On the solutions of a higher‐order difference equation in terms of generalized Fibonacci sequences

By Yacine Halim, Mustafa Bayram. 2016

49 citations recorded by the source corpus.

This paper deals with the solutions, stability character, and asymptotic behavior of the difference equation xn+1=αβ+γxn−k;n∈N0, where N0=N∪0,α,β,γ,∈R∗+ and the initial values x−k,x−k + 1,…,x0 are nonzero real numbers, such that their solutions are associated to Horadam numbers. Copyright © 2015 John Wiley & Sons, Ltd.

Subfields: Geometry and Topology, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/657a51299979d4954e6358350ddcd19e85b02f19

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In Geometry and Topology

1. S. Stević
2. Bratislav Iricanin
3. Zdenek Smarda
4. Witold Kosmala
5. Songxiao Li
6. Lothar Berg

In Modeling and Simulation

1. Bratislav Iricanin
2. Zdenek Smarda
3. Witold Kosmala
4. S. Stević

In Statistical and Nonlinear Physics

1. Bratislav Iricanin
2. Zdenek Smarda
3. Witold Kosmala
4. S. Stević

Citations in the corpus

• Note on the bilinear difference equation with a delay (2018, methodology): “Replacing m by m + 1 in (41) and using the change of variables i = k + 1 − j, j = 0, k, we obtain”