A model of competition

• Autorzy: Peter Kahlig
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34A05: Explicit solutions and reductions
• 39B12: Iteration theory, iterative and composite equations
• 39B22: Equations for real functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2012
• Tom: 39
• Numer: 3
• Strony: 293-303

Daty

wydano

2012

Twórcy

autor

Peter Kahlig

• A-1120 Vienna, Austria

Identyfikatory

DOI

10.4064/am39-3-4