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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 11, Pages 41–49 (Mi ivm7149)  
This article is cited in 9 scientific papers (total in 9 papers)

A nonlocal problem for a mixed-type equation with a singular coefficient in an unbounded domain

M. Kh. Ruziev

Depatrment of Differential Equations, Institute of Mathematics and Information Technologies, Academy of Sciences of Republic of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (197 kB) Citations (9)
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Abstract: In this paper we study a nonlocal problem for a mixed-type equation in a domain whose elliptic part is the first quadrant of the plane and the hyperbolic part is the characteristic triangle. With the help of the method of integral equations and the principle of extremum we prove the unique solvability of the considered problem.
Keywords: principle of extremum, unique solvability, existence of a solution, singular coefficient.
Received: 20.03.2009
Revised: 26.06.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 11, Pages 36–43
DOI: https://doi.org/10.3103/S1066369X10110046
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: M. Kh. Ruziev, “A nonlocal problem for a mixed-type equation with a singular coefficient in an unbounded domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 11, 41–49; Russian Math. (Iz. VUZ), 54:11 (2010), 36–43
Citation in format AMSBIB
\Bibitem{Ruz10}
\by M.~Kh.~Ruziev
\paper A nonlocal problem for a~mixed-type equation with a~singular coefficient in an unbounded domain
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 11
\pages 41--49
\mathnet{http://mi.mathnet.ru/ivm7149}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814563}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 11
\pages 36--43
\crossref{https://doi.org/10.3103/S1066369X10110046}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649583445}
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    • This publication is cited in the following 9 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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