discrete Hardy field; second order difference equation
We shall investigate the properties of solutions of second order linear difference equations defined over a discrete Hardy field via canonical valuations.
 Ramayyan A.: On $n$th order differential equations over Hardy fields
. Kybernetika 30 (1994), 461–470 MR 1303296
| Zbl 0822.34033
 Thandapani E., Graef J. R., Spikes P. W.: Monotonicity and summability of solution of a second order nonlinear difference equation
. Bull. Inst. Math. Acad. Sinica 23 (1995), 343–356 MR 1367370