On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis
Solvability of the operator differential equation of the second order with variable coe cients on the real axis in a certain weight space is studied. The main part of the equation is an abstract elliptic equation in Hilbert space. We note that sufficient conditions on operator coeffiients of the per...
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2006 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106674 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis / A.R. Aliev // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 347-357. — Бібліогр.: 5 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862547431678279680 |
|---|---|
| author | Aliev, A.R. |
| author_facet | Aliev, A.R. |
| citation_txt | On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis / A.R. Aliev // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 347-357. — Бібліогр.: 5 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | Solvability of the operator differential equation of the second order with variable coe cients on the real axis in a certain weight space is studied. The main part of the equation is an abstract elliptic equation in Hilbert space. We note that sufficient conditions on operator coeffiients of the perturbed part, preserving ellipticity of the equation, are found in the paper, and estimations of the norms of intermediate derivative operators via the main part of the operator differential equation in a certain weight space are also obtained.
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| first_indexed | 2025-11-25T15:34:09Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106674 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-25T15:34:09Z |
| publishDate | 2006 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Aliev, A.R. 2016-10-02T18:26:58Z 2016-10-02T18:26:58Z 2006 On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis / A.R. Aliev // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 347-357. — Бібліогр.: 5 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106674 Solvability of the operator differential equation of the second order with variable coe cients on the real axis in a certain weight space is studied. The main part of the equation is an abstract elliptic equation in Hilbert space. We note that sufficient conditions on operator coeffiients of the perturbed part, preserving ellipticity of the equation, are found in the paper, and estimations of the norms of intermediate derivative operators via the main part of the operator differential equation in a certain weight space are also obtained. The Author is thankful to Acad. of NAS of Azerbaijan M.G. Gasimov and Prof. S.S. Mirzoyev for discussion of the paper. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis Article published earlier |
| spellingShingle | On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis Aliev, A.R. |
| title | On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis |
| title_full | On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis |
| title_fullStr | On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis |
| title_full_unstemmed | On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis |
| title_short | On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis |
| title_sort | on the solvability of a class of operator differential equations of the second order on the real axis |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106674 |
| work_keys_str_mv | AT alievar onthesolvabilityofaclassofoperatordifferentialequationsofthesecondorderontherealaxis |