Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2014, Volume 10, Number 1, Pages 44–63
DOI: https://doi.org/10.15407/mag10.01.044 (Mi jmag583) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients

A. M. Kholkina, F. S. Rofe-Beketovb

a Pryazovskyi State Technical University, 7 Universitets'ka Str., Mariupol 87500, Ukraine
b B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
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DOI: https://doi.org/10.15407/mag10.01.044
Abstract: For the Sturm–Louville equation with block-triangular matrix potential that increases at infinity, both increasing and decreasing at infinity matrix solutions are found. The structure of spectrum for the differential operator with these coefficients is defined.
Key words and phrases: differential operator, spectrum, block-triangular matrix coefficients.
Received: 05.11.2012
Revised: 15.07.2013
Bibliographic databases:
Document Type: Article
MSC: 34K11, 47A10
Language: English
Citation: A. M. Kholkin, F. S. Rofe-Beketov, “On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients”, Zh. Mat. Fiz. Anal. Geom., 10:1 (2014), 44–63
Citation in format AMSBIB
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\paper On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2014
\vol 10
\issue 1
\pages 44--63
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\crossref{https://doi.org/10.15407/mag10.01.044}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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