| 分数阶p-Laplacian边值问题正解的存在唯一性 |
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| 引用本文： | 徐家发,董卫.分数阶p-Laplacian边值问题正解的存在唯一性[J].数学学报,2016,59(3):385-396. |
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| 作者姓名： | 徐家发 董卫 |
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| 作者单位： | 1. 重庆师范大学数学科学学院 重庆 401331;
2. 河北工程大学数学系 邯郸 056038 |
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| 基金项目： | 国家自然科学基金资助项目(11371117);河北省自然科学基金资助项目(A2012402036);重庆师范大学基金资助项目(15XLB011) |
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| 摘 要： | 运用Schauder不动点定理和上下解方法研究了一类分数阶p-Laplacian边值问题正解的存在性和唯一性,并给出了唯一解的迭代序列.
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| 关 键 词： | 分数阶p-Laplacian 正解 存在唯一性 迭代 |
Existence and Uniqueness of Positive Solutions for a Fractional Boundary Value Problem with p-Laplacian Operator |
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| Jia Fa XU,Wei DONG.Existence and Uniqueness of Positive Solutions for a Fractional Boundary Value Problem with p-Laplacian Operator[J].Acta Mathematica Sinica,2016,59(3):385-396. |
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| Authors: | Jia Fa XU Wei DONG |
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| Institution: | 1. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, P. R. China;
2. Department of Mathematics, Hebei University of Engineering, Handan 056038, P. R. China |
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| Abstract: | We use the Schauder fixed point theorem and the upper and lower solutions method to investigate the existence and uniqueness of positive solutions for a class of fractional p-Laplacian boundary value problems,and establish the iterative sequences for the unique solution. |
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| Keywords: | fractional p-Laplacian positive solution existence and uniqueness iteration |
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