This book groups material that was used for the Marrakech 2002 School on Delay Differential Equations and Applications. The school was held from September 9-21 2002 at the Semlalia College of Sciences of the Cadi Ayyad University, Marrakech, Morocco. 47 participants and 15 instructors originating from 21 countries attended the school.
This book is devoted to the theory of delay equations and applications.
It consists of four parts, preceded by an overview by Professor J.K. Hale. The first part concerns some general results on the quantitative aspects of non-linear delay differential equations, by Professor E. Ait Dads, and a linear theory of delay differential equations (DDE) by Professor F. Kappel. The second part deals with some qualitative theory of DDE : normal forms, centre manifold and Hopf bifurcation theory in finite dimension. This part groups the contributions of Professor T.
Faria, Doctor M. Ait Babram and Professor M.L. Hbid. The third part corresponds to the contributions of Professors O. Arino, E. Sanchez, T. Faria, M. Adimy and K. Ezzinbi. It is devoted to discussions on quantitative and qualitative aspects of functionnal differential equations
(FDE) in infinite dimension. The last part contains the contributions of Professors H.O. Walther, S. Ruan, L. Maniar and J. Arino.