On a functional equation with derivative and symmetrization

• Autorzy: Adam Bobrowski , Małgorzata Kubalińska
• Języki publikacji: EN

Abstrakty

EN

We study existence, uniqueness and form of solutions to the equation $αg - βg' + γg_{e} = f$ 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.

Kategorie tematyczne

• 47D03: Groups and semigroups of linear operators
• 92D10: Genetics
• 39B05: General
• 60G35: Signal detection and filtering

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2006
• Tom: 89
• Numer: 1
• Strony: 13-24

Daty

wydano

2006

Twórcy

autor

Adam Bobrowski

• Institute of Mathematics, Polish Academy of Sciences, Katowice branch, Bankowa 14, 40-007 Katowice, Poland
• Department of Mathematics, Faculty of Electrical Engineering, and Computer Science, Lublin University of Technology, Nadbystrzycka 38A, 20-618 Lublin, Poland

autor

Małgorzata Kubalińska

• Department of Computer Sciences, Faculty of Management, and Fundamentals of Technology, Lublin University of Technology, Nadbystrzycka 38, 20-618 Lublin, Poland

Identyfikatory

DOI

10.4064/ap89-1-2