On the period five trichotomy of all positive solutions of Xn+1 = (p + Xn-2) / Xn

Journal of Mathematical Analysis and Applications

Volumn 291, Issue 1, 2004, Pages 40-49

  Camouzis, E ^a   De Vault, R ^b   Kosmala, W ^c  

^a AMERICAN COLLEGE OF GREECE   (Greece)

^b NW State University of Louisiana ^*  (United States)

^c APPALACHIAN STATE UNIVERSITY   (United States)

Author keywords

Boundedness; Difference equation; Global stability; Periodic solution

Indexed keywords

EID: 1442356501     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2003.10.016     Document Type: Article

References (4)

1. E. Camouzis, G. Ladas, Three trichotomy conjectures, J. Difference Equations Appl. 8 (2002) 495-500.
2. E. Camouzis, C.H. Gibbons, G. Ladas, On period two convergence in rational difference equations, J. Difference Equations Appl. 9 (2003) 535-540.
3. M.R.S. Kulenovic, G. Ladas, Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures, Chapman and Hall/CRC, 2001.
4. V.G. Papanicolaou, On the asymptotic stability of a class of linear difference equations, Math. Mag. 69 (1996) 34-43.