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<p>By using asymptotic methods of the theory of differential equations and the method of Newton diagrams, we study the problem of construction of the asymptotic solutions of two-point boundary-value problems for linear singularly perturbed systems of differential equations in the case of a singular boundary matrix pencil that does not contain regular kernels.</p>

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ASYMPTOTICS OF THE SOLUTION OF A TWO-POINT BOUNDARY-VALUE PROBLEM FOR A LINEAR SINGULARLY PERTURBED SYSTEM OF DIFFERENTIAL EQUATIONS IN THE CASE OF A SINGULAR BOUNDARY MATRIX PENCIL (ONE-DIMENSIONAL CASE). PART 1

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Olha Pafyk,
  • Serhii Pafyk

摘要

By using asymptotic methods of the theory of differential equations and the method of Newton diagrams, we study the problem of construction of the asymptotic solutions of two-point boundary-value problems for linear singularly perturbed systems of differential equations in the case of a singular boundary matrix pencil that does not contain regular kernels.