A Mellin transform solution to a second-order pantograph equation with linear dispersion arising in a cell growth model (original) (raw)

European Journal of Applied Mathematics, 2011

Abstract

In this paper we study the probability density function solutions to a second-order pantograph equation with a linear dispersion term. The functional equation comes from a cell growth model based on the Fokker–Planck equation. We show that the equation has a unique solution for constant positive growth and splitting rates and construct the solution using the Mellin transform.

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