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Global attractivity of the equilibrium of a difference equation: An elementary proof assisted by computer algebra system.
- Source :
- Journal of Difference Equations & Applications; Jan2011, Vol. 17 Issue 1, p33-41, 9p, 1 Diagram, 2 Charts, 2 Graphs
- Publication Year :
- 2011
-
Abstract
- Let p and q be arbitrary positive numbers. It is shown that if [image omitted] , then all solutions to the difference equation[image omitted] converge to the positive equilibrium [image omitted] . The above result, taken together with the 1993 result of Kocic and Ladas for equation (E) with [image omitted] , gives global attractivity of the positive equilibrium of (E) for all positive values of the parameters, thus completing the proof of a conjecture of Ladas. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10236198
- Volume :
- 17
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Difference Equations & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 55815694
- Full Text :
- https://doi.org/10.1080/10236190902932718