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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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/5710 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-5710 |
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| spelling |
Khrabustovskyi, V. 2010-02-02T13:36:29Z 2010-02-02T13:36:29Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/5710 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. en Інститут математики НАН України Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions |
| spellingShingle |
Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions Khrabustovskyi, V. |
| 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 |
| author |
Khrabustovskyi, V. |
| author_facet |
Khrabustovskyi, V. |
| publishDate |
2009 |
| language |
English |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1029-3531 |
| url |
https://nasplib.isofts.kiev.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. |
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| first_indexed |
2025-12-07T16:42:56Z |
| last_indexed |
2025-12-07T16:42:56Z |
| _version_ |
1850868526685880320 |