分数阶p-Laplacian边值问题正解的存在唯一性

徐家发, 董卫

数学学报 ›› 2016, Vol. 59 ›› Issue (3) : 385-396.

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PDF(452 KB)
数学学报 ›› 2016, Vol. 59 ›› Issue (3) : 385-396. DOI: 10.12386/A2016sxxb0037
论文

分数阶p-Laplacian边值问题正解的存在唯一性

    徐家发1, 董卫2
作者信息 +

Existence and Uniqueness of Positive Solutions for a Fractional Boundary Value Problem with p-Laplacian Operator

    Jia Fa XU1, Wei DONG2
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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.

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.

关键词

分数阶p-Laplacian / 正解 / 存在唯一性 / 迭代

Key words

fractional p-Laplacian / positive solution / existence and uniqueness / iteration

引用本文

导出引用
徐家发, 董卫. 分数阶p-Laplacian边值问题正解的存在唯一性. 数学学报, 2016, 59(3): 385-396 https://doi.org/10.12386/A2016sxxb0037
Jia Fa XU, Wei DONG. Existence and Uniqueness of Positive Solutions for a Fractional Boundary Value Problem with p-Laplacian Operator. Acta Mathematica Sinica, Chinese Series, 2016, 59(3): 385-396 https://doi.org/10.12386/A2016sxxb0037

参考文献

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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)

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