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Статья
2017

A. A. Dezin’s problem for inhomogeneous Lavrent’ev–Bitsadze equation


K. B. SabitovK. B. Sabitov, V. A. GushchinaV. A. Gushchina
Русская математика
https://doi.org/10.3103/S1066369X17030045
Abstract / Full Text

We establish a uniqueness criterion for solution of nonlocal Dezin’s problem for an equation of mixed elliptic-hyperbolic type. The solution is constructed as a sum of a series in eigenfunctions of the corresponding one-dimensional spectral problem. In the proof of its convergence there arises a problem on small denominators arises. Under certain restrictions on the given parameters and functions we prove the convergence of constructed series in the class of regular solutions.

Author information
  • Samara State University of Social Sciences and Education, ul. Gor’kogo 65/67, Samara, 443090, RussiaK. B. Sabitov & V. A. Gushchina
References
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