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 …
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 …
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 …
operators and study the precise connection between characteristic matrices and spectral …
Center manifold theory for functional differential equations of mixed type
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 …
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 …
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 …
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. …
I. Gohberg and ACM Ran, (eds) Operator Theory and Analysis (Birkhäuser) pp. …
Analysis of Newton's method to compute travelling waves in discrete media
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, …
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 …
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),…
M, L: L2 ([-h, 0], C)-+ C n are unbounded linear operators of certain type and xt (O)= x (t+ 0),…