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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
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.
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
Linking options:
https://www.mathnet.ru/eng/into783 https://www.mathnet.ru/eng/into/v192/p74
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Abstract page: | 82 | Full-text PDF : | 50 | References: | 8 |
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