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General Boundary Value Problem for the Third Order Linear Differential Equation of Composite Type
The boundary value problem is considered for the linear two-dimensional integro-di®erential loaded third order equation of composite type with nonlocal terms in the boundary conditions. The principal part of the equation is a derivative of the two-dimensional Laplace equation with respect to the var...
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| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2012
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/106713 |
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irk-123456789-1067132016-10-04T03:02:20Z General Boundary Value Problem for the Third Order Linear Differential Equation of Composite Type Gharehgheshlaghi, A.D. Aliyev, N. The boundary value problem is considered for the linear two-dimensional integro-di®erential loaded third order equation of composite type with nonlocal terms in the boundary conditions. The principal part of the equation is a derivative of the two-dimensional Laplace equation with respect to the variable x₂. Taking into account the ill-posedness of boundary value problems for hyperbolic di®erential equations, the principal part of the boundary conditions is chosen in a special form dictated by the obtained necessary conditions. Рассмотрена граничная задача для линейного двумерного интегро-дифференциального нагруженного уравнения композитного типа третьего порядка с нелокальными граничными условиями. Основная часть уравнения - производная по переменной от двумерного уравнения Лапласа относительно переменной x₂. Учитывая некорректность граничной задачи для гиперболических уравнений, главная часть граничных условий выбрана в специальной форме, продиктованной полученными необходимыми условиями. 2012 Article General Boundary Value Problem for the Third Order Linear Differential Equation of Composite Type / A.D. Gharehgheshlaghi, N. Aliyev // Журнал математической физики, анализа, геометрии. — 2012. — Т. 8, № 2. — С. 119-134. — Бібліогр.: 24 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106713 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
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English |
| description |
The boundary value problem is considered for the linear two-dimensional integro-di®erential loaded third order equation of composite type with nonlocal terms in the boundary conditions. The principal part of the equation is a derivative of the two-dimensional Laplace equation with respect to the variable x₂. Taking into account the ill-posedness of boundary value problems for hyperbolic di®erential equations, the principal part of the boundary conditions is chosen in a special form dictated by the obtained necessary conditions. |
| format |
Article |
| author |
Gharehgheshlaghi, A.D. Aliyev, N. |
| spellingShingle |
Gharehgheshlaghi, A.D. Aliyev, N. General Boundary Value Problem for the Third Order Linear Differential Equation of Composite Type Журнал математической физики, анализа, геометрии |
| author_facet |
Gharehgheshlaghi, A.D. Aliyev, N. |
| author_sort |
Gharehgheshlaghi, A.D. |
| title |
General Boundary Value Problem for the Third Order Linear Differential Equation of Composite Type |
| title_short |
General Boundary Value Problem for the Third Order Linear Differential Equation of Composite Type |
| title_full |
General Boundary Value Problem for the Third Order Linear Differential Equation of Composite Type |
| title_fullStr |
General Boundary Value Problem for the Third Order Linear Differential Equation of Composite Type |
| title_full_unstemmed |
General Boundary Value Problem for the Third Order Linear Differential Equation of Composite Type |
| title_sort |
general boundary value problem for the third order linear differential equation of composite type |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106713 |
| citation_txt |
General Boundary Value Problem for the Third Order Linear Differential Equation of Composite Type / A.D. Gharehgheshlaghi, N. Aliyev // Журнал математической физики, анализа, геометрии. — 2012. — Т. 8, № 2. — С. 119-134. — Бібліогр.: 24 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT gharehgheshlaghiad generalboundaryvalueproblemforthethirdorderlineardifferentialequationofcompositetype AT aliyevn generalboundaryvalueproblemforthethirdorderlineardifferentialequationofcompositetype |
| first_indexed |
2023-10-18T20:13:32Z |
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2023-10-18T20:13:32Z |
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1796149301502541824 |