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<p>In this paper, general solutions of a class of <i>n</i>th-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 <i>n</i> and five cases with odd <i>n</i>, with respect to the parameters in the equation under study.</p>

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

  • 期刊论文

  • 发表日期：

    2025年4月5日

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  • Qunyu Yuan,
  • Xiaoyu Cheng,
  • Qing Huang

摘要

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.