Positive Solutions for Periodic Boundary Value Problems of Fractional Differential Equations with Sign-Changing Nonlinearity and Green's Function

被引：1

作者：

Yan, Rian ^{[1
]}

Zhao, Yige ^{[2
]}

机构：

[1] Hunan City Univ, Sch Math & Comp Sci, Yiyang 413000, Peoples R China

[2] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China

来源：

AXIOMS | 2023年 / 12卷 / 09期

基金：

中国国家自然科学基金;

关键词：

fractional differential equation; sign-changing; periodic boundary condition; fixed-point theorem; 3-POINT BVP; EXISTENCE;

D O I：

10.3390/axioms12090819

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of nonlinear fractional differential equations with periodic boundary condition is investigated. Although the nonlinearity of the equation and the Green's function are sign-changing, the results of the existence and nonexistence of positive solutions are obtained by using the Schaefer's fixed-point theorem. Finally, two examples are given to illustrate the main results.

引用

页数：13

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