The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis

被引：1
|
作者：
Kamachkin, A. M. [1 ]
Yevstafyeva, V. V. [1 ]
Potapov, D. K. [1 ]
机构：
[1] St Petersburg State Univ, St Petersburg 199034, Russia
来源：
DIFFERENTIAL EQUATIONS | 2023年 / 59卷 / 07期
基金：
俄罗斯科学基金会;
关键词：
D O I：
10.1134/S0012266123070121
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A multidimensional system of ordinary differential equations with relay hysteresis isconsidered. The system parameters are assumed to be such that there exists a family ofcontinuous operators each of which maps some connected compact set into itself. In this case, theoperator corresponds to a periodic orbit with an even number of switching points in the phasespace of the system. For the operator family, a necessary and sufficient condition for the existenceof a single fixed point is obtained.
引用
收藏
页码：998 / 1002
页数：5
相关论文
共 50 条
  • [1] The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis
    A. M. Kamachkin
    V. V. Yevstafyeva
    D. K. Potapov
    Differential Equations, 2023, 59 : 998 - 1002
  • [2] Existence of a Unique Fixed Point for Nonlinear Contractive Mappings
    Reich, Simeon
    Zaslavski, Alexander J.
    MATHEMATICS, 2020, 8 (01)
  • [3] The Existence of γ-fixed Point for the Multidimensional Nonlinear Mappings Satisfying (ψ, θ, φ)-weak Contractive Conditions
    Akhadkulov, Habibulla
    Zuhra, Rahma
    bin Saaban, Azizan
    Shaddad, Fawzia
    Akhatkulov, Sokhobiddin
    SAINS MALAYSIANA, 2017, 46 (08): : 1341 - 1346
  • [4] On some mappings with a unique fixed point
    Jarosław Górnicki
    Journal of Fixed Point Theory and Applications, 2020, 22
  • [5] On some mappings with a unique fixed point
    Gornicki, Jaroslaw
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (01)
  • [6] Fixed Points of a Mapping Generated by a System of Ordinary Differential Equations with Relay Hysteresis
    Kamachkin, A. M.
    Potapov, D. K.
    Yevstafyeva, V. V.
    DIFFERENTIAL EQUATIONS, 2022, 58 (04) : 455 - 467
  • [7] Fixed Points of a Mapping Generated by a System of Ordinary Differential Equations with Relay Hysteresis
    A. M. Kamachkin
    D. K. Potapov
    V. V. Yevstafyeva
    Differential Equations, 2022, 58 : 455 - 467
  • [8] On some mappings with a unique common fixed point
    Khan, Abdul Rahim
    Oyetunbi, Dolapo Muhammed
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (02)
  • [9] On some mappings with a unique common fixed point
    Abdul Rahim Khan
    Dolapo Muhammed Oyetunbi
    Journal of Fixed Point Theory and Applications, 2020, 22
  • [10] ON THE EXISTENCE OF COMMON FIXED POINT FOR COMPATIBLE MAPPINGS
    Jha, K.
    Pant, R. P.
    Singh, S. L.
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2005, 37 : 39 - 47
12345