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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 8, Pages 3–12
DOI: https://doi.org/10.26907/0021-3446-2019-8-3-12 (Mi ivm9487) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A method of normal forms for nonlinear singularly perturbed systems in case of intersection of eigenvalues of limit operator

V. S. Abramov, A. A. Bobodzhanov, M. A. Bobodzhanova

National research University "MEI", 14 Krasnokazarmennaya str. , Moscow, 111250 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-8-3-12
Abstract: The Lomov regularization method is generalized on weakly nonlinear singularly perturbed problems in the case of intersection of the roots of the characteristic equation of the limit operator. To construct asymptotic solutions, we use the idea of initial problems with the use of normal forms, first realized in nonlinear systems by Safonov V.F. and Bobodzhanov A.A.
Keywords: singularly perturbed, normal form, regularization, asymptotic convergence.
Received: 17.06.2018
Revised: 17.06.2018
Accepted: 26.09.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 8, Pages 1–9
DOI: https://doi.org/10.3103/S1066369X19080012
Bibliographic databases:
Document Type: Article
UDC: 517.928
Language: Russian
Citation: V. S. Abramov, A. A. Bobodzhanov, M. A. Bobodzhanova, “A method of normal forms for nonlinear singularly perturbed systems in case of intersection of eigenvalues of limit operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 8, 3–12; Russian Math. (Iz. VUZ), 63:8 (2019), 1–9
Citation in format AMSBIB
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\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 8
\pages 3--12
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    • This publication is cited in the following 1 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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