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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 1, Pages 72–82 (Mi ivm8422)  
This article is cited in 5 scientific papers (total in 5 papers)

Problems with shifts for mixed elliptic-hyperbolic equations

M. Kh. Ruziev

Department of Differential Equations, Institute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Tashkent, Republic of Uzbekistan
Full-text PDF (208 kB) Citations (5)
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Abstract: In this paper we study a problem with a shift, where some characteristics are free from boundary conditions; the absent V. I. Zhegalov and A. M. Nakhushev conditions are replaced with an analog of F. Frankl condition on a segment of the degeneration line. We prove the unique solvability of the mentioned problem with the help of the extremum principle. The proof of the solvability is based on the theory of singular integral equations, Wiener–Hopf equations and Fredholm integral equations.
Keywords: principle of extremum, unique solvability, solvability, singular coefficient, integral equations, index of equation.
Received: 28.12.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 1, Pages 66–75
DOI: https://doi.org/10.3103/S1066369X12010100
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: M. Kh. Ruziev, “Problems with shifts for mixed elliptic-hyperbolic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 1, 72–82; Russian Math. (Iz. VUZ), 56:1 (2012), 66–75
Citation in format AMSBIB
\Bibitem{Ruz12}
\by M.~Kh.~Ruziev
\paper Problems with shifts for mixed elliptic-hyperbolic equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 1
\pages 72--82
\mathnet{http://mi.mathnet.ru/ivm8422}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2975921}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 1
\pages 66--75
\crossref{https://doi.org/10.3103/S1066369X12010100}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862702717}
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    • This publication is cited in the following 5 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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