A model of competition

@article{PeterKahlig2012,
abstract = {A competition model is described by a nonlinear first-order differential equation (of Riccati type). Its solution is then used to construct a functional equation in two variables (admitting essentially the same solution) and several iterative functional equations; their continuous solutions are presented in various forms (closed form, power series, integral representation, asymptotic expansion, continued fraction). A constant C = 0.917... (inherent in the model) is shown to be a transcendental number.},
author = {Peter Kahlig},
journal = {Applicationes Mathematicae},
keywords = {ordinary differential equation of Riccati type; competition model; functional equations; cloud physics},
language = {eng},
number = {3},
pages = {293-303},
title = {A model of competition},
url = {http://eudml.org/doc/280003},
volume = {39},
year = {2012},
}

TY - JOUR
AU - Peter Kahlig
TI - A model of competition
JO - Applicationes Mathematicae
PY - 2012
VL - 39
IS - 3
SP - 293
EP - 303
AB - A competition model is described by a nonlinear first-order differential equation (of Riccati type). Its solution is then used to construct a functional equation in two variables (admitting essentially the same solution) and several iterative functional equations; their continuous solutions are presented in various forms (closed form, power series, integral representation, asymptotic expansion, continued fraction). A constant C = 0.917... (inherent in the model) is shown to be a transcendental number.
LA - eng
KW - ordinary differential equation of Riccati type; competition model; functional equations; cloud physics
UR - http://eudml.org/doc/280003
ER -