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

页码：1 / 14

页数：14

共 50 条

[31] Multiple solutions to nonlocal Neumann boundary problem with sign-changing coefficients
Hu, Jiaqing
Mao, Anmin
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, : 1982 - 1995
[32] Constant-sign and sign-changing solutions for the Sturm–Liouville boundary value problems
Tieshan He
Zhaohong Sun
Hongming Yan
Yimin Lu
[J]. Monatshefte für Mathematik, 2016, 179 : 41 - 55
[33] Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity
Rulan Bai
Kemei Zhang
Xue-Jun Xie
[J]. Boundary Value Problems, 2023
[34] Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity
Bai, Rulan
Zhang, Kemei
Xie, Xue-Jun
[J]. BOUNDARY VALUE PROBLEMS, 2023, 2023 (01)
[35] Existence of symmetric positive solutions for a multipoint boundary value problem with sign-changing nonlinearity on time scales
Tokmak, Fatma
Karaca, Ilkay Yaslan
[J]. BOUNDARY VALUE PROBLEMS, 2013,
[36] Existence of symmetric positive solutions for a multipoint boundary value problem with sign-changing nonlinearity on time scales
Fatma Tokmak
Ilkay Yaslan Karaca
[J]. Boundary Value Problems, 2013
[37] Solutions of Sign-Changing Fractional Differential Equation with the Fractional Derivatives
Wu, Tunhua
Zhang, Xinguang
Lu, Yinan
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[38] Eigenvalues of Discrete Second-order Coupled Boundary Value Problems with Sign-changing Weight
Zhang, Yalin
[J]. IAENG International Journal of Applied Mathematics, 2023, 53 (02):
[39] Positive solutions of discrete Neumann boundary value problems with sign-changing nonlinearities
Bai, Dingyong
Henderson, Johnny
Zeng, Yunxia
[J]. BOUNDARY VALUE PROBLEMS, 2015, : 1 - 9
[40] Positive solutions of discrete Neumann boundary value problems with sign-changing nonlinearities
Dingyong Bai
Johnny Henderson
Yunxia Zeng
[J]. Boundary Value Problems, 2015

← 1 2 3 4 5 →