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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 5, Pages 3–10
DOI: https://doi.org/10.26907/0021-3446-2023-5-3-10 (Mi ivm9873) 		 
On the Dirichlet problem in rectangle area for Lavrentiev–Bitsadze equation

A. A. Abashkin

Samara State Technical University, 244 Molodogvardeyskaya str., Samara, 443100 Russia
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DOI: https://doi.org/10.26907/0021-3446-2023-5-3-10
Abstract: We consider Dirichlet problem in rectangle area for Lavrentiev–Bitsadze equation. We find conditions of problem solution existence. This conditions deoends on ratio of hyperbolicity area rectangle sides. Unlike other stydies of similar problems, we recieve problem solution existence solutions for the case then the ratio is irrational number.
Keywords: mixed type equation, spectral method, irrationality measure, small denominator, existence.
Received: 25.09.2022
Revised: 05.01.2023
Accepted: 29.03.2023
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2023, Volume 67, Issue 5, Pages 1–7
DOI: https://doi.org/10.3103/S1066369X23050018
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. A. Abashkin, “On the Dirichlet problem in rectangle area for Lavrentiev–Bitsadze equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 5, 3–10; Russian Math. (Iz. VUZ), 67:5 (2023), 1–7
Citation in format AMSBIB
\Bibitem{Aba23}
\by A.~A.~Abashkin
\paper On the Dirichlet problem in rectangle area for Lavrentiev--Bitsadze equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 5
\pages 3--10
\mathnet{http://mi.mathnet.ru/ivm9873}
\crossref{https://doi.org/10.26907/0021-3446-2023-5-3-10}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2023
\vol 67
\issue 5
\pages 1--7
\crossref{https://doi.org/10.3103/S1066369X23050018}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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