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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 6, Pages 1234–1248
DOI: https://doi.org/10.17377/smzh.2015.56.603 (Mi smj2709) 		 
This article is cited in 34 scientific papers (total in 34 papers)

On one homogeneous problem for the heat equation in an infinite angular domain

M. M. Amangalieva, M. T. Dzhenaliev, M. T. Kosmakova, M. I. Ramazanov

Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Full-text PDF (293 kB) Citations (34)
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DOI: https://doi.org/10.17377/smzh.2015.56.603
Abstract: We prove that the operator of a boundary value problem of heat conduction in an infinite angular domain is Noetherian with index $-1$ in the class of growing functions.
Keywords: heat conduction, Volterra equation, Abel equation, index.
Received: 22.12.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 6, Pages 982–995
DOI: https://doi.org/10.1134/S0037446615060038
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: M. M. Amangalieva, M. T. Dzhenaliev, M. T. Kosmakova, M. I. Ramazanov, “On one homogeneous problem for the heat equation in an infinite angular domain”, Sibirsk. Mat. Zh., 56:6 (2015), 1234–1248; Siberian Math. J., 56:6 (2015), 982–995
Citation in format AMSBIB
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    • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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