Spectral Analysis for a Singular Differential System with Integral Boundary Conditions

被引：0

作者：

Fenglong Sun

Lishan Liu

Xinguang Zhang

Yonghong Wu

机构：

[1] Qufu Normal University,School of Mathematical Sciences

[2] Curtin University,Department of Mathematics and Statistics

[3] Yantai University,Department of Mathematics and Informational Science

来源：

Mediterranean Journal of Mathematics | 2016年 / 13卷

关键词：

34B16; 34B18; 34B40; Multiple positive solutions; singular differential system; spectral analysis; fixed-point index; cone;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, by constructing a cone K1 × K2 in the Cartesian product space C[0, 1] × C[0, 1], and using spectral analysis of the relevant linear operator for the corresponding differential system, some properties of the first eigenvalue corresponding to the relevant linear operator are obtained, and the fixed-point index of nonlinear operator in the K1 × K2 is calculated explicitly and the existence of at least one positive solution or two positive solutions of the singular differential system with integral boundary conditions is established.

引用

页码：4763 / 4782

页数：19

共 50 条

[21] ON A COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS
Alkhateeb, Areen
PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL I, 2018, : 74 - 76
[22] On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions
Johnny Henderson
Rodica Luca
Alexandru Tudorache
Fractional Calculus and Applied Analysis, 2015, 18 : 361 - 386
[23] Uniqueness theorem of differential system with coupled integral boundary conditions
Cui, Yujun
Ma, Wenjie
Wang, Xiangzhi
Su, Xinwei
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018, (09) : 1 - 10
[24] Fourth order singular p-Laplacian differential equations with integral boundary conditions
Wei Z.
Zhang M.
Journal of Applied Mathematics and Computing, 2010, 34 (1-2) : 441 - 463
[25] Positive Solutions for a Kind of Singular Nonlinear Fractional Differential Equations with Integral Boundary Conditions
Zhao, Junfang
Lian, Hairong
DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATI ONS, 2013, 47 : 639 - 652
[26] Solutions for a category of singular nonlinear fractional differential equations subject to integral boundary conditions
Debao Yan
Boundary Value Problems, 2022
[27] Positive solution for a class of singular semipositone fractional differential equations with integral boundary conditions
Xingqiu Zhang
Boundary Value Problems, 2012
[28] Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions
Limin Guo
Lishan Liu
Yonghong Wu
Boundary Value Problems, 2016
[29] Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
Lily Li Liu
Xinqiu Zhang
Lishan Liu
Yonghong Wu
Advances in Difference Equations, 2016
[30] Positive solution for a class of singular semipositone fractional differential equations with integral boundary conditions
Zhang, Xingqiu
BOUNDARY VALUE PROBLEMS, 2012,

← 1 2 3 4 5 →