An eigenvalue problem involving a functional differential equation arising in a cell growth model

Authors

  • Bruce van Brunt
  • Marijcke Vleig-Hulstman

DOI:

https://doi.org/10.21914/anziamj.v51i0.2289

Keywords:

pantograph equation, cell growth model

Abstract

We interpret a boundary-value problem arising in a cell growth model as a singular Sturm–Liouville problem that involves a functional differential equation of the pantograph type. We show that the probability density function of the cell growth model corresponds to the first eigenvalue and that there is a family of rapidly decaying eigenfunctions. doi:10.1017/S1446181110000866

Published

2011-05-03

Issue

Section

Articles for Printed Issues