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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 192, Pages 74–83
DOI: https://doi.org/10.36535/0233-6723-2021-192-74-83 (Mi into783) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On one linear equation of the Euler type

R. Mustafokulov

Tajik National University, Dushanbe
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DOI: https://doi.org/10.36535/0233-6723-2021-192-74-83
Abstract: In this paper, for an Euler-type linear equation of order $n$, we indicate a change of variable and conditions for the coefficients under which the equation is reduced to an equation with constant coefficients. For a solution of the inhomogeneous equation, we construct an explicit integral representation depending on the roots of the characteristic equation.
Keywords: linear equation of Euler type, model equation, characteristic of equation, fundamental solution, determinant of Vandermonde type.
Document Type: Article
UDC: 517.55
MSC: 34B45, 35L05
Language: Russian
Citation: R. Mustafokulov, “On one linear equation of the Euler type”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 192, VINITI, Moscow, 2021, 74–83
Citation in format AMSBIB
\Bibitem{Mus21}
\by R.~Mustafokulov
\paper On one linear equation of the Euler type
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin
readings – XXX”.
Voronezh, May 3-9, 2019. Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 192
\pages 74--83
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into783}
\crossref{https://doi.org/10.36535/0233-6723-2021-192-74-83}
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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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