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<p>This research focuses on establishing the existence of second-order solutions for neutral functional differential inclusions. Both finite and state-dependent delays are considered. We employ M<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12591_2025_718_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\ddot{o}\)</EquationSource> <EquationSource Format="MATHML"><math> <mover accent="true"> <mi>o</mi> <mo>¨</mo> </mover> </math></EquationSource> </InlineEquation>nch’s fixed point theorem to establish the existence of these solutions, while also utilizing the concept of measures of noncompactness. An example is provided which illustrates our results.</p>

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Second Order Neutral Functional Differential Inclusions with Delay

  • 期刊论文

  • 发表日期：

    2025年4月22日

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  • Imene Medjadj,
  • Abdelkrim Salim,
  • Mouffak Benchohra

摘要

This research focuses on establishing the existence of second-order solutions for neutral functional differential inclusions. Both finite and state-dependent delays are considered. We employ M \(\ddot{o}\) o ¨ nch’s fixed point theorem to establish the existence of these solutions, while also utilizing the concept of measures of noncompactness. An example is provided which illustrates our results.