On a functional equation with derivative and symmetrization
Tom 89 / 2006
Annales Polonici Mathematici 89 (2006), 13-24
MSC: Primary 39B05; Secondary 60G35, 92D10, 47D03.
DOI: 10.4064/ap89-1-2
Streszczenie
We study existence, uniqueness and form of solutions to the equation $\alpha g - \beta g' + \gamma g_{\rm e} = f $ where $\alpha, \beta, \gamma $ and $f$ are given, and $g_{\rm e}$ stands for the even part of a searched-for differentiable function $g$. This equation emerged naturally as a result of the analysis of the distribution of a certain random process modelling a population genetics phenomenon.
