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- Title
On a solvable difference equations system of second order its solutions are related to a generalized Mersenne sequence.
- Authors
Hassani, Murad Khan; Touafek, Nouressadat; Yazlik, Yasin
- Abstract
In this paper, we consider a class of two-dimensional nonlinear difference equations system of second order, which is a considerably extension of some recent results in the literature. Our main results show that class of system of difference equations is solvable in closed form theoretically. It is noteworthy that the solutions of aforementioned system are associated with generalized Mersenne numbers. The asymptotic behavior of solution to aforementioned system of difference equations when a = b and p = 0 are also given. Finally, numerical examples are given to support the theoretical results presented in this paper.
- Subjects
NONLINEAR difference equations; NONLINEAR equations; DIFFERENCE equations; CLASS differences
- Publication
Mathematica Slovaca, 2024, Vol 74, Issue 3, p703
- ISSN
0139-9918
- Publication type
Article
- DOI
10.1515/ms-2024-0053