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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 8, Pages 70–72 (Mi ivm1681)  

This article is cited in 9 scientific papers (total in 9 papers)

Brief communications

A problem with normal derivatives in the boundary conditions for a system of differential equations

V. I. Zhegalov

Kazan State University
Full-text PDF (146 kB) Citations (9)
References:
Abstract: We seek for a solution to a system of differential equations, using linear relations connecting normal derivatives of the desired functions at the domain boundary.
Keywords: hyperbolic systems, boundary value problems, solvability conditions.
Received: 09.06.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 8, Pages 58–60
DOI: https://doi.org/10.3103/S1066369X08080070
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: V. I. Zhegalov, “A problem with normal derivatives in the boundary conditions for a system of differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 8, 70–72; Russian Math. (Iz. VUZ), 52:8 (2008), 58–60
Citation in format AMSBIB
\Bibitem{Zhe08}
\by V.~I.~Zhegalov
\paper A problem with normal derivatives in the boundary conditions for a system of differential equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 8
\pages 70--72
\mathnet{http://mi.mathnet.ru/ivm1681}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2468316}
\zmath{https://zbmath.org/?q=an:1176.35115}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 8
\pages 58--60
\crossref{https://doi.org/10.3103/S1066369X08080070}
Linking options:
  • https://www.mathnet.ru/eng/ivm1681
  • https://www.mathnet.ru/eng/ivm/y2008/i8/p70
  • This publication is cited in the following 9 articles:
    1. A. N. Mironov, E. F. Koskova, “O zadache s usloviyami na kharakteristikakh i svobodnoi poverkhnosti dlya giperbolicheskoi sistemy uravnenii s tremya nezavisimymi peremennymi s dvukratnymi kharakteristikami”, Izv. vuzov. Matem., 2025, no. 1, 28–36  mathnet  crossref
    2. E. A. Sozontova, “Usloviya suschestvovaniya i edinstvennosti resheniya zadachi Gursa dlya sistemy uravnenii s dominiruyuschimi chastnymi proizvodnymi”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 27:2 (2023), 375–383  mathnet  crossref
    3. A. N. Mironov, A. P. Volkov, “On the Darboux problem for a hyperbolic system of equations with multiple characteristics”, Russian Math. (Iz. VUZ), 66:8 (2022), 31–36  mathnet  crossref  crossref
    4. Mironov A.N. Mironova L.B., “Riemann-Hadamard Method For One System in Three-Dimensional Space”, Differ. Equ., 57:8 (2021), 1034–1041  crossref  mathscinet  isi  scopus
    5. Mironov A.N., “On Boundary Value Problems With Normal High-Order Derivatives on Characteristics”, AIP Conference Proceedings, 2328, ed. Grigorev Y. Popov S. Sharin E., Amer Inst Physics, 2021, 020007  crossref  isi  scopus
    6. L. B. Mironova, “Application of Riemann method to one system in three-dimensional space”, Russian Math. (Iz. VUZ), 63:6 (2019), 42–50  mathnet  crossref  crossref  isi
    7. L. B. Mironova, “On class of integral equations with partial integrals and its applications”, Ufa Math. J., 11:3 (2019), 61–77  mathnet  crossref  isi
    8. E. A. Sozontova, “Characteristic problems with normal derivatives for hyperbolic systems”, Russian Math. (Iz. VUZ), 57:10 (2013), 37–47  mathnet  crossref
    9. E. A. Sozontova, “O kharakteristicheskikh zadachakh dlya odnoi sistemy giperbolicheskogo tipa v trekhmernom prostranstve”, Vestn. SamGU. Estestvennonauchn. ser., 2013, no. 6(107), 74–84  mathnet
    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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