Study of a cyclic system of difference equations with maximum
In this paper we study the behaviour of the solutions of the following cyclic system of difference equations with maximum: xi(n + 1) = max � Ai xi(n) xi+1(n − 1) , i = 1, 2, . . . , k − 1, xk (n + 1) = max � Ak xk (n) x1(n − 1) where n = 0, 1, 2, . . . , Ai , i = 1, 2, . . . , k, are positive consta...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2020.1.39 |
| Online Access: | http://acta.bibl.u-szeged.hu/70152 |
| Tartalmi kivonat: | In this paper we study the behaviour of the solutions of the following cyclic system of difference equations with maximum: xi(n + 1) = max � Ai xi(n) xi+1(n − 1) , i = 1, 2, . . . , k − 1, xk (n + 1) = max � Ak xk (n) x1(n − 1) where n = 0, 1, 2, . . . , Ai , i = 1, 2, . . . , k, are positive constants, xi(−1), xi(0), i = 1, 2, . . . , k, are real positive numbers. Finally for k = 2 under some conditions we find solutions which converge to periodic six solutions. |
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| ISSN: | 1417-3875 |