On a generalized cyclic-type system of difference equations with maximum
In this paper we investigate the behaviour of the solutions of the following k-dimensional cyclic system of difference equations with maximum: xi(n + 1) = max ( Ai x p i (n) x q i+1 (n − 1) , i = 1, 2, . . . , k − 1, xk (n + 1) = max ( Ak x p k (n) x q 1 (n − 1) where n = 0, 1, . . . , Ai > 1, fo...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2022
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2022.1.65 |
| Online Access: | http://acta.bibl.u-szeged.hu/78350 |
| Tartalmi kivonat: | In this paper we investigate the behaviour of the solutions of the following k-dimensional cyclic system of difference equations with maximum: xi(n + 1) = max ( Ai x p i (n) x q i+1 (n − 1) , i = 1, 2, . . . , k − 1, xk (n + 1) = max ( Ak x p k (n) x q 1 (n − 1) where n = 0, 1, . . . , Ai > 1, for i = 1, 2, . . . , k, whereas the exponents p, q and the initial values xi(−1), xi(0), i = 1, 2, . . . , k are positive real numbers. |
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| ISSN: | 1417-3875 |