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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2007, Volume 7, Issue 2, Pages 25–32
DOI: https://doi.org/10.18500/1816-9791-2007-7-2-25-32 (Mi isu157) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Research of stability for extremal rotation surfaces

N. M. Medvedeva

Volgograd State University
Full-text PDF (207 kB) Citations (3)
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DOI: https://doi.org/10.18500/1816-9791-2007-7-2-25-32
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.
Bibliographic databases:
Document Type: Article
UDC: 514.772.2+517.97
Language: Russian
Citation: N. M. Medvedeva, “Research of stability for extremal rotation surfaces”, Izv. Saratov Univ. 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. Math. Mech. Inform.
\yr 2007
\vol 7
\issue 2
\pages 25--32
\mathnet{http://mi.mathnet.ru/isu157}
\crossref{https://doi.org/10.18500/1816-9791-2007-7-2-25-32}
\elib{https://elibrary.ru/item.asp?id=9955295}
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  • https://www.mathnet.ru/eng/isu157
  • https://www.mathnet.ru/eng/isu/v7/i2/p25
    • This publication is cited in the following 3 articles:
    1. N. M. Poluboyarova, “Relations between length and instability of tubular extremal surfaces”, Ufa Math. J., 13:1 (2021), 77–84  mathnet  crossref  isi
    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
    3. N. M. Poluboyarova, “Stability of n-dimensional extremal surfaces of revolution”, Russian Math. (Iz. VUZ), 55:2 (2011), 93–95  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Abstract page:371
    Full-text PDF :106
    References:68
    First page:1
     
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