On the Difference Equation xn=anxn-k/(bn+cnxn-1⋯xn-k)
The behavior of well-defined solutions of the difference equation xn=anxn-k/(bn+cnxn-1⋯xn-k), n∈ℕ0, where k∈ℕ is fixed, the sequences an, bn and cn are real, (bn,cn)≠(0,0), n∈ℕ0, and the initial values x-k,…,x-1 are real numbers, is described.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/409237 |