Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 192, Pages 55–64
DOI: https://doi.org/10.36535/0233-6723-2021-192-55-64 (Mi into781) 		 
Solution of the singularly perturbed Cauchy problem with a “weak” turning point of the limit operator

A. G. Eliseev, P. V. Kirichenko

National Research University "Moscow Power Engineering Institute"
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DOI: https://doi.org/10.36535/0233-6723-2021-192-55-64
Abstract: In this paper, we propose a method for constructing an asymptotic solution to a singularly perturbed Cauchy problem in the case of violation of the stability conditions for the spectrum of the limit operator. In particular, we consider a problem with a turning point where eigenvalues coincide at $t=0$.
Keywords: singularly perturbed problem, turning point, regularization method.
Document Type: Article
UDC: 517.928.2
MSC: 34E20
Language: Russian
Citation: A. G. Eliseev, P. V. Kirichenko, “Solution of the singularly perturbed Cauchy problem with a “weak” turning point of the limit operator”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 192, VINITI, Moscow, 2021, 55–64
Citation in format AMSBIB
\Bibitem{EliKir21}
\by A.~G.~Eliseev, P.~V.~Kirichenko
\paper Solution of the singularly perturbed Cauchy problem with a ``weak'' turning point of the limit operator
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin
readings – XXX”.
Voronezh, May 3-9, 2019. Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 192
\pages 55--64
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into781}
\crossref{https://doi.org/10.36535/0233-6723-2021-192-55-64}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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