| 一类分数阶Laplacian方程边值问题解的存在性与唯一性 |
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| 引用本文： | 郑春华,宁艳艳.一类分数阶Laplacian方程边值问题解的存在性与唯一性[J].云南民族大学学报(自然科学版),2014,23(6):429-433. |
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| 作者姓名： | 郑春华 宁艳艳 |
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| 作者单位： | 陕西工业职业技术学院基础部,陕西咸阳,712000 |
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| 基金项目： | 国家自然科学基金，陕西工业职业技术学院科研项目 |
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| 摘 要： | 研究了一类分数阶p-Laplacian方程2点边值问题解的存在性,利用Leray-Schauder非线性抉择和Banach压缩映射原理获得了该边值问题解存在性和唯一性的充分条件,得到了一些新的结果.
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| 关 键 词： | 分数阶微分方程 p-Laplace算子 两点边值问题 Leray-Schauder非线性抉择 Banach压缩映射原理 |
Existence and uniqueness of the solutions to a boundaryvalue problem for a class of fractional differentialequations with p-Laplace operator |
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| ZHENG Chun-hua,NING Yan-yan.Existence and uniqueness of the solutions to a boundaryvalue problem for a class of fractional differentialequations with p-Laplace operator[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2014,23(6):429-433. |
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| Authors: | ZHENG Chun-hua NING Yan-yan |
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| Institution: | ZHENG Chun-hua;NING Yan-yan;Basic Courses Department,Shaanxi Polytechnic Institute; |
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| Abstract: | The class of fractional differential equation with a two-point boundary value problem and p-Laplace operator is studied. By using the Leray-Schauder nonlinear alternative theorem and Banach contraction mapping principle,some sufficient conditions concerning the existence and uniqueness of solutions for this boundary value problem are obtained. Some known results are extended and improved. |
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| Keywords: | fractioal order differential equation p-Laplace operator two-point boundary value problem Leray-Schauder nonlinear alternative theorem Banach contraction mapping principle |
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