The dynamics of the recursive sequence xn+1 = αx n-1/β+γxn-2p

Applied Mathematics Letters

Volumn 18, Issue 9, 2005, Pages 1013-1018

  El Owaidy, H M ^a   Ahmed, A M ^a   Youssef, A M ^a  

^a Al Azhar University   (Egypt)

Author keywords

Global asymptotic stability; Oscillation; Period two solutions; Recursive sequences; Semicycles

Indexed keywords

ASYMPTOTIC STABILITY; DYNAMICS; NUMBER THEORY; OSCILLATIONS; PARAMETER ESTIMATION; THEOREM PROVING;

GLOBAL ASYMPTOTIC STABILITY; PERIOD TWO SOLUTIONS; RECURSIVE SEQUENCES; SEMICYCLES;

DIFFERENCE EQUATIONS;

EID: 20444482093     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2003.09.014     Document Type: Article

References (6)

1. A.M. Amleh, V. Kirk, and G. Ladas On the dynamics of x n + 1 = (a + b x n - 1) / (A + B x n - 2) Math. Sci. Res. Hot-Line 5 2001 1 15
2. C. Gibbons, M. Kulenović, and G. Ladas On the recursive sequence y n + 1 = (α + β y n - 1) / (γ + y n) Math. Sci. Res. Hot-Line 4 2 2000 1 11
3. V.L. Kocic, and G. Ladas Global Behavior of Nonlinear Difference Equations of Higher Order with Applications 1993 Kluwer Academic Dordrecht
4. V.L. Kocic, G. Ladas, and I. Rodrigues On the rational recursive sequences J. Math. Anal. Appl. 173 1993 127 157
5. H.M. El-Owaidy, A.M. Ahmed, and M.S. Mousa On the recursive sequences x n + 1 = (- α x n - 1) / (β ± x n) J. Appl. Math. Comput. 145 2003 747 753
6. H.M. El-Owaidy, A.M. Ahmed, and Z. Elsady Global attractivity of the recursive sequence x n + 1 = (α - β x n - 1) / (γ + x n) J. Appl. Math. Comput. 151 2004 827 833