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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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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