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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 4, Pages 3–14
DOI: https://doi.org/10.26907/0021-3446-2022-4-3-14
(Mi ivm9764)
 

This article is cited in 3 scientific papers (total in 3 papers)

Boundary value problem for a fourth-order equation of parabolic-hyperbolic type with multiple characteristics, whose slopes are greater than one

Yu. P. Apakovab, S. M. Mamajanovb

a Namangan Engineering Construction Institute, 12 Islam Karimov str., Namangan, 160103 Uzbekistan
b Institute of Mathematics named after V.I. Romanovsky, 46 University str., Tashkent, 100174 Uzbekistan
Full-text PDF (363 kB) Citations (3)
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Abstract: In this paper, we set and study a boundary value problem for a fourth-order equation of parabolic-hyperbolic type with multiple characteristics, the slope of the first-order operator of which is greater than one, in a pentagonal domain. The unique solvability of the problem is proved by the method of direct composition of the solution.
Keywords: differential and integral equations, solution composition method, continuation method, boundary value problem, parabolic-hyperbolic equation, unique solvability.
Received: 02.07.2021
Revised: 02.07.2021
Accepted: 29.09.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 4, Pages 1–11
DOI: https://doi.org/10.3103/S1066369X22040016
Document Type: Article
UDC: 517.956
Language: Russian
Citation: Yu. P. Apakov, S. M. Mamajanov, “Boundary value problem for a fourth-order equation of parabolic-hyperbolic type with multiple characteristics, whose slopes are greater than one”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 4, 3–14; Russian Math. (Iz. VUZ), 66:4 (2022), 1–11
Citation in format AMSBIB
\Bibitem{ApaMam22}
\by Yu.~P.~Apakov, S.~M.~Mamajanov
\paper Boundary value problem for a fourth-order equation of parabolic-hyperbolic type with multiple characteristics, whose slopes are greater than one
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 4
\pages 3--14
\mathnet{http://mi.mathnet.ru/ivm9764}
\crossref{https://doi.org/10.26907/0021-3446-2022-4-3-14}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 4
\pages 1--11
\crossref{https://doi.org/10.3103/S1066369X22040016}
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    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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