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Matematicheskie Zametki, 2012, Volume 92, Issue 1, Pages 74–83
DOI: https://doi.org/10.4213/mzm8899 (Mi mzm8899) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Boundary-Value Problem for a Class of Equations of Mixed Type in an Unbounded Domai

M. Kh. Ruziev

Institute of Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan, Tashkent
Full-text PDF (460 kB) Citations (4) English version article
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DOI: https://doi.org/10.4213/mzm8899
Abstract: In this paper, we study the boundary-value problem for an equation of mixed type with singular coefficient. The uniqueness of the solution of the problem is proved using the extremum principle and the existence of a solution to the problem is established by the method of integral equations.
Keywords: partial differential equation of mixed type, Gellerstedt problem, boundary-value problem, parabolic degeneracy, extremum principle, Cauchy problem, Darboux formula.
Received: 28.12.2009
Revised: 21.05.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 1, Pages 70–78
DOI: https://doi.org/10.1134/S0001434612070097
Bibliographic databases:
Document Type: Article
UDC: 517.956.6
Language: Russian
Citation: M. Kh. Ruziev, “On the Boundary-Value Problem for a Class of Equations of Mixed Type in an Unbounded Domai”, Mat. Zametki, 92:1 (2012), 74–83; Math. Notes, 92:1 (2012), 70–78
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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