Geodesic
On one linear equation of the Euler type
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 192 (2021), pp. 74-83

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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. 
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     author = {R. Mustafokulov},
     title = {On one linear equation of the {Euler} type},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {74--83},
     publisher = {mathdoc},
     volume = {192},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_192_a7/}
}
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R. Mustafokulov. On one linear equation of the Euler type. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 192 (2021), pp. 74-83. http://geodesic.mathdoc.fr/item/INTO_2021_192_a7/