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

页数：13

共 50 条

[41] Optimal existence criteria for symmetric positive solutions to a three-point boundary value problem
Sun, Yongping
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (05) : 1051 - 1063
[42] EXISTENCE AND CONVERGENCE OF SOLUTIONS TO THREE-POINT BOUNDARY VALUE PROBLEMS
Sharifov, Y. A.
Ismayilova, K. E.
PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL II, 2018, : 271 - 273
[43] EXISTENCE OF THREE NON-NEGATIVE SOLUTIONS FOR A THREE-POINT BOUNDARY-VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Li, Haitao
Kong, Xiangshan
Yu, Changtian
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[44] Solvability of a Three-Point Fractional Nonlinear Boundary Value Problem
Guezane-Lakoud A.
Khaldi R.
Differential Equations and Dynamical Systems, 2012, 20 (4) : 395 - 403
[45] Numerical Solutions for the Three-Point Boundary Value Problem of Nonlinear Fractional Differential Equations
Zhang, C. P.
Niu, J.
Lin, Y. Z.
ABSTRACT AND APPLIED ANALYSIS, 2012,
[46] On solutions of a class of three-point fractional boundary value problems
Bai, Zhanbing
Cheng, Yu
Sun, Sujing
BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
[47] On solutions of a class of three-point fractional boundary value problems
Zhanbing Bai
Yu Cheng
Sujing Sun
Boundary Value Problems, 2020
[48] The Existence of Positive Solution to Three-Point Singular Boundary Value Problem of Fractional Differential Equation
Tian, Yuansheng
Chen, Anping
ABSTRACT AND APPLIED ANALYSIS, 2009,
[49] EXISTENCE AND UNIQUENESS RESULTS FOR THREE-POINT NONLINEAR FRACTIONAL (ARBITRARY ORDER) BOUNDARY VALUE PROBLEM
Kumar, Sachin
Vats, Ramesh Kumar
Nashine, Hemant Kumar
MATEMATICKI VESNIK, 2018, 70 (04): : 314 - 325
[50] Existence and uniqueness of strictly nondecreasing and positive solution for a fractional three-point boundary value problem
Liang, Sihua
Zhang, Jihui
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1333 - 1340

← 1 2 3 4 5 →