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Existence Results for a Self-adjoint Coupled System of Three Nonlinear Ordinary Differential Equations with Cyclic Boundary Conditions
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Existence Results for a Self-adjoint Coupled System of Three Nonlinear Ordinary Differential Equations with Cyclic Boundary Conditions

Bashir Ahmad, Amal Almalki, Sotiris K. Ntouyas and Ahmed Alsaedi
Qualitative theory of dynamical systems, Vol.21(3)
01/09/2022
DOI: https://doi.org/10.1007/s12346-022-00616-8

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study the existence of solutions to a self-adjoint coupled system of three nonlinear second-order ordinary differential equations equipped with cyclic boundary conditions. We apply the tools of fixed point theory to obtain criteria ensuring the existence and uniqueness of solutions to the problem at hand. Examples are presented for the illustration of the obtained results.

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