53 citations · 89 across the 7 of their papers we have counts for
8 papers
Probabilistic approach to a cell growth model
Gregory Derfel, Yaqin Feng, Stanislav Molchanov
We consider the time evolution of the supercritical Galton-Watson model of branching particles with extra parameter (mass). In the moment of the division the mass of the particle (…
On the asymptotic behaviour of the zeros of solutions of one functional-differential equation with rescaling
Gregory Derfel, Peter J. Grabner, Robert F. Tichy
We study the asymptotic behaviour of the solutions of a functional- differential equation with rescaling, the so-called pantograph equation. From this we derive asymptotic informat…
Analysis of the archetypal functional equation in the non-critical case
Leonid V. Bogachev, Gregory Derfel, Stanislav A. Molchanov
We study the archetypal functional equation of the form (), where is a probability measure on…
On bounded continuous solutions of the archetypal equation with rescaling
Leonid V. Bogachev, Gregory Derfel, Stanislav A. Molchanov
The `archetypal' equation with rescaling is given by (), where is a probability measure; equiv…
Laplace Operators on Fractals and Related Functional Equations
Gregory Derfel, Peter Grabner, Fritz Vogl
We give an overview over the application of functional equations, namely the classical Poincaré and renewal equations, to the study of the spectrum of Laplace operators on self-sim…
Complex asymptotics of Poincaré functions and properties of Julia sets
Gregory Derfel, Peter J. Grabner, Fritz Vogl
The asymptotic behaviour of the solutions of Poincaré's functional equation () for a real polynomial of degree is studied in angular regions of the…