Monotonicity of solutions to second order linear difference equations with constant coefficients
General Mathematics
2025-11-18 v1
Abstract
We describe some monotone properties of solutions to second order linear difference equations with real constant coefficients. As an application, we give a characterization of the Fibonacci numbers.
Cite
@article{arxiv.2511.11728,
title = {Monotonicity of solutions to second order linear difference equations with constant coefficients},
author = {Yoshiaki Goto and Genki Shibukawa},
journal= {arXiv preprint arXiv:2511.11728},
year = {2025}
}
Comments
14 pages, 8 figures