Linear difference equations mod 2 with applications to nonlinear difference equations

被引：27

作者：

Berg, Lothar ^{[2
]}

Stevic, Stevo ^{[1
]}

机构：

[1] Inst Serbian Acad Sci, Belgrade 11000, Serbia

[2] Univ Rostock, Inst Math, D-18051 Rostock, Germany

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2008年 / 14卷 / 07期

关键词：

linear difference equations mod 2; rational functions mod 2; periodicities; semicycle analysis for nonlinear difference equations;

D O I：

10.1080/10236190701754891

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Known results for linear difference equations mod 2 with T-periodic solutions are extended and compiled for applications to the semicycle analysis of nonlinear difference equations. For the calculation of T, four methods are presented. A further application concerns rational functions in the field of integers mod 2.

引用

页码：693 / 704

页数：12

共 19 条

[1] The global attractivity of the rotational difference equation γn=γn-k+γn-m/1+γn-kγn-m
Berenhaut, Kenneth S.
Foley, John D.
Stevic, Stevo
[J]. APPLIED MATHEMATICS LETTERS, 2007, 20 (01) : 54 - 58
[2] The global attractivity of a higher order rational difference equation
Berenhaut, Kenneth S.
Stevic, Stevo
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (02) : 940 - 944
[3] Periodicity of some classes of holomorphic difference equations
Berg, Lothar
Stevic, Stevo
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2006, 12 (08) : 827 - 835
[4] When does local asymptotic stability imply global attractivity in rational equations?
Camouzis, E.
Ladas, G.
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2006, 12 (08) : 863 - 885
[5] Cinar C., 2004, ROSTOCK MATH K, V59, P41
[6] On the behaviour of the solutions of a second-order difference equation
Gutnik, Leonid
Stevic, Stevo
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2007, 2007
[7] HU Y, 2006, ROSTOCK MATH K, V61, P73
[8] JERRY AJ, 1996, LINEAR DIFFERENCE EQ
[9] KOCIC VL, 1993, GLOBAL BEHAV NONLINE
[10] Global asymptotic stability in some discrete dynamical systems
Kruse, N
Nesemann, T
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 235 (01) : 151 - 158

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