Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner
For the relations generated by a pair of differential operator expressions one of which depends on the spectral parameter in the Nevanlinna manner we construct the analogs of the generalized resolvents which are integro-differential operators. Для отношений, порожденных парой дифференциальных операт...
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2013 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106769 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner / V. Khrabustovskyi // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 4. — С. 496-535. — Бібліогр.: 37 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862627731986972672 |
|---|---|
| author | Khrabustovskyi, V. |
| author_facet | Khrabustovskyi, V. |
| citation_txt | Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner / V. Khrabustovskyi // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 4. — С. 496-535. — Бібліогр.: 37 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | For the relations generated by a pair of differential operator expressions one of which depends on the spectral parameter in the Nevanlinna manner we construct the analogs of the generalized resolvents which are integro-differential operators.
Для отношений, порожденных парой дифференциальных операторных выражений, одно из которых зависит от спектрального параметра неванлиновским образом, построены аналоги обобщенных резольвент, которые являются интегро-дифференциальными операторами.
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| first_indexed | 2025-12-07T13:40:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106769 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T13:40:03Z |
| publishDate | 2013 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Khrabustovskyi, V. 2016-10-04T20:03:06Z 2016-10-04T20:03:06Z 2013 Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner / V. Khrabustovskyi // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 4. — С. 496-535. — Бібліогр.: 37 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106769 For the relations generated by a pair of differential operator expressions one of which depends on the spectral parameter in the Nevanlinna manner we construct the analogs of the generalized resolvents which are integro-differential operators. Для отношений, порожденных парой дифференциальных операторных выражений, одно из которых зависит от спектрального параметра неванлиновским образом, построены аналоги обобщенных резольвент, которые являются интегро-дифференциальными операторами. The author is grateful to Professor F.S. Rofe-Beketov for his great attention to this work. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner Article published earlier |
| spellingShingle | Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner Khrabustovskyi, V. |
| title | Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner |
| title_full | Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner |
| title_fullStr | Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner |
| title_full_unstemmed | Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner |
| title_short | Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner |
| title_sort | analogs of generalized resolvents for relations generated by a pair of differential operator expressions one of which depends on spectral parameter in nonlinear manner |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106769 |
| work_keys_str_mv | AT khrabustovskyiv analogsofgeneralizedresolventsforrelationsgeneratedbyapairofdifferentialoperatorexpressionsoneofwhichdependsonspectralparameterinnonlinearmanner |