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.
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页码：496 / 508
页数：13
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