On Mixed Boundary Value Problems for Sets of Partial Differential Equations with Constant Coefficients in Semi-Spaces
- Authors: Pleshchinskaya I.E.1, Pleshchinskii N.B.2
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Affiliations:
- Department of Informatics and Applied Mathematics
- Institute of Computational Mathematics and Information Technologies
- Issue: Vol 39, No 8 (2018)
- Pages: 1090-1098
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202979
- DOI: https://doi.org/10.1134/S1995080218080061
- ID: 202979
Cite item
Abstract
The solvability conditions of the over-determined boundary value problems for the set of PDE with constant coefficients in semi-spaces are obtained. The equations for complex amplitudes of the wave fields are considered as examples. The method of over-determined boundary value problem is used to obtain the boundary integral equation for the mixed boundary value problems.
About the authors
I. E. Pleshchinskaya
Department of Informatics and Applied Mathematics
Author for correspondence.
Email: plant_flower@mail.ru
Russian Federation, ul. Karla Marksa 68, Kazan, 420015
N. B. Pleshchinskii
Institute of Computational Mathematics and Information Technologies
Email: plant_flower@mail.ru
Russian Federation, ul. Kremlevskaya 18, Kazan, 420008