DIRICHLET PROBLEM FOR LOADED DEGENERATING EQUATION OF THE MIXED TYPE IN THE RECTANGULAR AREA



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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.

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E.P. Melisheva

Samara State Academy of Social Sciences and Humanities

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Email: morenov.sv@ssau.ru

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Copyright (c) 2013 Melisheva E.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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