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.
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收藏
页数：13
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