On a functional equation with derivative and symmetrization

Adam Bobrowski; Małgorzata Kubalińska

Annales Polonici Mathematici, Tome 89 (2006), p. 13-24 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 2006-01-01

Zbl 1156.34338

EUDML-ID : urn:eudml:doc:280224

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     author = {Adam Bobrowski and Ma\l gorzata Kubali\'nska},
     title = {On a functional equation with derivative and symmetrization},
     journal = {Annales Polonici Mathematici},
     volume = {89},
     year = {2006},
     pages = {13-24},
     zbl = {1156.34338},
     language = {en},
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Adam Bobrowski; Małgorzata Kubalińska. On a functional equation with derivative and symmetrization. Annales Polonici Mathematici, Tome 89 (2006) pp. 13-24. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap89-1-2/