TY - JOUR
A2 - Kulenović, Mustafa R. S.
AU - Atawna, S.
AU - Abu-Saris, R.
AU - Ismail, E. S.
AU - Hashim, I.
PY - 2015
DA - 2015/05/06
TI - Stability of Nonhyperbolic Equilibrium Solution of Second Order Nonlinear Rational Difference Equation
SP - 486985
VL - 2015
AB - This is a continuation part of our investigation in which the second order nonlinear rational difference equation xn+1=(α+βxn+γxn-1)/(A+Bxn+Cxn-1), n=0,1,2,…, where the parameters A≥0 and B, C, α, β, γ are positive real numbers and the initial conditions x-1, x0 are nonnegative real numbers such that A+Bx0+Cx-1>0, is considered. The first part handled the global asymptotic stability of the hyperbolic equilibrium solution of the equation. Our concentration in this part is on the global asymptotic stability of the nonhyperbolic equilibrium solution of the equation.
SN - 2356-7856
UR - https://doi.org/10.1155/2015/486985
DO - 10.1155/2015/486985
JF - Journal of Difference Equations
PB - Hindawi Publishing Corporation
KW -
ER -