Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 210, Pages 24–34
DOI: https://doi.org/10.36535/0233-6723-2022-210-24-34
(Mi into1012)
 

On the solvability of a boundary-value problem for a third-order differential equation with multiple characteristics

Yu. P. Apakovab, T. K. Yuldashevc, A. Kh. Zhuraeva

a Namangan Engineering – Building Institute
b Namangan Department, Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan
c National University of Uzbekistan named after M. Ulugbek, Tashkent
References:
Abstract: In this paper, we discuss the unique solvability of a boundary-value problem for an inhomogeneous third-order partial differential equation with multiple characteristics. Using the Green function, we is construct a solution of this boundary-value problem in the explicit form.
Keywords: partial differential equation, third-order equation, equation with multiple characteristics, unique solvability, boundary-value problem.
Document Type: Article
UDC: 517.953.5
MSC: 35G15
Language: Russian
Citation: Yu. P. Apakov, T. K. Yuldashev, A. Kh. Zhuraev, “On the solvability of a boundary-value problem for a third-order differential equation with multiple characteristics”, Geometry, Mechanics, and Differential Equations, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 210, VINITI, Moscow, 2022, 24–34
Citation in format AMSBIB
\Bibitem{ApaYulZhu22}
\by Yu.~P.~Apakov, T.~K.~Yuldashev, A.~Kh.~Zhuraev
\paper On the solvability of a boundary-value problem for a third-order differential equation with multiple characteristics
\inbook Geometry, Mechanics, and Differential Equations
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 210
\pages 24--34
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1012}
\crossref{https://doi.org/10.36535/0233-6723-2022-210-24-34}
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    Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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