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Funktsional'nyi Analiz i ego Prilozheniya, 2008, Volume 42, Issue 2, Pages 11–22
DOI: https://doi.org/10.4213/faa2898 (Mi faa2898) 		 
This article is cited in 4 scientific papers (total in 5 papers)

On the Asymptotics of the Spectrum of a Nonsemibounded Vector Sturm–Liouville Operator

R. S. Ismagilova, A. G. Kostyuchenkob

a N. E. Bauman Moscow State Technical University
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (217 kB) Citations (5)
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DOI: https://doi.org/10.4213/faa2898
Abstract: On the half-line, we consider a vector Sturm–Liouville operator with a potential that is unbounded below. Asymptotic formulas for the spectrum are given. These formulas involve the eigenvalues of the matrix potential as well as the “rotational velocities” of the eigenvectors.
Keywords: Sturm–Liouville operator, spectrum, asymptotics.
Received: 12.01.2008
English version:
Functional Analysis and Its Applications, 2008, Volume 42, Issue 2, Pages 89–97
DOI: https://doi.org/10.1007/s10688-008-0014-6
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: R. S. Ismagilov, A. G. Kostyuchenko, “On the Asymptotics of the Spectrum of a Nonsemibounded Vector Sturm–Liouville Operator”, Funktsional. Anal. i Prilozhen., 42:2 (2008), 11–22; Funct. Anal. Appl., 42:2 (2008), 89–97
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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