| Article |
|---|
| Article name |
On Effective Solution of Mixed Boundary Value Problems on the Plane for Laplace’s Equation |
| Authors |
Potekho A.O.Сandidate of Physics and Mathematics, Associate Professor potehoao@rambler.ru |
| Bibliographic description |
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| Section |
|
| DOI |
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| UDK |
517.956 |
| Article type |
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| Annotation |
The paper considers boundary value problems in a quadrant and a half-plane with integral
boundary in the form of rays on which different boundary conditions are specified, including
the heterogeneous condition of the third kind. Using the method of convolution of Fourier
expansions, problem solutions are expressed in terms of the classical solution of the Dirichlet
problem in the half plane.
|
| Key words |
mixed boundary value problems, inhomogeneous boundary condition of the
third kind, method of convolution of Fourier expansions. |
| Article information |
|
| References |
1. Tikhonov A. N., Samarsky A. A. Uravneniya matematicheskoy fiziki. M.: Nauka, 1972.
735 s.
2. Arsenin V. Ya. Metody matematicheskoy fiziki i spetsialnye funktsii. M.: Nauk, 1974.
431 s.
3. Kholodovsy S. Ye. Metod svyortyvaniya razlozheny Furye. Sluchay obobshchyonnykh
uslovy sopryazheniya treshchin (zavesy) v kusochno-neodnorodnykh sredakh //
Differentsialnye uravneniya. 2009. T. 45. № 6. S. 855–859.
4. Kholodovsy S. Ye. Metod svyortyvaniya razlozheny Furye. Sluchay treshchin (zavesy)
v neodnorodnom prostranstve // Differentsialnye uravneniya. 2009. T. 45. № 8. S. 1204–1208. |
| Full article | On Effective Solution of Mixed Boundary Value Problems on the Plane for Laplace’s Equation |
