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Solvability of eight classes of nonlinear systems of difference equations
Author(s) -
Stević Stevo,
Tollu Durhasan T.
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5625
Subject(s) - mathematics , nonlinear system , pure mathematics , mathematical analysis , combinatorics , quantum mechanics , physics
We have studied recently solvability and semi‐cycles of eight systems of difference equations of the following form:x n = a + p n − 1q n − 2p n − 1 + q n − 2,y n = a + r n − 1s n − 2r n − 1 + s n − 2, n ∈ N 0 , where a ∈ [0, + ∞ ), the sequences p n , q n , r n , s n are some of the sequences x n and y n , with positive initial values x − j , y − j , j = 1,2, in detail. This paper is devoted to the study of the other eight systems of the form. We show that these systems are also solvable in closed form and describe semi‐cycles of their solutions complementing our previous results on such systems of difference equations.