Integral Equations and Operator Theory

, Volume 47, Issue 1, pp 91–121

Large Time Behaviour of Linear Functional Differential Equations

Original paper

DOI: 10.1007/s00020-003-1155-x

Cite this article as:
Frasson, M.V. & Verduyn Lunel, S.M. Integr. equ. oper. theory (2003) 47: 91. doi:10.1007/s00020-003-1155-x


The aim of this paper is to show that the spectral theory for linear autonomous and periodic functional differential equations yields explicit formulas for the large time behaviour of solutions. Our results are based on resolvent computations and Dunford calculus and yield insight, new proofs and generalizations of results that have recently appeared in the literature.

Mathematics Subject Classification (2000):



CR-structuresLarge time behaviourspectral projectioncharacteristic equationDunford calculus

Copyright information

© Birkhäuser-Verlag 2003

Authors and Affiliations

  • Miguel V. S. Frasson
    • 1
  • Sjoerd M. Verduyn Lunel
    • 1
  1. 1.Mathematisch InstituutUniversiteit LeidenRAThe Netherlands