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<p>In this paper, we investigate some delay differential equations, and obtain some results on value distribution, such as poles and fixed points of transcendental meromorphic solutions <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10476_2025_99_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="35" /> </InlineMediaObject> <EquationSource Format="TEX">\(w(z)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>w</mi> <mo stretchy="false">(</mo> <mi>z</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> with hyper order strictly less than 1, and their differences <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10476_2025_99_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="48" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Delta w(z)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Δ</mi> <mi>w</mi> <mo stretchy="false">(</mo> <mi>z</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>.</p>

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Properties of meromorphic solutions of some delay differential equations

  • 期刊论文

  • 发表日期：

    2025年8月6日

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  • Y. Xu,
  • S. Lan

摘要

In this paper, we investigate some delay differential equations, and obtain some results on value distribution, such as poles and fixed points of transcendental meromorphic solutions \(w(z)\) w ( z ) with hyper order strictly less than 1, and their differences \(\Delta w(z)\) Δ w ( z ) .