## Introduction to Functional Differential Equations, Volume 99 |

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### Contents

Linear differential difference equations | 11 |

Basic theory | 38 |

Properties of the solution map | 67 |

Copyright | |

11 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 No preview available - 2013 |

### Common terms and phrases

asymptotically stable attractor Ax(t Banach space bounded sets bounded variation Bx(t Chapter characteristic equation characteristic multiplier compact set completely continuous consider the equation continuous function continuously differentiable convergent Corollary corresponding decomposition defined definition delays denotes derivative eigenspace eigenvalues equa Equation 1.1 equation x(t equilibrium point equivalent example existence exponential finite fixed point following result functional differential equations Furthermore given Hale Hopf bifurcation hyperbolic hypotheses implies initial data initial value integral equation interval invariant set Jordan chains Laplace transform Lemma Liapunov functionals linear equation linear operator manifold matrix neighborhood NFDE NFDE(D obtain one-to-one oo,oo ordinary differential equations periodic orbit periodic solution perturbation point dissipative positive constants precompact problem proof of Theorem properties RFDE roots scalar Section semigroup small solutions solution of Equation solution operator subset subspace Suppose Theorem 3.1 theory tion uniformly asymptotically stable unstable variation-of-constants formula w-periodic