A Self-Adjoint Coupled System of Nonlinear Ordinary Differential Equations with Nonlocal Multi-Point Boundary Conditions on an Arbitrary Domain
Date
2021
Authors
Srivastava, H.M.
Ntouyas, Sotiris K.
Alsulami, Mona
Alsaedi, Ahmed
Ahmad, Bashir
Journal Title
Journal ISSN
Volume Title
Publisher
Applied Sciences
Abstract
The main object of this paper is to investigate the existence of solutions for a self-adjoint
coupled system of nonlinear second-order ordinary differential equations equipped with nonlocal
multi-point coupled boundary conditions on an arbitrary domain. We apply the Leray–Schauder
alternative, the Schauder fixed point theorem and the Banach contraction mapping principle in order
to derive the main results, which are then well-illustrated with the aid of several examples. Some
potential directions for related further researches are also indicated.
Description
Keywords
system of ordinary differential equations, nonlocal multi-point boundary conditions, sturm-liouville problems, existence results, uniqueness results, schauder fixed point theorem, Leray-Schauder alternative, banach contradiction mapping principle
Citation
Srivastava, H. M., Ntouyas, S. K., Alsulami, M., Alsaedi, A., & Ahmad, B. (2021). A Self- Adjoint Coupled System of Nonlinear Ordinary Differential Equations with Nonlocal Multi-Point Boundary Conditions on an Arbitrary Domain. Applied Sciences, 11(11), 1- 14. https://doi.org/10.3390/app11114798.