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.
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Дата: | 2014 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2014
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Назва видання: | Журнал математической физики, анализа, геометрии |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106785 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | 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. |
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irk-123456789-1067852017-05-27T16:13:50Z On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients Kholkin, A.M. Rofe-Beketov, F.S. 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. 2014 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/106785 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
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. |
format |
Article |
author |
Kholkin, A.M. Rofe-Beketov, F.S. |
spellingShingle |
Kholkin, A.M. Rofe-Beketov, F.S. On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients Журнал математической физики, анализа, геометрии |
author_facet |
Kholkin, A.M. Rofe-Beketov, F.S. |
author_sort |
Kholkin, A.M. |
title |
On Spectrum of Differential Operator with Block-Triangular Matrix Coefficients |
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 |
publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
publishDate |
2014 |
url |
http://dspace.nbuv.gov.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. |
series |
Журнал математической физики, анализа, геометрии |
work_keys_str_mv |
AT kholkinam onspectrumofdifferentialoperatorwithblocktriangularmatrixcoefficients AT rofebeketovfs onspectrumofdifferentialoperatorwithblocktriangularmatrixcoefficients |
first_indexed |
2023-10-18T20:13:42Z |
last_indexed |
2023-10-18T20:13:42Z |
_version_ |
1796149308568895488 |