The eigenvalues and sign-changing solutions of a fractional boundary value problem

被引：21
|
作者：
Zhao, Xiangkui [1 ]
An, Fengjiao [1 ]
机构：
[1] Univ Sci & Technol Beijing, Dept Appl Math, Sch Math & Phys, Beijing 100083, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
关键词：
eigenvalues; fractional differential equations; sign-changing solutions; fixed point index; Leray-Schauder degree; POSITIVE SOLUTIONS;
D O I：
10.1186/s13662-016-0838-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are interested in the eigenvalues and its algebraic multiplicities of a fractional linear boundary value problem with mixed set of Neumann and Dirichlet boundary conditions. The research results are then applied to consider the sign-changing solutions of the corresponding nonlinear problem by fixed point index and Leray-Schauder degree. To date, no paper has appeared in the literature which discusses sign-changing solutions of fractional boundary value problems. This paper attempts to fill this gap in the literature.
引用
收藏
页码：1 / 14
页数：14
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