Adyghe Int. Sci. J. Vol. 22, No 2. P. 29-33. ISSN 1726-9946

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DOI: https://doi.org/10.47928/1726-9946-2022-22-2-29-33

MATHEMATICS

MSC 35L25

Original Article

About one mixed problem for the inhomogeneous Hallaire equation

Ruzanna Khasanbievna Makaova
Junior Researcher of department Mixed type equations of Institute of Applied Mathematics and Automation of KBSC RAS (360017, 89 А Shortanova St., Nalchik, Russia), ORCID: https://orcid.org/ 0000-0003-4095-2332, makaova.ruzanna@mail.ru

Abstract. For the inhomogeneous Hallaire equation, a mixed boundary value problem is studied. The existence and uniqueness theorem for a regular solution is proved. An explicit form of the regular solution of the problem under study is written out.

Keywords: inhomogeneous Hallaire equation, mixed problem, regular solution, Fourier method

Acknowledgments: the author are thankful to the anonymous reviewer for his valuable remakes.

For citation. R. Kh. Makaova About one mixed problem for the inhomogeneous Hallaire equation. Adyghe Int. Sci. J. 2022. Vol. 22, No. 2. P. 29–33. DOI: https://doi.org/10.47928/1726-9946-2022-22-2-29-33

The author has read and approved the final version of the manuscript.
Submitted 24.06.2022; approved after reviewing 28.06.2022; accepted for publication 04.07.2022.

© Makaova R. Kh., 2022

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