| 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 |
Show full item record
SCOPUSTM
Citations
100
checked on Nov 23, 2024
Page view(s)
13
checked on Nov 24, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.