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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 195, Pages 35–43 (Mi into830)
This article is cited in 2 papers

Macdonald operator function and the incomplete Cauchy problem for the Euler–Poisson–Darboux equation

A. V. Glushak

National Research University "Belgorod State University"

Abstract: 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, Euler - Poisson - Darboux equation, incomplete Cauchy problem, unique solvability.

UDC: 517.983.23

MSC: 34G10

DOI: 10.36535/0233-6723-2021-195-35-43


© Steklov Math. Inst. of RAS, 2025