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.
@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/}
}
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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/