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<p>We study a two-point boundary-value problem for a singularly perturbed differential-algebraic system in the case of simple roots of the characteristic equation. We also establish sufficient conditions for the existence and uniqueness of solution to this boundary-value problem and present its asymptotic expansion.</p>

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Asymptotic Integration of Boundary-Value Problems for Singularly Perturbed Differential-Algebraic Systems

  • 期刊论文

  • 发表日期：

    2026年8月1日

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  • Vladyslav Kobeliatskyi,
  • Petro Samusenko

摘要

We study a two-point boundary-value problem for a singularly perturbed differential-algebraic system in the case of simple roots of the characteristic equation. We also establish sufficient conditions for the existence and uniqueness of solution to this boundary-value problem and present its asymptotic expansion.