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

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

2011-11-02

arxiv.org/abs/1111.0608v2

Mathematics

Classical Analysis and ODEs

9 pages. Submitted to a Journal

Scientific paper

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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