Macdonald operator function and the incomplete Cauchy problem for the Euler--Poisson--Darboux equation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Tome 195 (2021), pp. 35-43.

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In this paper, we introduce a family of Macdonald operator functions and examine the solvability of the incomplete Cauchy problem for the Euler–Poisson–Darboux equation.
Keywords: semigroup, Macdonald operator function, incomplete Cauchy problem, unique solvability.
Mots-clés : Euler - Poisson - Darboux equation
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A. V. Glushak. Macdonald operator function and the incomplete Cauchy problem for the Euler--Poisson--Darboux equation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Tome 195 (2021), pp. 35-43. http://geodesic.mathdoc.fr/item/INTO_2021_195_a3/

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