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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| Date: | 2009 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/5710 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862701783626809344 |
|---|---|
| author | Khrabustovskyi, V. |
| author_facet | Khrabustovskyi, V. |
| 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. |
| collection | DSpace DC |
| 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.
|
| first_indexed | 2025-12-07T16:42:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-5710 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1029-3531 |
| language | English |
| last_indexed | 2025-12-07T16:42:56Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| 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 |
| spellingShingle | Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions Khrabustovskyi, V. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/5710 |
| work_keys_str_mv | AT khrabustovskyiv expansionineigenfunctionsofrelationsgeneratedbypairofoperatordifferentialexpressions |