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...
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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 |
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100 | 1 | |a Stoikidis Anastasios | |
245 | 1 | 0 | |a Study of a cyclic system of difference equations with maximum |h [elektronikus dokumentum] / |c Stoikidis Anastasios |
260 | |c 2020 | ||
490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
520 | 3 | |a 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. | |
695 | |a Differenciálegyenlet | ||
700 | 0 | 1 | |a Papaschinopoulos Garyfalos |e aut |
856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/70152/1/ejqtde_2020_039.pdf |z Dokumentum-elérés |