This article is cited in 5 papers

An Operator Formula for the Shift of the Solution of the Cauchy Problem for an abstract Euler–Poisson–Darboux Equation

A. V. Glushak

National Research University "Belgorod State University"

Abstract: We establish an operator formula for the shift of a solution in the case where the summand in the Euler–Poisson–Darboux equation containing the first derivative of the solution is perturbed by a group generator.

Keywords: Euler–Poisson–Darboux equation, abstract Cauchy problem, operator formula for the shift.

UDC: 517.983.23

Received: 29.05.2018
Revised: 28.08.2018

DOI: 10.4213/mzm12077

 English version: Mathematical Notes, 2019, 105:5, 649–656

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