논문KCI 등재
The Dynamics of Solutions to the Equation xn+1=p+xn-k/q+xn+xn-k/xn
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주제분류수학
초록
We study the global asymptotic stability, the character of the semicycles, the periodic nature and oscillation of the positive solutions of the difference equation xn+1=p+xn-k/q+xn+xn-k/xn,n=0,1,2,…. p,q ∈ (0,∞),q ≠ 2, k∈(1,2,…)and the initial values x-k,…,x0 are arbitrary positive real numbers.
Abstract
We study the global asymptotic stability, the character of the semicycles, the periodic nature and oscillation of the positive solutions of the difference equation xn+1=p+xn-k/q+xn+xn-k/xn,n=0,1,2,…. p,q ∈ (0,∞),q ≠ 2, k∈(1,2,…)and the initial values x-k,…,x0 are arbitrary positive real numbers.
참고문헌 (11)
- A. M. Amleh, "On the recursive sequence xn+1 = α + xn-1", xn, 1999, pp.233(2), 790~798
- K. S. Berenhaut, "The global attractivity of the rational difference equation yn = 1 + yn-k", yn-m, 2007, pp.135(4), 1133~1140
- K. S. Berenhaut, "On the rational recursive sequence yn = A + yn-1", yn-m for small A, 2008, pp.21(9), 906~909
- R. DeVault, "Global behavior of yn+1 = p+yn-k", qyn+yn-k, Proceedings of the Third World Congress of Nonlinear Analysts, Part 7 (Catania, 2000), 2001, pp.47(7), 4743~4751
- H. M. El-Owaidy, "On asymptotic behaviour of the difference equation xn+1 = α + xn-k", xn, 2004, pp.147(1), 163~167
- E. A. Grove, "Periodicities in nonlinear difference equations, Advances in Discrete Mathematics and Applications, 4", pp.2005, Chapman and Hall
- D. Mehdi, "On the global behavior of a high-order rational difference equation", Comput. Phys. Comm. (2009)
- S. Ozen, "On the recursive sequence yn+1 = α+yn-1", β+yn + yn-1, Appl. Math. Comput., pp.2007, 188(1)[DOI]
- M. Saleh, "On the rational difference equation yn+1 = A + yn-k", yn, 2005, pp.171(2), 862~869
- S. Stevic, "Asymptotic periodicity of a higher-order difference equation", Discrete Dyn. Nat. Soc., pp.9~ (2007)
- T. Sun, "The periodic character of the difference equation xn+1 = f(xn-l+1, xn-2k+1)", Adv. Difference Equ., pp.6~ (2008)
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