Delay Differential Equations and Applications

List of figures. Preface. Contributing Authors. Introduction.- 1. History of Delay Equations; J.K. Hale.- Part I General Results and Linear Theory of Delay Equations in Finite Dimensional Spaces. 2. Some General Results and Remarks on Delay Differential Equations; E. Ait Dads. 3. Linear Autonomous Functional Differential Equations; F. Kappel.- Part II Hopf Bifurcation, Centre Manifolds and Normal Forms for Delay Differential Equations. 4. Variation of Constant Formula for Delay Differential Equations; M.L. Hbid, K. Ezzinbi. 5. Introduction to Hopf Bifurcation Theory for Delay Differential Equations; M.L. Hbid. 6. An Algorithmic Scheme for Approximating Center Manifolds and Normal Forms for Functional Differential Equations; M. Ait Babram. 7. Normal Forms and Bifurcations for Delay Differential Equations; T. Faria.- Part III Functional Differential Equations in Infinite Dimensional Spaces. 8. A Theory of Linear Delay Differential Equations in Infinite Dimensional Spaces; O. Arino, E. Sanchez. 9. The Basic Theory of Abstract Semilinear Functional Differential Equations with Non-Dense Domain; K. Ezzinbi, M. Adimy.- Part IV More on Delay Differential Equations and Applications. 10. Dynamics of Delay Differential Equations; H.O. Walther. 11. Delay Differential Equations in Single Species Dynamics; Sh. Ruan. 12. Well-Posedness, Regularity and Asymptotic Behaviour of Retarded Differential Equations by Extrapolation Theory; L. Maniar.- References.- Index.