Asymptotic integration of singularly perturbed differential-algebraic equations with turning points. II
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).
W. Wasow, Linear turning point theory, Springer-Verlag, New York (1985), https://doi.org/10.1007/978-1-4612-1090-0 DOI: https://doi.org/10.1007/978-1-4612-1090-0
A. Ostrowski, Solution of equations in Euclidean and Banach spaces, Acad. Press, New York (1973).
Copyright (c) 2021 Петро Федорович Самусенко
This work is licensed under a Creative Commons Attribution 4.0 International License.
