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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 1(20), Pages 6–15
DOI: https://doi.org/10.14498/vsgtu735 (Mi vsgtu735) 		 
This article is cited in 10 scientific papers (total in 12 papers)

Differential Equations

Hoff Equation Stability on a Graph

G. A. Sviridyuka, S. A. Zagrebinaa, P. O. Pivovarovab

a Dept. of Mathematical Physics Equations, Southern Ural State University, Chelyabinsk
b Dept. of Mathematical Analysis, Magnitogorsk State University, Magnitogorsk
Full-text PDF (374 kB) Citations (12)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu735
Abstract: We consider the stability of stationary solutions of the Hoff equation on a graph, which is a model design of I-beams. The basic approach second Lyapunov method, modified according to our situation. In the end explains the technical meaning of the parameter $\lambda_0$.
Keywords: Hoff equations, stability, Lyapunov function, graph.
Original article submitted 04/IX/2009
revision submitted – 13/III/2010
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35B35, 35K70
Language: Russian
Citation: G. A. Sviridyuk, S. A. Zagrebina, P. O. Pivovarova, “Hoff Equation Stability on a Graph”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(20) (2010), 6–15
Citation in format AMSBIB
\Bibitem{SviZagPiv10}
\by G.~A.~Sviridyuk, S.~A.~Zagrebina, P.~O.~Pivovarova
\paper Hoff Equation Stability on a Graph
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 1(20)
\pages 6--15
\mathnet{http://mi.mathnet.ru/vsgtu735}
\crossref{https://doi.org/10.14498/vsgtu735}
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  • https://www.mathnet.ru/eng/vsgtu/v120/p6
    • This publication is cited in the following 12 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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    Full-text PDF :277
    References:84
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