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Matematicheskie Zametki, 2023, Volume 114, Issue 6, paper published in the English version journal (Mi mzm14271)  
First Asymptotics of Solutions of Degenerate Second-Order Differential Equations

V. P. Arkhipova, A. V. Glushakb

a Orel State University named after I. S. Turgenev, Orel, 302026, Russia
b Belgorod National Research University, Belgorod, 308015, Russia
Abstract: We propose a method for constructing asymptotic representations of solutions of linear degenerate second-order ordinary differential equations, which permits one to construct exact asymptotics of solutions in a neighborhood of the degeneracy point. An example where one finds a power-law asymptotics is given.
Keywords: degenerate differential equation, degeneracy point, asymptotic representation, power asymptotics.
Funding agency
This work was supported by ongoing institutional funding.
Received: 08.05.2023
Revised: 20.06.2023
English version:
Mathematical Notes, 2023, Volume 114, Issue 6, Pages 1107–1117
DOI: https://doi.org/10.1134/S0001434623110445
Bibliographic databases:
Document Type: Article
Language: English
Citation: V. P. Arkhipov, A. V. Glushak, “First Asymptotics of Solutions of Degenerate Second-Order Differential Equations”, Math. Notes, 114:6 (2023), 1107–1117
Citation in format AMSBIB
\Bibitem{ArkGlu23}
\by V.~P.~Arkhipov, A.~V.~Glushak
\paper First Asymptotics of Solutions of Degenerate Second-Order Differential Equations
\jour Math. Notes
\yr 2023
\vol 114
\issue 6
\pages 1107--1117
\mathnet{http://mi.mathnet.ru/mzm14271}
\crossref{https://doi.org/10.1134/S0001434623110445}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85187537497}
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