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<p>In this paper, we study an eigenvalue problem for a fourth-order differential operator on a metric graph which arises in modelling small deformations of plane beam systems with <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10958_2025_7863_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\delta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>δ</mi> </math></EquationSource> </InlineEquation>-type transmission conditions. A lower bound for the minimum eigenvalue is established.</p>

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ESTIMATION OF THE FIRST EIGENVALUE OF A FOURTH-ORDER OPERATOR ON A GRAPH

  • 期刊论文

  • 发表日期：

    2025年9月9日

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  • Victoria Eloeva,
  • Ruslan Kulaev

摘要

In this paper, we study an eigenvalue problem for a fourth-order differential operator on a metric graph which arises in modelling small deformations of plane beam systems with \(\delta \) δ -type transmission conditions. A lower bound for the minimum eigenvalue is established.