Geodesic
On a functional equation with derivative and symmetrization
Adam Bobrowski1 ; Ma/lgorzata Kubali/nska2
1 Institute of Mathematics Polish Academy of Sciences Katowice branch Bankowa 14 40-007 Katowice, Poland and Department of Mathematics Faculty of Electrical Engineering and Computer Science Lublin University of Technology Nadbystrzycka 38A 20-618 Lublin, Poland
2 Department of Computer Sciences Faculty of Management and Fundamentals of Technology Lublin University of Technology Nadbystrzycka 38 20-618 Lublin, Poland
Annales Polonici Mathematici, Tome 89 (2006) no. 1, pp. 13-24.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap89-1-2
Keywords: study existence uniqueness form solutions equation alpha beta gamma where alpha beta gamma given stands even part searched for differentiable function equation emerged naturally result analysis distribution certain random process modelling population genetics phenomenon

Adam Bobrowski 1 ; Ma/lgorzata Kubali/nska 2

1 Institute of Mathematics Polish Academy of Sciences Katowice branch Bankowa 14 40-007 Katowice, Poland and Department of Mathematics Faculty of Electrical Engineering and Computer Science Lublin University of Technology Nadbystrzycka 38A 20-618 Lublin, Poland
2 Department of Computer Sciences Faculty of Management and Fundamentals of Technology Lublin University of Technology Nadbystrzycka 38 20-618 Lublin, Poland 
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Adam Bobrowski; Ma/lgorzata Kubali/nska. On a functional equation with derivative and symmetrization. Annales Polonici Mathematici, Tome 89 (2006) no. 1, pp. 13-24. doi : 10.4064/ap89-1-2. http://geodesic.mathdoc.fr/articles/10.4064/ap89-1-2/

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