Behavior of solutions of a second order rational difference equation
In this paper, we solve the difference equation xn+1 = α xnxn-1 - 1 , n = 0, 1, . . . , where α > 0 and the initial values x-1, x0 are real numbers. We find some invariant sets and discuss the global behavior of the solutions of that equation. We show that when α > 2 3 √ 3 , under certain cond...
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| Format: | Article |
| Language: | English |
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University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia
2019-01-01
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| Series: | Mathematica Moravica |
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| Online Access: | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2019/1450-59321901011A.pdf |