General Solutions of a Class of nth-Order Nonlocal Differential Equations

• Qunyu Yuan ^[1] ; Xiaoyu Cheng ^[1] ; Qing Huang ^[1]
  1. [1] Northwest University

     Northwest University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 3, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, general solutions of a class of nth-order nonlocal inhomogeneous differential equations are constructed by function decomposition. We transform the nonlocal model into local models under the even and odd constraints, which are solved based on the classical ODE techniques. General solutions are classified in nine cases for even n and five cases with odd n, with respect to the parameters in the equation under study

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