Inverse Wave Spectral Problem with Discontinuous Wave Speed
The inverse problem for the Sturm{Liouville operator with complex pe- riodic potential and positive discontinuous coe±cients on the axis is studied. The main characteristics of the fundamental solutions and the spectrum of the operator are studied. The formulation of the inverse problem and a constr...
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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2010 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106643 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Inverse Wave Spectral Problem with Discontinuous Wave Speed / R.F. Efendiev, H.D. Orudzhev // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 3. — С. 255-265. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862668408699486208 |
|---|---|
| author | Efendiev, R.F. Orudzhev, H.D. |
| author_facet | Efendiev, R.F. Orudzhev, H.D. |
| citation_txt | Inverse Wave Spectral Problem with Discontinuous Wave Speed / R.F. Efendiev, H.D. Orudzhev // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 3. — С. 255-265. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | The inverse problem for the Sturm{Liouville operator with complex pe- riodic potential and positive discontinuous coe±cients on the axis is studied. The main characteristics of the fundamental solutions and the spectrum of the operator are studied. The formulation of the inverse problem and a constructive procedure for its solution are given. The uniqueness theorem of the inverse problem is proven.
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| first_indexed | 2025-12-07T15:24:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106643 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T15:24:53Z |
| publishDate | 2010 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Efendiev, R.F. Orudzhev, H.D. 2016-10-01T16:43:00Z 2016-10-01T16:43:00Z 2010 Inverse Wave Spectral Problem with Discontinuous Wave Speed / R.F. Efendiev, H.D. Orudzhev // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 3. — С. 255-265. — Бібліогр.: 14 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106643 The inverse problem for the Sturm{Liouville operator with complex pe- riodic potential and positive discontinuous coe±cients on the axis is studied. The main characteristics of the fundamental solutions and the spectrum of the operator are studied. The formulation of the inverse problem and a constructive procedure for its solution are given. The uniqueness theorem of the inverse problem is proven. The paper was finished during the time R.F. Efendiev visited Universite de Nantes as an invited professor. The author wishes to thank Prof. A. Nachaoui and Prof. A. Boulkhemair from Nantes University for discussing the paper as well as the administration of University for invitation and Laboratoire de Mathematiques Jean Leray for kind and warm hospitality. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Inverse Wave Spectral Problem with Discontinuous Wave Speed Article published earlier |
| spellingShingle | Inverse Wave Spectral Problem with Discontinuous Wave Speed Efendiev, R.F. Orudzhev, H.D. |
| title | Inverse Wave Spectral Problem with Discontinuous Wave Speed |
| title_full | Inverse Wave Spectral Problem with Discontinuous Wave Speed |
| title_fullStr | Inverse Wave Spectral Problem with Discontinuous Wave Speed |
| title_full_unstemmed | Inverse Wave Spectral Problem with Discontinuous Wave Speed |
| title_short | Inverse Wave Spectral Problem with Discontinuous Wave Speed |
| title_sort | inverse wave spectral problem with discontinuous wave speed |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106643 |
| work_keys_str_mv | AT efendievrf inversewavespectralproblemwithdiscontinuouswavespeed AT orudzhevhd inversewavespectralproblemwithdiscontinuouswavespeed |