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On the Dynamics of the Nonlinear Rational Difference Equation x_{n+1}=Ax_{n}+Bx_{n-â„“}+((ax_{n-â„“}+bx_{n-k})/(cx_{n-â„“}+dx_{n-k}))
E. M. Elabbasy, H. S. Alshawee
Volume 15 Issue 9
Global Journal of Science Frontier Researc
Volume 15 Issue 9
Global Journal of Science Frontier Researc
In this paper, we study the locally stability, global stability, the periodicity and the boundedness of the positive solutions of the following nonlinear difference equationwhere the coefficients and are positive real number and are positive integers. The initial conditions are arbitrary positive real numbers such that .
