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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 7, Pages 63–71 (Mi ivm8912)  
This article is cited in 11 scientific papers (total in 11 papers)

On the Dirichlet problem for hyperbolic equations of the third order

O. S. Zikirov

Chair of Differential Equations, M. Ulugbek National University of Uzbekistan, 4 Universitetskaya str., Tashkent, 100174 Republic of Uzbekistan
Full-text PDF (193 kB) Citations (11)
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Abstract: We consider the Dirichlet problem for linear hyperbolic equations of the third order. We prove the existence and uniqueness of classical solution with the use of an energy inequality and Riemann's method. We reveal the effect of influence of coefficients at minor derivatives on the well-posedness of the Dirichlet problem.
Keywords: hyperbolic equation, boundary-value problem, Dirichlet problem, Goursat problem, Riemann's function, Fredholm and Volterra equations.
Received: 07.01.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 58, Issue 7, Pages 53–60
DOI: https://doi.org/10.3103/S1066369X14070068
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: O. S. Zikirov, “On the Dirichlet problem for hyperbolic equations of the third order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 7, 63–71; Russian Math. (Iz. VUZ), 58:7 (2013), 53–60
Citation in format AMSBIB
\Bibitem{Zik14}
\by O.~S.~Zikirov
\paper On the Dirichlet problem for hyperbolic equations of the third order
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 7
\pages 63--71
\mathnet{http://mi.mathnet.ru/ivm8912}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 58
\issue 7
\pages 53--60
\crossref{https://doi.org/10.3103/S1066369X14070068}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84903707647}
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    • This publication is cited in the following 11 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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    References:51
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