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<p>We establish sufficient conditions for the existence and uniqueness of the solution to the two-point boundary-value problem for a linear singularly perturbed differential-algebraic system in the case of simple roots of the corresponding characteristic equation. An algorithm aimed at the construction of the asymptotic solutions of this boundary-value problem is developed.</p>

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ASYMPTOTIC SOLUTIONS OF BOUNDARY-VALUE PROBLEMS FOR LINEAR SINGULARLY PERTURBED DIFFERENTIAL-ALGEBRAIC SYSTEMS

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Maryna Vira,
  • Mykola Rashevs’ky,
  • Petro Samusenko

摘要

We establish sufficient conditions for the existence and uniqueness of the solution to the two-point boundary-value problem for a linear singularly perturbed differential-algebraic system in the case of simple roots of the corresponding characteristic equation. An algorithm aimed at the construction of the asymptotic solutions of this boundary-value problem is developed.