Existence of solutions to a system of fractional three-point boundary value problem at resonance

被引：1

作者：

Sun, Rongpu ^{[1
]}

Bai, Zhanbing ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2024年 / 470卷

基金：

中国国家自然科学基金;

关键词：

System of boundary value problem; Coincidence degree; Resonance; SOLVABILITY; MULTIPLICITY;

D O I：

10.1016/j.amc.2024.128576

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the existence of solutions to a system of fractional three-point boundary value problem at resonance is investigated. By introducing the Moore -Penrose generalized inverse matrix to construct projectors in Double-struck capital Rn, which effectively relaxes conditions of the matrix in the boundary value conditions. The main result is established by utilizing the coincidence degree theorem of Mawhin.

引用

下载

页数：13

共 50 条

[1] Existence of solutions for a three-point boundary value problem at resonance
An, Yulian
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (08) : 1633 - 1643
[2] Existence of solutions for nonlinear fractional three-point boundary value problems at resonance
Zhang Y.
Bai Z.
Journal of Applied Mathematics and Computing, 2011, 36 (1-2) : 417 - 440
[3] Existence of solutions for a three-point Hadamard fractional resonant boundary value problem
Gholami, Yousef
JOURNAL OF APPLIED ANALYSIS, 2023, 29 (01) : 31 - 47
[4] Existence and Uniqueness of Positive Solutions for a Singular Fractional Three-Point Boundary Value Problem
Cabrera, I. J.
Harjani, J.
Sadarangani, K. B.
ABSTRACT AND APPLIED ANALYSIS, 2012,
[5] EXISTENCE OF SOLUTIONS FOR A COUPLED SYSTEM OF THREE-POINT FRACTIONAL ORDER BOUNDARY VALUE PROBLEMS
Prasad, K. R.
Krushna, B. M. B.
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2015, 7 (02): : 187 - 200
[6] Existence of the solutions for a class of nonlinear fractional order three-point boundary value problems with resonance
Ouyang, Zigen
Li, Gangzhao
BOUNDARY VALUE PROBLEMS, 2012,
[7] Existence of Three Positive Solutions to Three-Point Boundary Value Problem of Nonlinear Fractional Differential Equation
Chen A.
Tian Y.
Differential Equations and Dynamical Systems, 2010, 18 (3) : 327 - 339
[8] Existence of the solutions for a class of nonlinear fractional order three-point boundary value problems with resonance
Zigen Ouyang
Gangzhao Li
Boundary Value Problems, 2012
[9] Existence of positive solutions for a fractional high-order three-point boundary value problem
Guoqing Chai
Songlin Hu
Advances in Difference Equations, 2014
[10] Existence of positive solutions for a fractional high-order three-point boundary value problem
Chai, Guoqing
Hu, Songlin
ADVANCES IN DIFFERENCE EQUATIONS, 2014,

← 1 2 3 4 5 →