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...
Збережено в:
| Дата: | 2006 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106674 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106674 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1066742016-10-03T03:02:10Z On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis Aliev, A.R. 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. 2006 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/106674 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Aliev, A.R. |
| spellingShingle |
Aliev, A.R. On the Solvability of a Class of Operator Differential Equations of the Second Order on the Real Axis Журнал математической физики, анализа, геометрии |
| author_facet |
Aliev, A.R. |
| author_sort |
Aliev, A.R. |
| title |
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_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_sort |
on the solvability of a class of operator differential equations of the second order on the real axis |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106674 |
| 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. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT alievar onthesolvabilityofaclassofoperatordifferentialequationsofthesecondorderontherealaxis |
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2023-10-18T20:13:27Z |
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2023-10-18T20:13:27Z |
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1796149298452234240 |