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分数阶p-Laplacian边值问题正解的存在唯一性 被引量：1

Existence and Uniqueness of Positive Solutions for a Fractional Boundary Value Problem with p-Laplacian Operator
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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. 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.
作者 徐家发 董卫
机构地区 重庆师范大学数学科学学院 河北工程大学数学系
出处 《数学学报（中文版）》 CSCD 北大核心 2016年第3期385-396,共12页 Acta Mathematica Sinica：Chinese Series
基金 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)
关键词 分数阶p-Laplacian 正解 存在唯一性 迭代 fractional p-Laplacian positive solution existence and uniqueness iteration
分类号 O175.15 [理学—基础数学]
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参考文献12

  • 1Bai Z., Lti H., Positive solutions for boundary value problem of nonlinear fractional differential equation, J. Math. Anal. Appl., 2005, 311(2): 495-505.
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数学学报（中文版）
2016年 第3期

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