Averaging in infinite dimensions

JK Hale, SMV Lunel - The Journal of integral equations and applications, 1990 - JSTOR
AVERAGING IN INFINITE DIMENSIONS Page 1 JOURNAL OF INTEGRAL EQUATIONS AND
APPLICATIONS Volume 2, Number 4, Fall 1990 AVERAGING IN INFINITE DIMENSIONS JK …

[PDF][PDF] Exponential dichotomies and Wiener-Hopf factorizations for mixed-type functional differential equations

J Mallet-Paret, SM Verduyn-Lunel - J. Diff. Eq., to appear, 2001 - Citeseer
We study linear systems of functional differential equations of mixed type, both autonomous
and (asymptotically hyperbolic) nonautonomous. Such equations arise naturally in various …

Characteristic matrices and spectral properties of evolutionary systems

MA Kaashoek, SM Verduyn Lunel - Transactions of the American …, 1992 - ams.org
In this paper we introduce the notion of a characteristic matrix for a large class of unbounded
operators and study the precise connection between characteristic matrices and spectral …

Center manifold theory for functional differential equations of mixed type

HJ Hupkes, SMV Lunel - Journal of Dynamics and Differential Equations, 2007 - Springer
We study the behaviour of solutions to nonlinear autonomous functional differential equations
of mixed type in the neighbourhood of an equilibrium. We show that all solutions that …

An integrability condition on the resolvent for hyperbolicity of the semigroup

MA Kaashoek, SMV Lunel - Journal of differential equations, 1994 - Elsevier
In this paper, we present necessary and sufficient conditions on the resolvent of the
generator of a strongly continuous semigroup in order that the corresponding semigroup is …

Large time behaviour of linear functional differential equations

MVS Frasson, SM Verduyn Lunel - Integral Equations and Operator Theory, 2003 - Springer
The aim of this paper is to show that the spectral theory for linear autonomous and periodic
functional differential equations yields explicit formulas for the large time behaviour of …

Stability and control of feedback systems with time delays

JK Hale, SMV Lunel - International Journal of Systems Science, 2003 - Taylor & Francis
… Hale JK Verduyn Lunel SM 2001 Effects of small delays on stability and control In H. Bart,
I. Gohberg and ACM Ran, (eds) Operator Theory and Analysis (Birkhäuser) pp. …

Analysis of Newton's method to compute travelling waves in discrete media

HJ Hupkes, SMV Lunel - Journal of Dynamics and Differential Equations, 2005 - Springer
We present a variant of Newton’s method for computing travelling wave solutions to scalar
bistable lattice differential equations. We prove that the method converges to a solution, …

Parameter identifiability of differential delay equations

SM Verduyn Lunel - … Journal of Adaptive Control and Signal …, 2001 - Wiley Online Library
Parameter identifiability is concerned with the question whether the parameters of a specific
model can be identified from knowledge about certain solutions of the model, assuming …

[PDF][PDF] A functional model approach to linear neutral functional differential equations

SM Verduyn Lunel, DV Yakubovich - Integral Equations and Operator …, 1997 - pure.uva.nl
We consider a linear neutral functional equation of the form d Mxt= Lxt, x (O)= c, xo=(p, where
M, L: L2 ([-h, 0], C)-+ C n are unbounded linear operators of certain type and xt (O)= x (t+ 0),…