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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 6, Pages 43–52 (Mi ivm9009)  
This article is cited in 8 scientific papers (total in 8 papers)

Nonlocal boundary-value problem with Bitsadze–Samarskii condition for equation of parabolic-hyperbolic type of the second kind

M. S. Salakhitdinova, N. B. Islamovb

a Chair of Differential Equations, National University of Uzbekistan, Vuzgorodok, Tashkent, 100174 Republic of Uzbekistan
b Chair of Higher Mathematics, Tashkent State Economic University, 49 Uzbekistan str., Tashkent, 100003 Republic of Uzbekistan
Full-text PDF (202 kB) Citations (8)
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Abstract: We prove the unique solability of nonlocal boundary-value problem for a degenerate parabolic-hyperbolic equation of the second kind in the case when on the first part of a characteristic a nonlocal boundary condition is specified, while on parallel characteristic the Bitsadze–Samarskii condition is specified.
Keywords: degenerate parabolic-hyperbolic equation, nonlocal boundary-value problem, equation of the second kind, Bitsadze–Samarskii condition, uniqueness and existence of a solution, extremum principle, Fredholm integral equation.
Received: 03.02.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 6, Pages 34–42
DOI: https://doi.org/10.3103/S1066369X15060067
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: M. S. Salakhitdinov, N. B. Islamov, “Nonlocal boundary-value problem with Bitsadze–Samarskii condition for equation of parabolic-hyperbolic type of the second kind”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 6, 43–52; Russian Math. (Iz. VUZ), 59:6 (2015), 34–42
Citation in format AMSBIB
\Bibitem{SalIsl15}
\by M.~S.~Salakhitdinov, N.~B.~Islamov
\paper Nonlocal boundary-value problem with Bitsadze--Samarskii condition for equation of parabolic-hyperbolic type of the second kind
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 6
\pages 43--52
\mathnet{http://mi.mathnet.ru/ivm9009}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 6
\pages 34--42
\crossref{https://doi.org/10.3103/S1066369X15060067}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84938274773}
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    • This publication is cited in the following 8 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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