Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions
For relations generated by a pair of operator symmetric differential expressions, a class of generalized resolvents is found. These resolvents are integro-differential operators. The expansion in eigenfunctions of these relations is obtained.
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Дата: | 2009 |
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Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2009
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Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/5710 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | Expansion in eigenfunctions of relations generated by pair of operator differential expressions / V. Khrabustovskyi // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 137-151. — Бібліогр.: 29 назв. — англ. |
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irk-123456789-57102010-02-03T12:01:13Z Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions Khrabustovskyi, V. For relations generated by a pair of operator symmetric differential expressions, a class of generalized resolvents is found. These resolvents are integro-differential operators. The expansion in eigenfunctions of these relations is obtained. 2009 Article Expansion in eigenfunctions of relations generated by pair of operator differential expressions / V. Khrabustovskyi // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 137-151. — Бібліогр.: 29 назв. — англ. 1029-3531 http://dspace.nbuv.gov.ua/handle/123456789/5710 en Інститут математики НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
description |
For relations generated by a pair of operator symmetric differential expressions, a class of generalized resolvents is found. These resolvents are integro-differential operators. The expansion in eigenfunctions of these relations is obtained. |
format |
Article |
author |
Khrabustovskyi, V. |
spellingShingle |
Khrabustovskyi, V. Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions |
author_facet |
Khrabustovskyi, V. |
author_sort |
Khrabustovskyi, V. |
title |
Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions |
title_short |
Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions |
title_full |
Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions |
title_fullStr |
Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions |
title_full_unstemmed |
Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions |
title_sort |
expansion in eigenfunctions of relations generated by pair of operator differential expressions |
publisher |
Інститут математики НАН України |
publishDate |
2009 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/5710 |
citation_txt |
Expansion in eigenfunctions of relations generated by pair of operator differential expressions / V. Khrabustovskyi // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 137-151. — Бібліогр.: 29 назв. — англ. |
work_keys_str_mv |
AT khrabustovskyiv expansionineigenfunctionsofrelationsgeneratedbypairofoperatordifferentialexpressions |
first_indexed |
2023-10-18T16:33:27Z |
last_indexed |
2023-10-18T16:33:27Z |
_version_ |
1796139300342988800 |