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We discuss the problem of asymptotic behavior of all positive non-extensible (so-called “blow-up”) solutions to higher-order ordinary differential equations with a power-law nonlinearity. We are interested in typicality and a-typicality of the power-law asymptotic behavior of its singular solutions.

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On Typical and Atypical Asymptotic Behavior of Singular Solutions to Emden–Fowler Type Equations

  • 会议论文

  • 发表日期：

    2025年

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  • Irina Astashova

摘要

We discuss the problem of asymptotic behavior of all positive non-extensible (so-called “blow-up”) solutions to higher-order ordinary differential equations with a power-law nonlinearity. We are interested in typicality and a-typicality of the power-law asymptotic behavior of its singular solutions.