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

Advances in Difference Equations

Xiangkui Zhao¹  Fengjiao An¹ 

[1] Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, P.R. China

关键词: eigenvalues;    fractional differential equations;    sign-changing solutions;    fixed point index;    Leray-Schauder degree;    26A33;    34A08;    34B09;   

DOI  :  10.1186/s13662-016-0838-y

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY