The Periodicity of Positive Solutions of the Nonlinear Difference Equation xn+1=α+(xn−kp)/(xnq)
We give a remark about the periodic character of positive solutions of the difference equation xn+1=α+xn−kp/xnq, n=0,1,…, where k>1 is an odd integer, α,p, q∈(0,∞), and the initial conditions x−k,…,x0 are arbitrary positive numbers.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/742912 |