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Linear differential difference equations
Properties of the solution map
11 other sections not shown
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