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

Authors

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

DOI:

https://doi.org/10.3842/nosc.v28i2.1523

Abstract

We investigate the two-point boundary-value-problem for the singularly perturbed differential-algebraic system in the case of simple roots of the characteristic equation. We determine the sufficient conditions for the existence and uniqueness of the solution of this boundary-value problem and give its asymptotic expansion.

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Published

2025-06-29

Issue

Vol. 28 No. 2 (2025)

Section

Articles

How to Cite

Asymptotic integration of the boundary-value problems for singularly perturbed differential-algebraic systems. (2025). Neliniini Kolyvannya, 28(2), 177-195. https://doi.org/10.3842/nosc.v28i2.1523