Existence Theory For A Self-Adjoint Coupled System Of Nonlinear Ordinary Differential Equations With Nonlocal Integral Multi-Point Boundary Conditions

被引：0

作者：

Alsaedi, Ahmed ^{[1
]}

Almalki, Amal ^{[1
,2
]}

Ntouyas, Sotiris K. ^{[3
]}

Ahmad, Bashir ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

[2] Al Baha Univ, Fac Sci, Dept Math, POB 1988,, Al Baha 4781, Saudi Arabia

[3] Univ Ioannina, Dept Math, Ioannina 45110, Greece

来源：

APPLIED MATHEMATICS E-NOTES | 2022年 / 22卷

关键词：

POSITIVE SOLUTIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we develop criteria ensuring the existence and uniqueness of solutions for a self-adjoint coupled system of nonlinear second-order ordinary differential equations equipped with nonlocal integral multi-point coupled boundary conditions on an arbitrary domain. The existence results are proved via Leray-Schauder alternative and Schauder fixed point theorem, while the existence of a unique solution is obtained by applying the Banach contraction mapping principle. Finally some examples are constructed for illustration of the obtained results.

引用

页码：496 / 508

页数：13

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