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

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...

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Bibliographic Details
Published in:Qualitative theory of dynamical systems 2022-09, Vol.21 (3), Article 81
Main Authors: Ahmad, Bashir, Almalki, Amal, Ntouyas, Sotiris K., Alsaedi, Ahmed
Format: Article
Language:English
Subjects:
Boundary conditions
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Fixed points (mathematics)
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear differential equations
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Summary: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.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-022-00616-8