Stability of n-dimensional extremal surfaces of revolution

被引：0
|
作者：
Poluboyarova N.M. [1 ]
机构：
[1] Volgograd State University, Volgograd 400062
来源：
Russian Mathematics | 2011年 / 55卷 / 2期
关键词：
area-type functional; extremal surface; functional variation; stable (unstable) extremal surface;
D O I：
10.3103/S1066369X11020113
中图分类号：
学科分类号：
摘要：
In this paper we consider extremal surfaces of revolution of area-type functionals. For the latter we calculate the first and second variations. We prove stability and instability criteria for n-dimensional surfaces of revolution based on their definition and in terms of special integrals. © 2011 Allerton Press, Inc.
引用
收藏
页码：93 / 95
页数：2
相关论文
共 50 条
  • [41] TEMPORAL STABILITY OF N-DIMENSIONAL LINEAR PROCESSORS AND ITS APPLICATIONS
    CHANG, SSL
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1980, 27 (08): : 716 - 719
  • [42] Increasing stability in the n-dimensional inverse source problem with multifrequencies
    Si, Suliang
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (15) : 12340 - 12349
  • [43] On the global stability of the axial equilibrium for the n-dimensional Gompertz system
    Liu, Zhongli
    APPLIED MATHEMATICS LETTERS, 2017, 70 : 26 - 31
  • [44] Persistence, Permanence and Global Stability for an n-Dimensional Nicholson System
    Faria, Teresa
    Roest, Gergely
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2014, 26 (03) : 723 - 744
  • [45] N-dimensional Gregory-Bezier for N-dimensional cellular complexes
    Thery, S
    Bechmann, D
    Bertrand, Y
    WSCG '2001: SHORT COMMUNICATIONS AND POSTERS, 2001, : SH16 - SH23
  • [46] Solution and Fuzzy Stability of n-Dimensional Quadratic Functional Equation
    Indira, K.
    Agilan, P.
    Suresh, M.
    Balamurugan, Manivannan
    Karthikeyan, S.
    Sakthi, R.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2025, 23
  • [47] Stability analysis in N-dimensional gravitational collapse with an equation of state
    Sarwe, S.
    Saraykar, R. V.
    GRAVITATION & COSMOLOGY, 2014, 20 (04): : 282 - 289
  • [48] Linear Stability Conditions for a First Order n-Dimensional Mapping
    Rafael Luís
    Qualitative Theory of Dynamical Systems, 2021, 20
  • [49] The Generalized Stability of an n-Dimensional Jensen Type Functional Equation
    Tipyan, J.
    Srisawat, C.
    Udomkavanich, P.
    Nakmahachalasint, P.
    THAI JOURNAL OF MATHEMATICS, 2014, 12 (02): : 265 - 274
  • [50] Linear Stability Conditions for a First Order n-Dimensional Mapping
    Luis, Rafael
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021, 20 (01)
12345