A survey:: stability and boundedness of Volterra difference equations

被引:40
|
作者
Kolmanovskii, VB [1 ]
Castellanos-Velasco, E [1 ]
Torres-Muñoz, JA [1 ]
机构
[1] IPN, CINVESTAV, Mexico City 07360, DF, Mexico
关键词
asymptotic stability and boundedness; Volterra equations; direct Liapunov method; comparison principle; topology;
D O I
10.1016/S0362-546X(03)00021-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Volterra difference equations arise in the modeling of many real phenomena. In this survey stability and boundedness problems of some Volterra nonlinear difference equations are investigated. Stability conditions and boundedness are formulated in terms of the characteristics of equations. (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:861 / 928
页数:68
相关论文
共 50 条
  • [1] Boundedness and stability of discrete Volterra equations
    Małgorzata Migda
    Miroslava Růžičková
    Ewa Schmeidel
    Advances in Difference Equations, 2015
  • [2] Boundedness and stability of discrete Volterra equations
    Migda, Malgorzata
    Ruzickova, Miroslava
    Schmeidel, Ewa
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [3] Boundedness and periodicity of Volterra systems of difference equations
    Raffoul, YN
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 1998, 4 (04) : 381 - 393
  • [4] Stability of Volterra Difference Equations
    V. B. Kolmanovskii
    N. P. Kosareva
    Differential Equations, 2001, 37 : 1773 - 1782
  • [5] Stability of Volterra difference equations
    Kolmanovskii, VB
    Kosareva, NP
    DIFFERENTIAL EQUATIONS, 2001, 37 (12) : 1773 - 1782
  • [6] On the boundedness of the solutions in nonlinear discrete Volterra difference equations
    István Györi
    Essam Awwad
    Advances in Difference Equations, 2012
  • [7] lp-boundedness properties for Volterra difference equations
    Cuevas, Claudio
    Dantas, Filipe
    Choquehuanca, Mario
    Soto, Herme
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (12) : 6986 - 6999
  • [8] On the boundedness of the solutions in nonlinear discrete Volterra difference equations
    Gyoeri, Istvan
    Awwad, Essam
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [9] Boundedness of solutions of matrix nonlinear Volterra difference equations
    Gil, MI
    Medina, R
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2002, 7 (01) : 19 - 22
  • [10] Some conditions for boundedness of solutions of difference Volterra equations
    Kolmanovskii, V
    Shaikhet, L
    APPLIED MATHEMATICS LETTERS, 2003, 16 (06) : 857 - 862