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<p>In this paper, we investigate the existence and uniqueness of pseudo-almost periodic solutions for a class of neutral functional differential equations featuring infinite distributed delays. Our analysis employs the properties of almost periodic functions and the concept of exponential dichotomy for linear systems. Additionally, we utilize Krasnoselskii’s fixed point theorem and the Banach contraction principle to rigorously establish our results. This combination of techniques allows us to effectively address the complexities inherent in these types of differential equations and provide significant insights into their solution behavior.</p>

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Fixed point approach for pseudo-almost periodic solutions of neutral functional differential equations with infinite distributed delay

  • 期刊论文

  • 发表日期：

    2026年5月20日

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  • Dhaou Lassoued,
  • Anouar Houmia

摘要

In this paper, we investigate the existence and uniqueness of pseudo-almost periodic solutions for a class of neutral functional differential equations featuring infinite distributed delays. Our analysis employs the properties of almost periodic functions and the concept of exponential dichotomy for linear systems. Additionally, we utilize Krasnoselskii’s fixed point theorem and the Banach contraction principle to rigorously establish our results. This combination of techniques allows us to effectively address the complexities inherent in these types of differential equations and provide significant insights into their solution behavior.