Results 241 to 250 of about 274,060 (275)

Dynamics of a rational difference equation

Chinese Annals of Mathematics, Series B, 2009
The article deals with some properties of the solutions of the difference equation \[ x_{n+1} = \frac{ax_{n-l}x_{n-k}}{bx_{n-p} + cx_{n-q}}, \qquad n = 0,1,\dots,\tag{1} \] with the initial condition \(x_{-r},x_{-r+1},\dots,x_0\) that are arbitrary positive reals, \(r = \max \;\{l,k,p,q\}\); \(a, b, c\) are positive constants.
Elabbasy, Elmetwally M., Elsayed, Elsayed M.   +1 more
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Dynamics of the Rational Difference Equation

Information Sciences Letters, 2014
In this article, we study the periodicity, the boundedness and the global stab ility of the positive solutions of the following nonlinear difference ...
M. A. El-Moneam, E. M. E. Zayed
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Dynamics of a rational difference equation

Applied Mathematics and Computation, 2006
Abstract In this note, we investigate the solution of the difference equation x n + 1 = x n - 1 a - x n - 1 x n , n = 0 , 1 , 2 , … , where x - 1 , x 0 ∈ R and a > 0. Moreover, we discuss the stability properties and semi-cycle behavior of this solution.
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Solution of rational difference equation

2019
Summary: The behavior of the solutions of the following system of difference equations is examined, \[ x_{n+1}=\frac{x_{n-27}}{1+x_{n-3}x_{n-7}x_{n-11}x_{n-15}x_{n-19}x_{n-23}} \] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers.
Simşek D., Ogul B., Imashkyzy M.
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Periodic solutions of the rational difference equation

Journal of Difference Equations and Applications, 2006
This paper studies the behavior of positive solutions of the recursive equation with We prove that every positive solution {y i } converges to a period two solution or to the equilibrium . This result answers Open Problem 11.4.8 (a) in Kulenovic and Ladas, 2002 Dynamics of Second Order Rational Difference Equations.
Kenneth S. Berenhaut, Jennifer E. Dice, John D. Foley, Bratislav Iričanin, Stevo Stević   +4 more
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On the characterization of rational difference equations

Journal of Difference Equations and Applications, 2009
We explore the implications of monotonic character for difference equations of order greater than one. Several techniques are developed culminating in the complete characterization of the behaviour of solutions to the k th order rational difference equation in the case As is customary we assume non-negative parameters and non-negative initial ...
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On the system of rational difference equations

AIP Conference Proceedings, 2016
In this paper, we study the following system of rational difference equations for n ∈ ℕ0 {xn+1=αyn−2β+ρyn−2xn−1yn,yn+1=δxn−2ζ+ηxn−2yn−1xnzn+1=θzn−2λ+μyn−2xn−1yn,, where the parameters α, β, ρ, δ, ζ, η, θ, λ, µ and initial values x−i, y−i, z−i, i ∈ {0, 1, 2} are reel numbers.
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On the rational difference equation

Applied Mathematics and Computation, 2005
M. Saleh, M. Aloqeili
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Periodically Forced Rational Difference Equations

Discrete Dynamics and Difference Equations, 2010
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Rational Third-Order Difference Equations

2005
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