一类带p-Laplacian算子的分数阶微分方程边值问题正解的存在性
Existence of Positive Solutions for Boundary Value Problem of Fractional Differential Equations with p-Laplacian Operator
DOI: 10.12677/AAM.2020.912269, PDF,    国家自然科学基金支持
作者: 段佳艳*, 王文霞, 郭晓珍：太原师范学院数学系，山西 晋中
关键词: p-Laplacian算子；Leray-Schauder非线性抉择；正解；p-Laplacian Operator； Leray-Schauder Nonlinear Alternative Theorem； Positive Solution
摘要: 本文研究了一类带有p-Laplacian算子的分数阶微分方程边值问题的正解的存在性，利用Leray-Schauder非线性抉择，得出边值问题至少存在一个正解的充分条件，并给出了一个具体的例子。
Abstract: This paper is concerned with the existence of positive solution for a class of boundary value problems of fractional differential equations with p-Laplacian operator. By using  Leray-Schauder nonlinear choice, some sufficient conditions for the existence of at least one positive solution are obtained. In addition, an example is given to illustrate theoretical results.
文章引用：段佳艳, 王文霞, 郭晓珍. 一类带p-Laplacian算子的分数阶微分方程边值问题正解的存在性[J]. 应用数学进展, 2020, 9(12): 2301-2307. https://doi.org/10.12677/AAM.2020.912269

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