Results 271 to 280 of about 649,859 (305)

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
openaire   +1 more source

Dynamics of an Anti-competitive Two Dimensional Rational System of Difference Equations

Sarajevo Journal of Mathematics
We investigate the global asymptotic behavior of solutions of the following anti-competitive system of rational difference equations\begin{equation*}x_{n+1}=\frac{\gamma _{1}y_{n}}{A_{1}+x_{n}}+h,\quady_{n+1}=\frac{\beta _{2}x_{n}}{A_{2}+y_{n}},\quad n=0,
M. Gari, C. C-Demirovi, M. Nurkanovi
semanticscholar   +1 more source

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 ...
openaire   +1 more source

On the rational difference equation

Applied Mathematics and Computation, 2005
M. Saleh, M. Aloqeili
openaire   +1 more source

Note on a rational system of $$\left( 4k+4\right) $$ 4 k + 4 -order difference equations: periodic solution and convergence

Journal of Applied Mathematics and Computation, 2022
Ahmed Ghezal
semanticscholar   +1 more source

Forbidden sets and stability in some rational difference equations

, 2018
R. Abo-zeid
semanticscholar   +1 more source

Periodically Forced Rational Difference Equations

Discrete Dynamics and Difference Equations, 2010
openaire   +1 more source

Rational Third-Order Difference Equations

2005
openaire   +2 more sources

The form of solutions and periodicity for some systems of third‐order rational difference equations

, 2016
M. el-Dessoky
semanticscholar   +1 more source

Solutions of the rational difference equations xn+1=xn−111+xn−2xn−5xn−8

, 2017
D. Şimşek, B. Oğul, F. Abdullayev
semanticscholar   +1 more source