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A method for determining constants in the linear combination of exponentials

Jiří Cerha (1996)

Mathematica Bohemica

Shifting a numerically given function b 1 exp a 1 t + + b n exp a n t we obtain a fundamental matrix of the linear differential system y ˙ = A y with a constant matrix A . Using the fundamental matrix we calculate A , calculating the eigenvalues of A we obtain a 1 , , a n and using the least square method we determine b 1 , , b n .

A model for gene activation.

Oppenheimer, Seth F., Fan, Ruping, Pruett, Stephan (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

A model of competition

Peter Kahlig (2012)

Applicationes Mathematicae

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....

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