Geodesic
A model of competition
Peter Kahlig1
1 A-1120 Vienna, Austria
Applicationes Mathematicae, Tome 39 (2012) no. 3, pp. 293-303.

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

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 $C = 0.917\ldots$ (inherent in the model) is shown to be a transcendental number.
DOI : 10.4064/am39-3-4
Keywords: competition model described nonlinear first order differential equation riccati type its solution construct functional equation variables admitting essentially solution several iterative functional equations their continuous solutions presented various forms closed form power series integral representation asymptotic expansion continued fraction constant ldots inherent model shown transcendental number

Peter Kahlig 1

1 A-1120 Vienna, Austria 
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Peter Kahlig. A model of competition. Applicationes Mathematicae, Tome 39 (2012) no. 3, pp. 293-303. doi : 10.4064/am39-3-4. http://geodesic.mathdoc.fr/articles/10.4064/am39-3-4/

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