Results 1 to 10 of about 235 (108)
Dynamics of a Rational Difference Equation [PDF]
Advances in Difference Equations, 2010 The main goal of the paper is to investigate boundedness, invariant intervals, semicycles, and global attractivity of all nonnegative solutions of the equation xn+1=(α+βxn+γxn-k)/(1+xn-k), n∈ℕ0, where the parameters
Wan-Tong Li, Lin-Xia Hu, Xiu-Mei Jia
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On A System of Rational Difference Equation
Demonstratio Mathematica, 2014 In this paper, we study local asymptotic stability, global character and periodic nature of solutions of the system of rational difference equations given by xn+1= , yn=, n=0, 1,…, where the parameters a; b; c; d; e; f ∊ (0; ∞), and with initial ...
Din Qamar
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Global Stability of a Rational Difference Equation [PDF]
Discrete Dynamics in Nature and Society, 2010 We consider the higher-order nonlinear difference equation 𝑥𝑛+1=(𝑝+𝑞𝑥𝑛−𝑘)/(1+𝑥𝑛+𝑟𝑥𝑛−𝑘),𝑛=0,1,… with the parameters, and the initial conditions 𝑥−𝑘,…,𝑥0 are nonnegative real numbers.
Guo-Mei Tang, Lin-Xia Hu, Gang Ma
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On the Dynamics of a Higher-Order Rational Difference Equation [PDF]
Discrete Dynamics in Nature and Society, 2011 The aim of this paper is to investigate the global asymptotic stability and the periodic character for the rational difference equation xn+1=αxn-1/(β+γΠi=lkxn-2ipi), n=0,1,2,…, where the parameters α,β,γ,pl,pl+1,…,pk are nonnegative real numbers, and l ...
A. M. Ahmed
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A note on a rational difference equation [PDF]
Journal of Difference Equations and Applications, 2011 We answer a question raised by G. Ladas at the ICDEA 2009 conference, by showing that the non-autonomous difference equation with x n , A n >0 and A n → 0 with the ratios A n+1/A n bounded can have solutions whose set of accumulation points contain a non-degenerate interval.
Michal Misiurewicz
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Dynamical behavior of one rational fifth-order difference equation
Karpatsʹkì Matematičnì Publìkacìï, 2023 In this paper, we study the qualitative behavior of the rational recursive equation \begin{equation*} x_{n+1}=\frac{x_{n-4}}{\pm1\pm x_{n}x_{n-1}x_{n-2}x_{n-3}x_{n-4}}, \quad n \in \mathbb{N}_{0}:=\{0\}\cup\mathbb N, \end{equation*} where the initial ...
B. Ogul, D. Simsek
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Stability of a rational difference equation
Applied Mathematics Letters, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi Wang 0096 +3 more
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Analytical Solution to a Third-Order Rational Difference Equation
The Scientific World Journal, 2023 Inspired by some open conjectures in a rational dynamical system by G. Ladas and Palladino, in this paper, we consider the problem of solving a third-order difference equation. We comment the conjecture by Ladas.
Alvaro H. Salas S. +2 more
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Global stability of a rational difference equation [PDF]
Applied Mathematics and Computation, 2007 For the difference equation \(x_{n+1}=bx_n/(1+b_0x_n+\cdots+b_kx_{n-k})\) with positive coefficients and \(b>1\) it is proved that the positive equilibrium is a global attractor of all positive solutions and for \(b_1+\cdots ...
Lin-Xia Hu, Wan-Tong Li
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Stability analysis for a rational difference equation
Arab Journal of Basic and Applied Sciences, 2020 Most qualitative behaviours of difference equations are rapidly investigated nowadays. This can be attributed to the fact that it is often sophisticated to construct the exact solutions of most difference equations. This article is written to analyse the
M. B. Almatrafi, Marwa M. Alzubaidi
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