Srivastava, H.M.Ntouyas, Sotiris K.Alsulami, MonaAlsaedi, AhmedAhmad, Bashir2021-06-152021-06-1520212021Srivastava, 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.https://doi.org/10.3390/app11114798http://hdl.handle.net/1828/13036The 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.ensystem of ordinary differential equationsnonlocal multi-point boundary conditionssturm-liouville problemsexistence resultsuniqueness resultsschauder fixed point theoremLeray-Schauder alternativebanach contradiction mapping principleArticleDepartment of Mathematics and Statistics