## Global behavior of solutions of $$x_{n+1}=[\max \{x_n^k,A\}]/x_{n-1}$$.(English)Zbl 0895.39004

The aim of the paper is to investigate the boundedness character and the oscillatory properties of solutions of the difference equation in the title, where $$n=1,2,\ldots$$, and $$x_0,x_1,A,k \in (0,\infty)$$.

### MSC:

 39A12 Discrete version of topics in analysis 39A10 Additive difference equations

### Keywords:

difference equation; boundedness; oscillations
Full Text:

### References:

 [1] Janowski, E.J., Kocic, V.L., Ladas, G. and Schultz, S.W. Global behavior of solutions of. Proceedings of the First International Conference on Difference Equations. 1994, San Antonio. Edited by: Elaydi, S.N., Graef, J.R., Ladas, G. and Peterson, A.C. pp.297–310. Gordon and Breach Publishers. [2] Kocic V.L., Global Asymeptotic Behavior of Nonlinear Difference Equatins of Higher Order with Applications (1993) [3] Kocic, V.L. and ladas, G. Oscillations of a nonlinear second order difference equation. 1994, San Antonio. Edited by: Elaydi, S.N., Graef, J.R., Ladas, G. and Paterson, A.C. pp.273–282. Gordon and Breach Publishers.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.