Stoikidis Anastasios and Papaschinopoulos Garyfalos: Study of a cyclic system of difference equations with maximum. (2020)
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Abstract
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.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2020 |
| Number: | 39 |
| ISSN: | 1417-3875 |
| DOI: | 10.14232/ejqtde.2020.1.39 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 11-14. ; összefoglalás angol nyelven |
| Date Deposited: | 2020. Nov. 30. 13:19 |
| Last Modified: | 2021. Oct. 20. 13:52 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/70152 |
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