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On a functional equation with derivative and symmetrization

Adam Bobrowski, Małgorzata Kubalińska (2006)

Annales Polonici Mathematici

We study existence, uniqueness and form of solutions to the equation α g - β g ' + γ g e = f where α, β, γ and f are given, and g 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.

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