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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 4, Pages 57–73 (Mi uzku1158)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical modeling of the equilibrium problem for a soft biological shell. I. Generalized statement

G. R. Abdyushevaa, I. B. Badrieva, V. V. Banderovb, O. A. Zadvornova, R. R. Tagirovc

a Kazan (Volga Region) Federal University
b Kazan (Volga Region) Federal University
c Kazan (Volga Region) Federal University
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Abstract: A mathematical model of the equilibrium problem for a soft biological shell (small intestine) is constructed. The biological shell is modeled by a soft network shell formed by two families of mutually intersecting reinforcing filaments in the longitudinal and radial directions. A generalized formulation of the problem as a variational inequality with pseudomonotone operators is given. The solvability of the variational inequality is examined.
Keywords: soft biological shell, mathematical model, variational inequality, iterative method.
Received: 12.08.2012
Document Type: Article
UDC: 517.957
Language: Russian
Citation: G. R. Abdyusheva, I. B. Badriev, V. V. Banderov, O. A. Zadvornov, R. R. Tagirov, “Mathematical modeling of the equilibrium problem for a soft biological shell. I. Generalized statement”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 4, Kazan University, Kazan, 2012, 57–73
Citation in format AMSBIB
\Bibitem{AbdBadBan12}
\by G.~R.~Abdyusheva, I.~B.~Badriev, V.~V.~Banderov, O.~A.~Zadvornov, R.~R.~Tagirov
\paper Mathematical modeling of the equilibrium problem for a~soft biological shell.~I. Generalized statement
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 4
\pages 57--73
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1158}
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  • https://www.mathnet.ru/eng/uzku/v154/i4/p57
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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