Asymptotic integration of boundary-value problems for the singularly perturbed differential-algebraic systems in the critical case

Authors

  • Vladyslav Kobeliatskyi National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” image/svg+xml
  • Petro Samusenko National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” image/svg+xml

DOI:

https://doi.org/10.3842/nosc.v29i1.1543

Abstract

We investigate the two-point boundary-value problem for the singularly perturbed differential-algebraic system in the critical case. We find the sufficient conditions for the existence and uniqueness of the solution of this boundary-value problem and give its asymptotic solution.

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Published

2026-03-30

Issue

Vol. 29 No. 1 (2026)

Section

Articles

How to Cite

Asymptotic integration of boundary-value problems for the singularly perturbed differential-algebraic systems in the critical case. (2026). Neliniini Kolyvannya, 29(1), 18-43. https://doi.org/10.3842/nosc.v29i1.1543