Geodesic
On the Dirichlet problem in rectangle area for Lavrentiev--Bitsadze equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2023), pp. 3-10

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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
Mots-clés : existence. 
@article{IVM_2023_5_a0,
     author = {A. A. Abashkin},
     title = {On the {Dirichlet} problem in rectangle area for {Lavrentiev--Bitsadze} equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--10},
     publisher = {mathdoc},
     number = {5},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_5_a0/}
}
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A. A. Abashkin. On the Dirichlet problem in rectangle area for Lavrentiev--Bitsadze equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2023), pp. 3-10. http://geodesic.mathdoc.fr/item/IVM_2023_5_a0/