Monotonicity of solutions to second order linear difference equations with constant coefficients

Yoshiaki Goto; Genki Shibukawa

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arXiv · 2511.11728

Monotonicity of solutions to second order linear difference equations with constant coefficients

Yoshiaki Goto·Genki Shibukawa

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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.

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Yoshiaki Goto, Genki Shibukawa. 2025-11-13. Monotonicity of solutions to second order linear difference equations with constant coefficients. https://arxiv.org/abs/2511.11728

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