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Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 2007, Volume 7, Issue 2, Pages 25–32 (Mi isu157)  

This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Research of stability for extremal rotation surfaces

N. M. Medvedeva

Volgograd State University

Abstract: In this work we obtain the first and second variations of area type functional for rotation surfaces formulas. We proof the feature of stability and instability in the terms of the local coordinates and special integrals. We consider some examples by application our results for research if stability for rotation surfaces.

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Document Type: Article
UDC: 514.772.2+517.97

Citation: N. M. Medvedeva, “Research of stability for extremal rotation surfaces”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 7:2 (2007), 25–32

Citation in format AMSBIB
\Bibitem{Med07}
\by N.~M.~Medvedeva
\paper Research of stability for extremal rotation surfaces
\jour Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform.
\yr 2007
\vol 7
\issue 2
\pages 25--32
\mathnet{http://mi.mathnet.ru/isu157}
\elib{http://elibrary.ru/item.asp?id=9955295}


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    This publication is cited in the following articles:
    1. N. M. Poluboyarova, “Stability of $n$-dimensional extremal surfaces of revolution”, Russian Math. (Iz. VUZ), 55:2 (2011), 93–95  mathnet  crossref  mathscinet
    2. N. M. Poluboyarova, “Uravneniya ekstremalei funktsionala potentsialnoi energii”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2016, no. 5(36), 60–72  mathnet  crossref
  • Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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