Asymptotic integration of the 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

Keywords:

Boundary value problem, asymptotic solution, differential algebraic equations, singular perturbed system

Abstract

This paper deals with the two-point boundary value problem for the singularly perturbed differential-algebraic system. The critical case has been studied. The sufficient conditions for existence and uniqueness of the solution of the boundary value problem for DAEs have been found. The technique of constructing the asymptotic solutions has been developed.

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Published

2026-03-30

Issue

Vol. 29 No. 1 (2026)

Section

Articles

How to Cite

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