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一类分数阶微分方程多点边值问题正解的存在性
引用本文:董伟萍,周宗福. 一类分数阶微分方程多点边值问题正解的存在性[J]. 应用数学, 2022, 0(1): 43-52
作者姓名:董伟萍  周宗福
作者单位:安徽大学数学科学学院
基金项目:Supported by the Key Natural Science Foundation of the Education Department of Anhui Province (KJ2019A1303);the Key Natural Science Foundation of the Education Department of Bozhou University(BYZ2018B03);Anhui Provincial Natural Science Foundation (1608085MA12)。
摘    要:本文研究一类分数阶微分方程的多点边值问题.利用Guo-krasnoselskii不动点定理和Leggett-Williams不动点定理,得到正解的存在性和多重性结果.通过一个简单的例子说明了主要结果的应用.

关 键 词:正解  分数阶微分方程  存在性与多重性  多点

Existence of Positive Solutions for a Fractional Differential Equation with Multi-point Boundary Value Problems
DONG Weiping,ZHOU Zongfu. Existence of Positive Solutions for a Fractional Differential Equation with Multi-point Boundary Value Problems[J]. Mathematica Applicata, 2022, 0(1): 43-52
Authors:DONG Weiping  ZHOU Zongfu
Affiliation:(School of Mathematical Sciences,Anhui University,Hefei 230601,China)
Abstract:
Keywords:Positive solution  Fractional differential equation  Existence and multiplicity  Multi-point
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