Existence of Solutions to Nonlinear Fourth-Order Beam Equation

• Urszula Ostaszewska ^[1] ; Ewa Schmeidel ^[1] ; Małgorzata Zdanowicz ^[1]
  1. [1] University of Białystok

     University of Białystok

     Białystok, Polonia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 3, 2023
• Idioma: inglés
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• Resumen

  • This paper studies the boundary value problem for a fourth-order difference equation with three quasidifferences. The new existence criterion of at least one solution to the issues considered is obtained using the theory of variational methods. The main result is illustrated in some examples.