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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, 2009, Issue 1(18), Pages 6–17
DOI: https://doi.org/10.14498/vsgtu670 (Mi vsgtu670) 		 
This article is cited in 15 scientific papers (total in 17 papers)

Differential Equations

On Direct and Inverse Problems for the Hoff Equations on Graph

G. A. Sviridyuk, A. A. Bayazitova

Southern Ural State University. Dept. of Mathematical Physics Equations
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DOI: https://doi.org/10.14498/vsgtu670
Abstract: The Hoff equations defined on graph describe the dynamics of H-beams construction buckling. Generalization of the direct problem which is the Cauchy problem is obtained. For the first time the inverse coefficient problem is studied which is modeling the experiment that allows with additional measurements not only to study the construction buckling dynamics but also the characteristics of beam material. The unique solution of this problem is demonstrated.
Keywords: the Hoff equations on graph, phase space, an inverse problem.
Original article submitted 19/I/2009
revision submitted – 19/II/2009
Bibliographic databases:
Document Type: Article
UDC: 517.957
MSC: 35K65
Language: Russian
Citation: G. A. Sviridyuk, A. A. Bayazitova, “On Direct and Inverse Problems for the Hoff Equations on Graph”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(18) (2009), 6–17
Citation in format AMSBIB
\Bibitem{SviBay09}
\by G.~A.~Sviridyuk, A.~A.~Bayazitova
\paper On Direct and Inverse Problems for the Hoff Equations on Graph
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 1(18)
\pages 6--17
\mathnet{http://mi.mathnet.ru/vsgtu670}
\crossref{https://doi.org/10.14498/vsgtu670}
\elib{https://elibrary.ru/item.asp?id=13069330}
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    • This publication is cited in the following 17 articles:
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