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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 306, Pages 83–99
DOI: https://doi.org/10.4213/tm3980 (Mi tm3980) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Nonstandard Lagrangian Singularities and Asymptotic Eigenfunctions of the Degenerating Operator $-\frac{d}{dx}D(x)\frac{d}{dx}$

S. Yu. Dobrokhotovab, V. E. Nazaikinskiiab

a Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101-1, Moscow, 119526 Russia
b Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701 Russia
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DOI: https://doi.org/10.4213/tm3980
Abstract: We express the asymptotic eigenfunctions of the operator $-\frac{d}{dx}D(x)\frac{d}{dx}$ that degenerates at the endpoints of an interval in terms of the modified Maslov canonical operator introduced in our previous studies.
Funding agency Grant number
Russian Science Foundation 16-11-10282
This work is supported by the Russian Science Foundation under grant 16-11-10282.
Received: October 12, 2018
Revised: January 24, 2019
Accepted: May 31, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 306, Pages 74–89
DOI: https://doi.org/10.1134/S0081543819050080
Bibliographic databases:
Document Type: Article
UDC: 517.958+517.928.2
Language: Russian
Citation: S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Nonstandard Lagrangian Singularities and Asymptotic Eigenfunctions of the Degenerating Operator $-\frac{d}{dx}D(x)\frac{d}{dx}$”, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019, 83–99; Proc. Steklov Inst. Math., 306 (2019), 74–89
Citation in format AMSBIB
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\paper Nonstandard Lagrangian Singularities and Asymptotic Eigenfunctions of the Degenerating Operator $-\frac{d}{dx}D(x)\frac{d}{dx}$
\inbook Mathematical physics and applications
\bookinfo Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov
\serial Trudy Mat. Inst. Steklova
\yr 2019
\vol 306
\pages 83--99
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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