ON APPROXIMATE SOLUTIONS OF SOME DIFFERENCE EQUATIONS

被引：19
|
作者：
Brzdek, Janusz [1 ]
Wojcik, Pawel [1 ]
机构：
[1] Pedag Univ Cracow, Inst Math, Podchorazych 2, PL-30084 Krakow, Poland
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 95卷 / 03期
关键词：
Hyers-Ulam stability; linear recurrence; difference equation; Banach space; metric space; fixed point theorem; HYERS-ULAM STABILITY; LINEAR RECURRENCE;
D O I：
10.1017/S0004972716001076
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we present a simple (fixed point) method that yields various results concerning approximate solutions of some difference equations. The results are motivated by the notion of Ulam stability.
引用
下载
收藏
页码：476 / 481
页数：6
相关论文
共 50 条
  • [31] The entire solutions of some binomial difference equations
    Wang, Zhuo
    Zhang, Qingcai
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2024, 118 (04)
  • [32] Meromorphic Solutions of Some Complex Difference Equations
    Zhi-Bo Huang
    Zong-Xuan Chen
    Advances in Difference Equations, 2009
  • [33] OSCILLATION OF SOLUTIONS OF SOME NONLINEAR DIFFERENCE EQUATIONS
    Szafranski, Zdzislaw
    Szmanda, Blazej
    PUBLICACIONS MATEMATIQUES, 1996, 40 (01) : 127 - 133
  • [34] On the Behaviour of Solutions for Some Systems of Difference Equations
    Yazlik, Y.
    Tollu, D. T.
    Taskara, N.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (01) : 166 - 178
  • [35] Solutions of some rational systems of difference equations
    El-Dessoky, M. M.
    Mansour, M.
    Elsayed, E. M.
    UTILITAS MATHEMATICA, 2013, 92 : 329 - 336
  • [36] GROWTH OF MEROMORPHIC SOLUTIONS OF SOME DIFFERENCE EQUATIONS
    Zheng, Xiu-Min
    Chen, Zong-Xuan
    Tu, Jin
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2010, 4 (02) : 309 - 321
  • [37] On limitedness of the solutions of some difference Volterra equations
    Ivinskaya, EV
    Kolmanovskii, VB
    AUTOMATION AND REMOTE CONTROL, 2000, 61 (08) : 1317 - 1327
  • [38] On some difference equations with eventually periodic solutions
    Amleh, AM
    Grove, EA
    Kent, CM
    Ladas, G
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 223 (01) : 196 - 215
  • [39] Global behavior of the solutions of some difference equations
    Elmetwally M Elabbasy
    Hamdy A El-Metwally
    Elsayed M Elsayed
    Advances in Difference Equations, 2011
  • [40] Qualitative Study of Solutions of Some Difference Equations
    El-Metwally, Hamdy
    Elsayed, E. M.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
12345