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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 8, Pages 43–52 (Mi ivm8730)  
This article is cited in 3 scientific papers (total in 3 papers)

A problem with the Frankl and Bitsadze–Samarskii condition on the line of degeneracy and on parallel characteristics for a mixed-type equation

M. Kh. Ruziev

Department of Differential Equations, Institute of Mathematics and Information Technologies, National Academy of Sciences of Republic of Uzbekistan, Tashkent, Republic of Uzbekistan
Full-text PDF (207 kB) Citations (3)
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Abstract: In this paper we study a boundary-value problem with the Frankl and Bitsadze–Samarskii condition on the line of degeneracy and on parallel characteristics for a mixed-type equation with a singular coefficient. We prove the existence of a solution by the method of integral equations, and we do its uniqueness with the help of the extremum principle.
Keywords: extremum principle, unique solvability, existence of solution, integral equations.
Received: 31.03.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 8, Pages 35–43
DOI: https://doi.org/10.3103/S1066369X12080051
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: M. Kh. Ruziev, “A problem with the Frankl and Bitsadze–Samarskii condition on the line of degeneracy and on parallel characteristics for a mixed-type equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 8, 43–52; Russian Math. (Iz. VUZ), 56:8 (2012), 35–43
Citation in format AMSBIB
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\by M.~Kh.~Ruziev
\paper A problem with the Frankl and Bitsadze--Samarskii condition on the line of degeneracy and on parallel characteristics for a~mixed-type equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 8
\pages 43--52
\mathnet{http://mi.mathnet.ru/ivm8730}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3077486}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 8
\pages 35--43
\crossref{https://doi.org/10.3103/S1066369X12080051}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866244927}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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