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...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Stoikidis Anastasios
Papaschinopoulos Garyfalos
Dokumentumtípus: Folyóirat
Megjelent: 2020
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet
doi:10.14232/ejqtde.2020.1.39

Online Access:http://acta.bibl.u-szeged.hu/70152
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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. 
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