value problem is obtained. As an application, an example is given to demonstrate the main result. |
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| Keywords: | positive solution boundary value problem p -Laplacian operator |
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