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DIRICHLET PROBLEM FOR LOADED DEGENERATING EQUATION OF THE MIXED TYPE IN THE RECTANGULAR AREA
- Authors: Melisheva E.1
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Affiliations:
- Samara State Academy of Social Sciences and Humanities
- Issue: Vol 19, No 6 (2013)
- Pages: 40-53
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4659
- DOI: https://doi.org/10.18287/2541-7525-2013-19-6-40-53
- ID: 4659
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Abstract
In this work necessary and sufficient conditions for uniqueness of a solution to the first boundary problem for Lavrentiev-Bitsadze equation in rectangular domain are established. The solution to the problem is constructed as a sum of series with respect of eigenfunctions of a corresponding one-dimensional Stour-m-Liouviele problem. The stability is shown.
About the authors
E.P. Melisheva
Samara State Academy of Social Sciences and Humanities
Author for correspondence.
Email: morenov.sv@ssau.ru
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