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<p>The primary objective of this work is to develop a new variation of a constant formula for a class of integrodifferential equations with a non-dense domain. Using this formula with a new composition theorem of Stepanov asymptotically almost periodic functions, we prove the existence of asymptotically almost periodic integral solutions for a specific class of integrodifferential equations with a non-dense domain, where the forcing term is only asymptotically almost periodic in the weak (Stepanov) sense.</p>

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Asymptotically almost periodic solutions for a class of integrodifferential equations governed by a Hille-Yosida operator with non-dense domain.

  • 期刊论文

  • 发表日期：

    2026年2月11日

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  • Abdallah Afoukal,
  • Jaouad El Matloub,
  • Khalil Ezzinbi,
  • Xianlong Fu

摘要

The primary objective of this work is to develop a new variation of a constant formula for a class of integrodifferential equations with a non-dense domain. Using this formula with a new composition theorem of Stepanov asymptotically almost periodic functions, we prove the existence of asymptotically almost periodic integral solutions for a specific class of integrodifferential equations with a non-dense domain, where the forcing term is only asymptotically almost periodic in the weak (Stepanov) sense.