Delay Differential Equations and Applications

Abstract

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.