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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 1(30), Pages 15–23
DOI: https://doi.org/10.14498/vsgtu1218
(Mi vsgtu1218)
 

This article is cited in 4 scientific papers (total in 4 papers)

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics

The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics

A. A. Alikhanov

Kabardino-Balkarian State University, Nalchik, 360004, Russia
Full-text PDF (162 kB) Citations (4)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics is studied. A priori estimates for the solutions of the considered problems are obtained by using the method of energy inequalities. Uniqueness and continuous dependence of the solutions on the input data follow from these estimates.
Keywords: nonlocal boundary value problem, equations of mathematical physics, a priori estimates for solutions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.6197.2011
Original article submitted 28/XII/2012
revision submitted – 12/II/2013
Bibliographic databases:
Document Type: Article
UDC: 517.954
MSC: Primary 34B10; Secondary 35K55, 35L70, 35J60
Language: Russian
Citation: A. A. Alikhanov, “The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 15–23
Citation in format AMSBIB
\Bibitem{Ali13}
\by A.~A.~Alikhanov
\paper The Steklov nonlocal boundary value problem of the second kind for the simplest equations of mathematical physics
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 15--23
\mathnet{http://mi.mathnet.ru/vsgtu1218}
\crossref{https://doi.org/10.14498/vsgtu1218}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2013VSGTU..30...15A}
\elib{https://elibrary.ru/item.asp?id=19117425}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu1218
  • https://www.mathnet.ru/eng/vsgtu/v130/p15
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Statistics & downloads:
    Abstract page:825
    Full-text PDF :399
    References:95
    First page:2
     
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