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<p>The existence of solutions to a functional integro-differential equation with self-reference and state-dependence with finite and infinite boundary conditions is studied. The uniqueness of those solutions and the continuous dependence of the unique solution on both the nonlocal parameter and the initial data are given. To illustrate the main result, an example is presented.</p>

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Solvability of Self-Reference and State-Dependence Functional Integro-Differential Equation with Nonlocal Condition

  • 期刊论文

  • 发表日期：

    2025年4月28日

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  • A. A. Darwish,
  • M. A. Seddeek,
  • Reda Gamal Ahmed,
  • Ahmed A. El-Deeb,
  • Moataz Ashraf Mohamed,
  • Hossam A. Ghany

摘要

The existence of solutions to a functional integro-differential equation with self-reference and state-dependence with finite and infinite boundary conditions is studied. The uniqueness of those solutions and the continuous dependence of the unique solution on both the nonlocal parameter and the initial data are given. To illustrate the main result, an example is presented.