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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 3(32), Pages 185–189
DOI: https://doi.org/10.14498/vsgtu1248 (Mi vsgtu1248) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Short Communication
Differential Equations

On a boundary value problem for mixed type equation with nonlocal initial conditions in the rectangle

S. V. Kirichenko

Samara State Transport University, Samara, 443066, Russia
Full-text PDF (478 kB) Citations (4)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1248
Abstract: The boundary value problem for mixed type equation with nonlocal initial conditions in integral form is considered. The main result states that the nonlocal problem is equivalent to the classical boundary value problem for a loaded equation. This fact helps to prove the uniqueness and, under extra restrictions, the existence of a generalized solution of the problem.
Keywords: mixed type equation, nonlocal conditions, generalized solution.
Original article submitted 24/VII/2013
revision submitted – 09/VIII/2013
Bibliographic databases:
Document Type: Article
UDC: 517.956.6
MSC: 35M13
Language: Russian
Citation: S. V. Kirichenko, “On a boundary value problem for mixed type equation with nonlocal initial conditions in the rectangle”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(32) (2013), 185–189
Citation in format AMSBIB
\Bibitem{Kir13}
\by S.~V.~Kirichenko
\paper On a boundary value problem for mixed type equation with nonlocal initial conditions in the rectangle
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 3(32)
\pages 185--189
\mathnet{http://mi.mathnet.ru/vsgtu1248}
\crossref{https://doi.org/10.14498/vsgtu1248}
\zmath{https://zbmath.org/?q=an:06968795}
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  • https://www.mathnet.ru/eng/vsgtu/v132/p185
    • 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
     
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