Adyghe Int. Sci. J. Vol. 23, No 4. P. 54-61.
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DOI: https://doi.org/10.47928/1726-9946-2023-23-4-54-61
EDN: IVFCEX
MATHEMATICS
| MSC 34A08, 34B05 | Original Article |
Analogue of Tricomi problem for one characteristically loaded hyperbolic-parabolic equation
Khubiev Kazbek Uzeirovich
Ph.D. in physics and mathematics, senior Researcher of Department of Mixed Type Equations, Institute of Applied Mathematics and Automation of KBSC RAS, (360017, 89 А Shortanova St., Nalchik, Russia), https://orcid.org/0000-0001-7612-8850, khubiev_math@mail.ru
Abstract. In this paper considers an analogue of the Trikomi problem for one characteristically loaded model equation of the mixed hyperbolo-parabolic type of the second order. The loaded term in the domain of the hyperbolic function is the derivative of the desired function trace on characteristics of the equation of the same order as the equation itself. Sufficient conditions on the coefficients are found for a unique solution.
Keywords: loaded equation, mixed type equation, hyperbolic-parabolic equation, Tricomi problem, boundary value problem.
Acknowledgments: the author are thankful to the anonymous reviewer for his valuable remakes.
For citation. Khubiev K. U. Analogue of Tricomi problem for one characteristically loaded hyperbolicparabolic equation. Adyghe Int. Sci. J. 2023. Vol. 23, No. 4. P. 54–61. DOI: https://doi.org/10.47928/1726-9946-2023-23-4-54-61; EDN: IVFCEX
The author has read and approved the final version of the manuscript.
Submitted 18.12.2023; approved after reviewing 20.12.2023; aeeepted for publication 21.12.2023.
© Khubiev K. U., 2023
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