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Abstract <p>A central role in complex differential equations is given to the study of the number of zeros of analytic and meromorphic solitons. The situation is strikingly different for real ordinary differential equations. Until recently, the zeros of solutions of very few real ordinary resurrected equations (mostly of the second order) were considered. Particularly, the zeros of solutions of first-order equations were not considered at all. In this paper, we study the zeros for solutions of the following first-order basic equation <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(f^{\prime}=F(f)\)</EquationSource> <!--LobJMat2560982Barsegian-m1--> </InlineEquation>.</p>

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Zeros of Solutions of One of the Primary Equations of the First Order

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • G. Barsegian,
  • H. Begehr

摘要

Abstract

A central role in complex differential equations is given to the study of the number of zeros of analytic and meromorphic solitons. The situation is strikingly different for real ordinary differential equations. Until recently, the zeros of solutions of very few real ordinary resurrected equations (mostly of the second order) were considered. Particularly, the zeros of solutions of first-order equations were not considered at all. In this paper, we study the zeros for solutions of the following first-order basic equation \(f^{\prime}=F(f)\) .