Classifications and existence of positive solutions of a higher order nonlinear difference equation
Volume 83 / 2000
Colloquium Mathematicum 83 (2000), 137-153
DOI: 10.4064/cm-83-1-137-153
Abstract
A classification scheme for the eventually positive solutions of a class of higher order nonlinear difference equations is given in terms of their asymptotic magnitudes, and necessary as well as sufficient conditions for the existence of such solutions are provided.
