On the dynamics of the nonlinear rational difference equation xn+1 = Axn + Bxn−k + Cxn−l + bxn−k/dxn−k − exn−l
In this article, we study the periodicity, the boundedness and the global stability of the positive solutions of the following nonlinear difference equation xn+1=Axn+Bxn-k+Cxn-l+bxn-kdxn-k-exn-l,n=0,1,2,… where the coefficients A,B,C,b,d,e∈(0,∞), while k and l are positive integers. The initial cond...
Main Authors: | M.A. El-Moneam, E.M.E. Zayed |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2015-10-01
|
Series: | Journal of the Egyptian Mathematical Society |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X1400131X |
Similar Items
-
On the difference equation xn+1=axn−l+bxn−k+f(xn−l,xn−k) $x_{n+1}=ax_{n-l}+bx_{n-k}+f ( x_{n-l},x_{n-k} )$
by: Mahmoud A. E. Abdelrahman, et al.
Published: (2018-11-01) -
Attractivity of the recursive sequence xn+1=(A−Bxn−2)/(C+Dxn−1)
by: A.M. Ahmed, et al.
Published: (2016-07-01) -
On the Global of the Difference Equation ${x_{n+1}}=\frac{{\alpha {x_{n-m}+\eta {x_{n-k}}+}}\delta {{x_{n}}}}{{\beta +\gamma {x_{n-k}}{x_{n-l}}\left( {{x_{n-k}}+{x_{n-l}}}\right) }}$
by: Mohamed Abd El-moneam
Published: (2022-12-01) -
Dynamics of difference equation xn+1=f(xn−l,xn−k) $x_{n+1}=f( x_{n-l},x_{n-k})$
by: Osama Moaaz
Published: (2018-12-01) -
Global Stability of a Second-Order Exponential-Type Difference Equation
by: Tarek Fawzi Ibrahim, et al.
Published: (2022-08-01)