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Matematicheskie Zametki, 2019, Volume 105, Issue 5, Pages 656–665
DOI: https://doi.org/10.4213/mzm12077 (Mi mzm12077) 		 
This article is cited in 5 scientific papers (total 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"
Full-text PDF (446 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm12077
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.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00732
This work was supported by the Russian Foundation for Basic Research under grant 19-01-00732.
Received: 29.05.2018
Revised: 28.08.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 5, Pages 649–656
DOI: https://doi.org/10.1134/S000143461905002X
Bibliographic databases:
Document Type: Article
UDC: 517.983.23
Language: Russian
Citation: A. V. Glushak, “An Operator Formula for the Shift of the Solution of the Cauchy Problem for an abstract Euler–Poisson–Darboux Equation”, Mat. Zametki, 105:5 (2019), 656–665; Math. Notes, 105:5 (2019), 649–656
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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