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

• Bashir Ahmad ^[1] ; Amal Almalki ^[1] ; Sotiris K. Ntouyas ^[2] ; Ahmed Alsaedi ^[1]
  1. [1] King Abdulaziz University

     King Abdulaziz University

     Arabia Saudí

     
  2. [2] King Abdulaziz University & University of Ioannina
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 3, 2022
• Idioma: inglés
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• Resumen

  • 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.