Berg, Lothar
On the Asymptotics of Nonlinear Difference Equations
Preprint series: Preprints aus dem Fachbereich Mathematik, Universität Rostock

MSC:

39A11 Stability of difference equations

41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.), See also {30E15}

Abstract: Solutions of nonlinear difference equations of second order
are investigated with respect to their asymptotic behaviour.
In particular, seven conjectures of Kulenovi\'{c} and Ladas
concerning rational difference equations are verified.
Keywords: Nonlinear difference equations, asymptotic approximations, asymptotically periodic solutions