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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, 2010, Issue 5(21), Pages 263–267
DOI: https://doi.org/10.14498/vsgtu825 (Mi vsgtu825) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Short Communication
Differential Equations

The Boundary Value Problem for the Loaded Equation of Mixed Parabolic-Hyperbolic Type in Rectangular Area

A. V. Tarasenko

Dept. of Higher Mathematics, Samara State Academy of Architecture and Construction, Samara
Full-text PDF (151 kB) Citations (6)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu825
Abstract: In work necessary and sufficient conditions of uniqueness of the decision of a regional problem for the loaded equation mixed parabolic hyperbolic type in rectangular area are established. The problem decision is constructed in the form of the number sum on own functions of a corresponding one-dimensional problem on own values.
Keywords: loaded equation of mixed type, spectral method, uniqueness, existence.
Original article submitted 01/IX/2010
revision submitted – 11/X/2010
Bibliographic databases:
Document Type: Article
UDC: 517.956.6
MSC: 35M12
Language: Russian
Citation: A. V. Tarasenko, “The Boundary Value Problem for the Loaded Equation of Mixed Parabolic-Hyperbolic Type in Rectangular Area”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 263–267
Citation in format AMSBIB
\Bibitem{Tar10}
\by A.~V.~Tarasenko
\paper The Boundary Value Problem for the Loaded Equation of Mixed Parabolic-Hyperbolic Type in~Rectangular Area
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 5(21)
\pages 263--267
\mathnet{http://mi.mathnet.ru/vsgtu825}
\crossref{https://doi.org/10.14498/vsgtu825}
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  • https://www.mathnet.ru/eng/vsgtu/v121/p263
    • This publication is cited in the following 6 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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