A model of competition

Peter Kahlig

Applicationes Mathematicae (2012)

  • Volume: 39, Issue: 3, page 293-303
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Peter Kahlig. "A model of competition." Applicationes Mathematicae 39.3 (2012): 293-303. <http://eudml.org/doc/280003>.

@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 -

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