On a system of difference equations

被引：99

作者：

Stevic, Stevo ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 07期

关键词：

System of difference equations; Solution; GLOBAL STABILITY; HIGHER-ORDER; NONTRIVIAL SOLUTIONS; POSITIVE SOLUTIONS; ATTRACTIVITY; PERIODICITY; ASYMPTOTICS; XN+1;

D O I：

10.1016/j.amc.2011.08.079

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the system of difference equations x(n+1) = ax(n-1)/by(n)x(n-1) + c, y(n+1) = alpha y(n-1)/beta x(n)y(n-1) + gamma, n is an element of N-0, where the parameters a, b, c, alpha, beta, gamma and initial values x (1), x(0), y (1), y(0) are real numbers, can be solved, considerably improving the results in the literature. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：3372 / 3378

页数：7

共 37 条

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Aloqeili, Marwan
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (03) : 950 - 953
[2] The global attractivity of the rational difference equation
Berenhaut, Kenneth S.
Foley, John D.
Stevic, Stevo
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Berenhaut, Kenneth S.
Stevic, Stevo
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[4] 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
[5] Linear difference equations mod 2 with applications to nonlinear difference equations
Berg, Lothar
Stevic, Stevo
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2008, 14 (07) : 693 - 704
[6] Periodicity of some classes of holomorphic difference equations
Berg, Lothar
Stevic, Stevo
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2006, 12 (08) : 827 - 835
[7] On the asymptotics of the difference equation yn(1+yn-1,yn-k+1) = yn-k
Berg, Lothar
Stevic, Stevo
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (04) : 577 - 586
[8] Asymptotically periodic solutions of Volterra system of difference equations
Diblik, Josef
Schmeidel, Ewa
Ruzickova, Miroslava
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (08) : 2854 - 2867
[9] Eventually constant solutions of a rational difference equation
Iricanin, Bratislav
Stevic, Stevo
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (02) : 854 - 856
[10] On a class of third-order nonlinear difference equations
Iricanin, Bratislav
Stevic, Stevo
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 213 (02) : 479 - 483

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