On a functional equation with derivative and symmetrization

Adam Bobrowski, and Małgorzata Kubalińska. "On a functional equation with derivative and symmetrization." Annales Polonici Mathematici 89.1 (2006): 13-24. <http://eudml.org/doc/280224>.

@article{AdamBobrowski2006,
abstract = {We study existence, uniqueness and form of solutions to the equation $αg - βg^\{\prime \} + γg_\{e\} = f$ 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.},
author = {Adam Bobrowski, Małgorzata Kubalińska},
journal = {Annales Polonici Mathematici},
keywords = {functional equation; differential equation; Cauchy problem; semigroups of operators; genetic drift},
language = {eng},
number = {1},
pages = {13-24},
title = {On a functional equation with derivative and symmetrization},
url = {http://eudml.org/doc/280224},
volume = {89},
year = {2006},
}

TY - JOUR
AU - Adam Bobrowski
AU - Małgorzata Kubalińska
TI - On a functional equation with derivative and symmetrization
JO - Annales Polonici Mathematici
PY - 2006
VL - 89
IS - 1
SP - 13
EP - 24
AB - We study existence, uniqueness and form of solutions to the equation $αg - βg^{\prime } + γg_{e} = f$ 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.
LA - eng
KW - functional equation; differential equation; Cauchy problem; semigroups of operators; genetic drift
UR - http://eudml.org/doc/280224
ER -