| Authors: | Stević, Stevo | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Boundedness and global stability of a higher-order difference equation | Journal: | Journal of Difference Equations and Applications | Volume: | 14 | Issue: | 10-11 | First page: | 1035 | Last page: | 1044 | Issue Date: | 1-Oct-2008 | Rank: | M21 | ISSN: | 1023-6198 | DOI: | 10.1080/10236190802332258 | Abstract: | Positive solutions of the following difference equation:[image omitted]where k, m, pj, j=1,m are naturals, p1pm, kpj, j=1,m, p, q(0, ) and j0, j=1,m such that [image omitted], are studied. We extend the results in De Vault et al. (Global behaviour of yn+1=(p+yn-k)/(qyn+yn-k), Nonlinear Anal. 47 (2001), pp. 4743-4751). |
Keywords: | Boundedness | Difference equation | Equilibrium point | Global stability | Linearized equation | Positive solutions | Publisher: | Taylor & Francis |
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