On the non-local boundary value problem of a third order hyperbolic equation (Q960315)
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scientific article; zbMATH DE number 5382982
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the non-local boundary value problem of a third order hyperbolic equation |
scientific article; zbMATH DE number 5382982 |
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On the non-local boundary value problem of a third order hyperbolic equation (English)
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17 December 2008
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Summary: We consider a non-local boundary value problem for the linear third order equation with hyperbolic operator in the main part. Sufficient conditions were stated to coefficients of the equation and to given functions in order that this non-local boundary value problem has a unique solution. For the proof, we use the Riemann's method.
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boundary value problems
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Goursat problem
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Riemann's function
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non-local conditions
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pseudo-parabolic equation
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third order hyperbolic equations
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Volterra integral equations
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hyperbolic operators
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