A note on positive non-oscillatory solutions of the difference equation xn+1 = α + xn-kp/xn p

Journal of Difference Equations and Applications

Volumn 12, Issue 5, 2006, Pages 495-499

  Berenhaut, Kenneth S ^a   Stević, Stevo ^b  

^a WAKE FOREST UNIVERSITY   (United States)

^b MATHEMATICAL INSTITUTE   (Serbia)

Author keywords

Convergence to zero; Difference equation; Polynomial; Positive non oscillatory solutions

Indexed keywords

EID: 33745656821     PISSN: 10236198     EISSN: 15635120     Source Type: Journal    
DOI: 10.1080/10236190500539543     Document Type: Article

References (11)

1. Berg, L., 1968, Asymptotische Darstellungen und Entwicklungen (Berlin: Dt. Verlag Wiss).
2. Berg, L., 2002, On the asymptotics of nonlinear difference equations. Zeitschrift fur Analysis und Anwendungen, 21(4), 1061-1074.
3. Berg, L., 2004, Inclusion theorems for non-linear difference equations with applications. Journal of Difference Equations and Applications, 10(4), 399-408.
4. Berg, L., 2005, Corrections to "Inclusion theorems for non-linear difference equations with applications," from [3]. Journal of Difference Equations and Applications, 11(2), 181-182.
5. n, Journal of Differential Equations and Applications, 9(8), 721-730.
6. Stević, S., 1996, Asymptotic behaviour of a sequence defined by iteration. Matematicki Vesnik, 48(3-4), 99-105.
7. Stević, S., 2002, Asymptotic behaviour of a sequence defined by a recurrence formula II. Australian Mathematical Society Gazette, 29(4), 209-215.
8. Stević, S., 2002, Asymptotic behaviour of a sequence defined by iteration with applications. Colloquium Mathematician, 93(2), 267-276.
9. Stević, S., 2003, Asymptotic behaviour of a non-linear difference equation. Indian Journal of Pure and Applied Mathematics, 34(12), 1681-1689.
10. β. Bulletin of Calcutta Mathematical Society, 95(1), 39-46.
11. p. Journal of Applied Mathematics and Computing, 18(1-2), 229-234.