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GLOBAL ASYMPTOTIC STABILITY OF A SECOND ORDER RATIONAL DIFFERENCE EQUATION
Abo-Zeid, R. The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.3
The aim of this paper is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation $x_{n+1}\;=\;\frac{A+Bx_{n-1}}{C+Dx_n^2}$, n = 0, 1, 2, ... where A, B are nonnegative real numbers and C, D > 0.
GLOBAL ASYMPTOTIC STABILITY OF A SECOND ORDER RATIONAL DIFFERENCE EQUATION
R. Abo-Zeid 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.3
The aim of this paper is to investigate the global stability, pe-riodic nature, oscillation and the boundedness of solutions of the difference equation [수식]where A, B are nonnegative real numbers and C,D >0.
BEHAVIOR OF SOLUTIONS OF A RATIONAL THIRD ORDER DIFFERENCE EQUATION
R. Abo-Zeid 한국전산응용수학회 2020 Journal of applied mathematics & informatics Vol.38 No.1
In this paper, we solve the difference equation x_{n+1}={x_nx_{n-2}}/{ax_{n}-bx_{n-2}}, n=0,1,..., where a and b are positive real numbers and the initial values x_{-2}, x_{-1} and x_{0} are real numbers. We also find invariant sets nd discuss the global behavior of the solutions of aforementioned equation.
BEHAVIOR OF SOLUTIONS OF A RATIONAL THIRD ORDER DIFFERENCE EQUATION
ABO-ZEID, R. The Korean Society for Computational and Applied M 2020 Journal of applied mathematics & informatics Vol.38 No.1
In this paper, we solve the difference equation $x_{n+1}={\frac{x_nx_{n-2}}{ax_n-bx_{n-2}}}$, n = 0, 1, …, where a and b are positive real numbers and the initial values x<sub>-2</sub>, x<sub>-1</sub> and x<sub>0</sub> are real numbers. We also find invariant sets and discuss the global behavior of the solutions of aforementioned equation.