On Global Periodicity of a Class of Difference Equations
We show that the difference equation xn=f3(xn−1)f2(xn−2)f1(xn−3), n∈ℕ0, where fi∈C[(0,∞),(0,∞)], i∈{1,2,3}, is periodic with period 4 if and only if fi(x)=ci/x for some positive constants ci, i∈{1,2,3} or if fi(x)=ci/x when i=2 and fi(x)=cix if i∈{1,3}, with c1c2c3=1. Also, we prove that the diff...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2007/23503 |
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