Some Discussions on the Difference Equation xn+1=α+(xn-1m/xnk)
We give in this work the sufficient conditions on the positive solutions of the difference equation xn+1=α+(xn-1m/xnk), n=0,1,…, where α, k, and m∈(0,∞) under positive initial conditions x-1, x0 to be bounded, α-convergent, the equilibrium point to be globally asymptotically stable and that every...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/737420 |