Oscillation and Attractivity in a Discrete Model with Quadratic Nonlinearity

Let a, c Є (0, ∞), b Є R and let k be a nonnegative integer. We obtain necessary and sufficient conditions for all positive solutions of the nonlinear difference equation [formula omitted] to oscillate about its positive equilibrium. When k = 0, we obtain necessary and sufficient conditions for the positive equilibrium of Eq. (*) to be a global attractor of all positive solutions. © 1992, Taylor & Francis Group, LLC. All rights reserved.