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 A0 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 -