Displaying similar documents to “Note to the paper 'A model of competition' (Appl. Math. (Warsaw) 39 (2012), 293-303)”

A model of competition

Peter Kahlig (2012)

Applicationes Mathematicae

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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...

When a first order T has limit models

Saharon Shelah (2012)

Colloquium Mathematicae

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We sort out to a large extent when a (first order complete theory) T has a superlimit model in a cardinal λ. Also we deal with related notions of being limit.