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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 6, Pages 27–35 (Mi ivm9120)  
This article is cited in 19 scientific papers (total in 19 papers)

Abstract Euler–Poisson–Darboux equation with nonlocal condition

A. V. Glushak

Belgorod State National Research University, 15 Pobedy str., Belgorod, 308015 Russia
Full-text PDF (186 kB) Citations (19)
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Abstract: We find conditions for the unique solvability of nonlocal problems for abstract differential equation of the Euler–Poisson–Darboux equation. Nonlocal conditions contain either Erdelyi–Kober operator or Riemann–Liouville fractional integration operator.
Keywords: nonlocal condition, unique solvability, Euler–Poisson–Darboux equation, Erdelyi–Kober operator, Riemann–Liouville operator.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00197 A-2016
Received: 09.10.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 6, Pages 21–28
DOI: https://doi.org/10.3103/S1066369X16060037
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: A. V. Glushak, “Abstract Euler–Poisson–Darboux equation with nonlocal condition”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 6, 27–35; Russian Math. (Iz. VUZ), 60:6 (2016), 21–28
Citation in format AMSBIB
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\pages 27--35
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\issue 6
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:65
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