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arXiv · 1111.0608

On solutions of $f(x)+f(a_1x)+...+f(a_Nx)=0$ and related equations

J. M. Almira·Kh. F. Abu-Helaiel
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Abstract

We study some properties of the solutions of the functional equation $$f(x)+f(a_1x)+...+f(a_Nx)=0,$$ which was introduced in the literature by Mora, Cherruault and Ziadi in 1999, for the case $a_k=k+1$, $k=1,2,...,N$ and studied by Mora in 2008 and Mora and Sepulcre in 2009 and 2011.

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J. M. Almira, Kh. F. Abu-Helaiel. 2011-11-02. On solutions of $f(x)+f(a_1x)+...+f(a_Nx)=0$ and related equations. https://arxiv.org/abs/1111.0608

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