Stability of a class of nonlinear difference equations

被引：9
|
作者：
Papaschinopoulos, G [1 ]
Schinas, CJ
机构：
[1] Democritus Univ Thrace, Dept Elect & Comp Engn, GR-67100 Xanthi, Greece
[2] Univ Macedonia, Dept Appl Informat, Salonika 54006, Greece
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 230卷 / 01期
关键词：
nonlinear difference equations; stability; area preserving map; KAM theory;
D O I：
10.1006/jmaa.1998.6194
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper using KAM theory we investigate the stability nature of the zero equilibrium of the system of two nonlinear difference equations [GRAPHICS] where a(i),b(i),c(i), i = 1,2 are real constants and f: R --> R is a C-infinity function. (C) 1999 Academic Press.
引用
收藏
页码：211 / 222
页数：12
相关论文
共 50 条
  • [31] ASYMPTOTIC STABILITY AND BOUNDEDNESS OF NONLINEAR DIFFERENCE EQUATIONS
    SINHA, ASC
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1976, 7 (08) : 929 - 934
  • [32] On stability of nonlinear difference equations and some of their applications
    Aripov, M. M.
    Utebaev, D.
    Utebaev, B. D.
    Yarlashov, R. Sh.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS SERIES, 2024, 115 (03): : 13 - 25
  • [33] Global asymptotic stability for nonlinear difference equations
    Peng, Yuehui
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (01) : 67 - 72
  • [34] STABILITY IN TOTALLY NONLINEAR DELAY DIFFERENCE EQUATIONS
    Ardjouni, Abdelouaheb
    Djoudi, Ahcene
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2016, 6 (02): : 350 - 366
  • [35] About stability of nonlinear stochastic difference equations
    Paternoster, B
    Shaikhet, L
    APPLIED MATHEMATICS LETTERS, 2000, 13 (05) : 27 - 32
  • [36] Psi-Stability for Nonlinear Difference Equations
    Rao, T. S.
    Kumar, G. Suresh
    Murty, M. S. N.
    THAI JOURNAL OF MATHEMATICS, 2018, 16 (03): : 801 - 815
  • [37] ON THE STABILITY OF A CLASS OF ESSENTIALLY NONLINEAR DIFFERENCE SYSTEMS
    Sultanbekov, A. A.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2012, (02): : 132 - 143
  • [38] Existence of Homoclinic Solutions for a Class of Nonlinear Difference Equations
    Chen, Peng
    Tang, X. H.
    ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [39] The asymptotic behavior of a class of nonlinear delay difference equations
    Sedaghat, H
    Wang, WD
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (06) : 1775 - 1783
  • [40] Oscillation of solutions for a class of nonlinear fractional difference equations
    Secer, Aydin
    Adiguzel, Hakan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (11): : 5862 - 5869
12345