Asymptotic integration of singularly perturbed differential-algebraic equations with turning points. II

  • A. M. Samoilenko Inst. Math. Acad. Sci. Ukraine, Kiev
  • P. F. Samusenko National Pedagogical Dragomanov University
Keywords: Asymptotical solution, DAE

Abstract

UDC 517.928

We consider the problem of finding asymptotic solutions to linear singular perturbed differential-algebraic equations with a simple turning point and develop a technique of constructing such asymptotic solutions.

References

A. M. Samojlenko, P. F. Samusenko, Asimptotichne integruvannya singulyarno zburenikh diferenczial`no-algebrayichnikh rivnyan` z tochkami povorotu. I, Ukr. mat. zhurn., 72, № 12, 1669 – 1681 (2020). DOI: https://doi.org/10.37863/umzh.v72i12.6261

Y. Sibuya, Simplification of a system of linear ordinary differential equations about a singular point, Funkcial. Ekvac., 4, 29 – 56 (1962).

P. F. Samusenko, Asimptotichne integruvannya singulyarno zburenikh sistem diferenczial`no-funkczional`nikh rivnyan` z virodzhennyami, Vid-vo NPU im. M. P. Dragomanova, Kiyiv (2011).

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A. Ostrowski, Solution of equations in Euclidean and Banach spaces, Acad. Press, New York (1973).

Published
18.06.2021
How to Cite
Samoilenko , A. M., and P. F. Samusenko. “Asymptotic Integration of Singularly Perturbed Differential-Algebraic Equations With Turning Points. II”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 6, June 2021, pp. 849 -64, doi:10.37863/umzh.v73i6.6260.
Section
Research articles