On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients

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. Для уравнения Штурма-Лиувилля с блочно...

Full description

Saved in:
Bibliographic Details
Published in:Журнал математической физики, анализа, геометрии
Date:2014
Main Authors: Kholkin, A.M., Rofe-Beketov, F.S.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2014
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/106785
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients / A.M. Kholkin, F.S. Rofe-Beketov // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 1. — С. 44-63. — Бібліогр.: 24 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-106785
record_format dspace
spelling Kholkin, A.M.
Rofe-Beketov, F.S.
2016-10-05T18:55:24Z
2016-10-05T18:55:24Z
2014
On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients / A.M. Kholkin, F.S. Rofe-Beketov // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 1. — С. 44-63. — Бібліогр.: 24 назв. — англ.
1812-9471
DOI: 10.15407/mag10.01.044
MSC2000: 34K11, 47A10
https://nasplib.isofts.kiev.ua/handle/123456789/106785
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.
Для уравнения Штурма-Лиувилля с блочно-треугольным растущим на бесконечности матричным потенциалом построены убывающие и растущие на бесконечности матричные решения. Установлена структура спектра дифференциального оператора с такими коэффициентами.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Журнал математической физики, анализа, геометрии
On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients
spellingShingle On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients
Kholkin, A.M.
Rofe-Beketov, F.S.
title_short On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients
title_full On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients
title_fullStr On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients
title_full_unstemmed On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients
title_sort on spectrum of differential operator with block-triangular matrix coefficients
author Kholkin, A.M.
Rofe-Beketov, F.S.
author_facet Kholkin, A.M.
Rofe-Beketov, F.S.
publishDate 2014
language English
container_title Журнал математической физики, анализа, геометрии
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
format Article
description 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. Для уравнения Штурма-Лиувилля с блочно-треугольным растущим на бесконечности матричным потенциалом построены убывающие и растущие на бесконечности матричные решения. Установлена структура спектра дифференциального оператора с такими коэффициентами.
issn 1812-9471
url https://nasplib.isofts.kiev.ua/handle/123456789/106785
citation_txt On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients / A.M. Kholkin, F.S. Rofe-Beketov // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 1. — С. 44-63. — Бібліогр.: 24 назв. — англ.
work_keys_str_mv AT kholkinam onspectrumofdifferentialoperatorwithblocktriangularmatrixcoefficients
AT rofebeketovfs onspectrumofdifferentialoperatorwithblocktriangularmatrixcoefficients
first_indexed 2025-12-07T20:09:23Z
last_indexed 2025-12-07T20:09:23Z
_version_ 1850881514894524416