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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 144, Pages 30–38 (Mi into269)  
This article is cited in 1 scientific paper (total in 1 paper)

Solvability of a Mixed Problem with an Integral Condition for a Third-Order Hyperbolic Equation

O. S. Zikirova, D. K. Kholikovb

a National University of Uzbekistan named after M. Ulugbek, Tashkent
b Tashkent Institute of Architecture and Civil Engineering
Full-text PDF (177 kB) Citations (1)
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Abstract: In the paper, we examine the solvability of a mixed problem with an integral condition for a third-order equation whose principal part contains the wave operator. The existence and uniqueness of a classical solution to this problem are proved by the Riemann method.
Keywords: Riemann function, Goursat problem, nonlocal condition, hyperbolic equation, integral equation, solvability condition.
English version:
Journal of Mathematical Sciences, 2020, Volume 245, Issue 3, Pages 323–331
DOI: https://doi.org/10.1007/s10958-020-04693-5
Bibliographic databases:
Document Type: Article
UDC: 517.956.32
MSC: 35K25, 35K70, 35R35
Language: Russian
Citation: O. S. Zikirov, D. K. Kholikov, “Solvability of a Mixed Problem with an Integral Condition for a Third-Order Hyperbolic Equation”, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 144, VINITI, M., 2018, 30–38; Journal of Mathematical Sciences, 245:3 (2020), 323–331
Citation in format AMSBIB
\Bibitem{ZikKho18}
\by O.~S.~Zikirov, D.~K.~Kholikov
\paper Solvability of a Mixed Problem with an Integral Condition
for a Third-Order Hyperbolic Equation
\inbook Proceedings of the International Conference «Problems of Modern Topology and its Applications»
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 144
\pages 30--38
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into269}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3829868}
\zmath{https://zbmath.org/?q=an:1448.35327}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 245
\issue 3
\pages 323--331
\crossref{https://doi.org/10.1007/s10958-020-04693-5}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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