An Operator Formula for the Shift of the Solution of the Cauchy Problem for an abstract Euler--Poisson--Darboux Equation
Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 656-665
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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.
Mots-clés :
Euler–Poisson–Darboux equation
Keywords: abstract Cauchy problem, operator formula for the shift.
Keywords: abstract Cauchy problem, operator formula for the shift.
@article{MZM_2019_105_5_a1,
author = {A. V. Glushak},
title = {An {Operator} {Formula} for the {Shift} of the {Solution} of the {Cauchy} {Problem} for an abstract {Euler--Poisson--Darboux} {Equation}},
journal = {Matemati\v{c}eskie zametki},
pages = {656--665},
publisher = {mathdoc},
volume = {105},
number = {5},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a1/}
}
TY - JOUR AU - A. V. Glushak TI - An Operator Formula for the Shift of the Solution of the Cauchy Problem for an abstract Euler--Poisson--Darboux Equation JO - Matematičeskie zametki PY - 2019 SP - 656 EP - 665 VL - 105 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a1/ LA - ru ID - MZM_2019_105_5_a1 ER -
%0 Journal Article %A A. V. Glushak %T An Operator Formula for the Shift of the Solution of the Cauchy Problem for an abstract Euler--Poisson--Darboux Equation %J Matematičeskie zametki %D 2019 %P 656-665 %V 105 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a1/ %G ru %F MZM_2019_105_5_a1
A. V. Glushak. An Operator Formula for the Shift of the Solution of the Cauchy Problem for an abstract Euler--Poisson--Darboux Equation. Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 656-665. http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a1/