Introduction to Functional Differential EquationsBuilds on an earlier work by J. Hale, Theory of Functional Differential Equations, 1977. Approximately one-third of the material is left intact. A completely new presentation of linear systems for retarded and neutral functional differential equations is given. The theory of dissipative systems and global attractors is completely redone as well as the invariant manifold theory near equilibrium points and periodic orbits. A more complete theory of neutral equations is presented, and a new guide to active topics of research is added. Annotation copyright by Book News, Inc., Portland, OR |
Contents
Periodic systems | 10 |
Linear differential difference equations | 11 |
2 | 29 |
Copyright | |
15 other sections not shown
Other editions - View all
Introduction to Functional Differential Equations Jack K. Hale,Sjoerd M. Verduyn Lunel Limited preview - 2013 |
Introduction to Functional Differential Equations Jack K. Hale,Sjoerd M. Verduyn Lunel Limited preview - 1993 |
Introduction to Functional Differential Equations Jack K. Hale,Sjoerd M. Verduyn Lunel No preview available - 2013 |
Common terms and phrases
asymptotically stable attracts compact sets autonomous Ax(t Banach space bifurcation bounded sets bounded variation Bx(t Chapter characteristic equation characteristic multiplier compact set continuous function continuously differentiable convergent Corollary defined definition delay denotes derivative differential difference equations discrete dynamical system eigenvalues equa Equation 1.1 equilibrium point equivalent example existence exponential finite fixed point following result functional differential equations given global attractor Hale hypotheses implies initial data interval invariant set Laplace transform Lemma Liapunov functionals manifold matrix neighborhood NFDE NFDE(D obtain one-to-one ordinary differential equations periodic orbit periodic solutions perturbation point dissipative precompact problem proof of Theorem properties prove RFDE RFDE(ƒ satisfies Equation scalar Section semigroup small solutions solution of Equation solution operator subset Suppose Theorem 3.1 theory tion uniformly asymptotically stable variation-of-constants formula vector w-periodic process