| Authors: | Stević, Stevo |
| Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts |
| Title: | On positive solutions of a (k + 1)th order difference equation |
| Journal: | Applied Mathematics Letters |
| Volume: | 19 |
| Issue: | 5 |
| First page: | 427 |
| Last page: | 431 |
| Issue Date: | 1-Jan-2006 |
| Rank: | M23 |
| ISSN: | 0893-9659 |
| DOI: | 10.1016/j.aml.2005.05.014 |
| Abstract: | In this work we show that the following difference equation: xn+1=xn-k1+xn+⋯+xn-k+1,n=0,1,..., where k∈N is fixed, has a positive solution which converges to zero. This result solves Open Problem 11.4.10 (a) in [M.R.S. Kulenović, G. Ladas, Dynamics of Second Order Rational Difference Equations. With Open Problems and Conjectures, Chapman and Hall/CRC, 2001]. |
| Keywords: | Convergence to zero | Positive solutions | Rational difference equation |
| Publisher: | Elsevier |
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