Back to Search
Start Over
On solutions of the nonlinear difference equation xn+1 = f(pn,xn-2s, xn-2t-1).
- Source :
- Journal of Difference Equations & Applications; Dec2005, Vol. 11 Issue 15, p1273-1280, 8p
- Publication Year :
- 2005
-
Abstract
- In this paper, we consider a nonlinear difference equation of the form x<subscript>n+1</subscript> =f(p<subscript>n</subscript>,x<subscript>n-2s</subscript>,x<subscript>n-2t-1</subscript>), n = 0,1,…, under some certain assumptions, where s,t ∈ {0,1,2,…} with s ⩽ t and the initial values x<subscript>-2t-1</subscript> ,x<subscript>-2t</subscript>,ߪ, x<subscript>0</subscript> ∈ (0, + ∞) and p<subscript>n</subscript> is the period-two sequence. We give sufficient conditions under which every positive solution of this equation converges to the period-two solution. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10236198
- Volume :
- 11
- Issue :
- 15
- Database :
- Complementary Index
- Journal :
- Journal of Difference Equations & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 19781619
- Full Text :
- https://doi.org/10.1080/10236190500386283