Behavior and Expression of the Solutions of Some Rational Difference Equations

被引：0
作者：
Elsayed, E. M. [1 ,2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2013年 / 15卷 / 01期
关键词：
difference equations; stability; periodic solution;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we obtain the expression of the solutions of the following recursive sequences x(n+1) = x(n-2)x(n-4)/x(n-1)(+/-1 +/- x(n-2)x(n-4)), n = 0,1, ..., where the initial conditions are arbitrary non zero real numbers. Also, we study the behavior of the solution of these equations.
引用
收藏
页码：73 / 81
页数：9
相关论文
共 50 条
[41]   Classification of global behavior of a system of rational difference equations [J].
Matsunaga, Hideaki ;
Suzuki, Rina .
APPLIED MATHEMATICS LETTERS, 2018, 85 :57-63
[42]   Solution for Rational Systems of Difference Equations of Order Three [J].
El-Dessoky, Mohamed M. .
MATHEMATICS, 2016, 4 (03)
[43]   Solution and Behavior of a Third Rational Difference Equation [J].
El-Metwally, H. ;
Elsayed, E. M. .
UTILITAS MATHEMATICA, 2012, 88 :27-42
[44]   BEHAVIOR OF SOLUTIONS OF A RATIONAL THIRD ORDER DIFFERENCE EQUATION [J].
Abo-Zeid, R. .
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2020, 38 (1-2) :1-12
[45]   Periodic solutions and stability of eighth order rational difference equations [J].
Almatrafi, M. B. ;
Alzubaidi, Marwa M. .
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 26 (04) :405-417
[46]   ON SOLUTIONS TO SOME NONLINEAR DIFFERENCE AND DIFFERENTIAL EQUATIONS [J].
Chen, Wei ;
Hu, Pei-Chu ;
Zhang, Yingying .
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (04) :835-846
[47]   The properties of the meromorphic solutions of some difference equations [J].
Huang, Zhi-Bo ;
Chen, Zong-Xuan ;
Li, Qian .
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2013, 58 (07) :1023-1036
[48]   On some difference equations with eventually periodic solutions [J].
Amleh, AM ;
Grove, EA ;
Kent, CM ;
Ladas, G .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 223 (01) :196-215
[49]   On the Behaviour of Solutions for Some Systems of Difference Equations [J].
Yazlik, Y. ;
Tollu, D. T. ;
Taskara, N. .
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (01) :166-178
[50]   Bases of the space of solutions of some fourth-order linear difference equations: applications in rational approximation [J].
Marcellan, Francisco ;
Mendes, Ana ;
Pijeira, Hector .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (10) :1632-1644
12345