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Izvestiya: Mathematics, 2017, Volume 81, Issue 2, Pages 359–390
DOI: https://doi.org/10.1070/IM8542 (Mi im8542) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The phase-integral method in a problem of singular perturbation theory

S. A. Stepin, V. V. Fufaev

Lomonosov Moscow State University
English version PDF (416 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/IM8542
Abstract: This paper is devoted to the development of the phase-integral method as applied to a boundary-value problem modelling the passage from discrete to continuous spectrum in the non-selfadjoint case. Our aim is to study the patterns and features of the asymptotic distribution of eigenvalues of the problem and to describe the topologically distinct types of spectrum configurations in the quasiclassical limit.
Keywords: phase integral, WKB-approximation, Bohr–Sommerfeld–Maslov quantization rule, quasiclassical asymptotics.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00117-a
This paper was written with the financial support of the Russian Foundation for Basic Research (grant no. 16-01-00117-a).
Received: 10.03.2016
Revised: 04.10.2016
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 34E20, 34L20, 34M60, 41A60
Language: English
Original paper language: Russian
Citation: S. A. Stepin, V. V. Fufaev, “The phase-integral method in a problem of singular perturbation theory”, Izv. Math., 81:2 (2017), 359–390
Citation in format AMSBIB
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\paper The phase-integral method in a~problem of singular perturbation theory
\jour Izv. Math.
\yr 2017
\vol 81
\issue 2
\pages 359--390
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  • https://doi.org/10.1070/IM8542
  • https://www.mathnet.ru/eng/im/v81/i2/p129
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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