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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 8, Pages 27–41 (Mi ivm9266)  
This article is cited in 23 scientific papers (total in 23 papers)

On a method of solving the Cauchy problem for one-dimensional polywave equation with singular Bessel operator

Sh. T. Karimov

Fergana State University, 19 Murabbiylar str., Fergana, 150100 Republic Uzbekistan
Full-text PDF (244 kB) Citations (23)
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Abstract: We study the Cauchy problem for an equation with singular Bessel operator. Unlike traditional methods to solve this problem, we apply Erdélyi–Kober fractional operator and find an explicit formula for the sought-for solution. We prove that the resulting formula is a unique classical solution to the problem.
Keywords: Cauchy problem, polywave equation, singular Bessel operator, Erdélyi–Kober operator.
Received: 29.03.2016
Revised: 14.06.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 8, Pages 22–35
DOI: https://doi.org/10.3103/S1066369X17080035
Bibliographic databases:
Document Type: Article
UDC: 517.955
Language: Russian
Citation: Sh. T. Karimov, “On a method of solving the Cauchy problem for one-dimensional polywave equation with singular Bessel operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 8, 27–41; Russian Math. (Iz. VUZ), 61:8 (2017), 22–35
Citation in format AMSBIB
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\by Sh.~T.~Karimov
\paper On a method of solving the Cauchy problem for one-dimensional polywave equation with singular Bessel operator
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2017
\issue 8
\pages 27--41
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\jour Russian Math. (Iz. VUZ)
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\vol 61
\issue 8
\pages 22--35
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    • This publication is cited in the following 23 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:63
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