STATEMENT AND STUDY OF A BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION OF PARABOLIC-HYPERBOLIC TYPE IN A MIXED PENTAGONAL DOMAIN, WHEN THE SLOPE OF THE CHARACTERISTIC OF THE OPERATOR THE FIRST ORDER IS GREATER THAN ONE

Authors

  • MIRZA MAMAJONOV Associate professor of Kokand State pedagogical institute
  • XILOLA SHERMATOVA Lecturer of Ferghana state university

Keywords:

Boundary value problem, parabolic-hyperbolic type, unique solvability, solution construction methods, continuous derivatives, boundary conditions, gluing conditions.

Abstract

In this paper, we pose and study one boundary value problem for a third-order parabolic-hyperbolic equation of the form   in the pentagonal region, when the characteristic of the operator   more than one. The unique solvability of the problem posed is proved using the method of constructing a solution.

References

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Mamajonov, M., Shermatova, X. M., & Mukaddasov, X. (2014). Постановка и метод решения некоторих краевих задач для одного класса уравнений третего порядка параболо-гиперболического типа. Вестник KRAUNS. Физико-математические науки, (1 (8)), 7-13.

Mamajonov, M., Shermatova, X. M., & Muxtorova, T. N. (2021). Об одной краевой задаче для уравнения параболо-гиперболического типа третего порядка в вогнутой шестиуголной области. ХИИИ Белорусская математическая конференция: материали Международной научной конференции, Минск, 22–25 ноябрь 2021 г.: в 2 ч./сост. ВВ Лепин; Националная академия наук Беларуси, Институт математики, Белорусский государственний университет.–Минск: Беларуская навука, 2021.–Ч. 1.–с..

Mamajonov, M., & Shermatova, X. M. (2017). Об одной краевой задаче для уравнения третего порядка параболо-гиперболического типа в вогнутой шестиуголной области. Вестник KRAUNS. Физико-математические науки, (1 (17), 14-21.

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Published

2022-05-28

How to Cite

MIRZA MAMAJONOV, & XILOLA SHERMATOVA. (2022). STATEMENT AND STUDY OF A BOUNDARY VALUE PROBLEM FOR A THIRD-ORDER EQUATION OF PARABOLIC-HYPERBOLIC TYPE IN A MIXED PENTAGONAL DOMAIN, WHEN THE SLOPE OF THE CHARACTERISTIC OF THE OPERATOR THE FIRST ORDER IS GREATER THAN ONE. INTERNATIONAL JOURNAL OF RESEARCH IN COMMERCE, IT, ENGINEERING AND SOCIAL SCIENCES ISSN: 2349-7793 Impact Factor: 6.876, 16(5), 117–130. Retrieved from https://gejournal.net/index.php/IJRCIESS/article/view/565