Sjoerd M. Verduyn Lunel
January 2016
Publications
Books
1. J.K. Hale and S.M. Verduyn Lunel, Introduction to Functional Differential Equations, SpringerVerlag, New York, Applied Mathematical Sciences Vol. 99, 1993. MR 94m:34169.
2. O. Diekmann, S.A. van Gils, S.M. Verduyn Lunel and H.O. Walther, Delay Equations:
Functional-, Complex-, and Nonlinear Analysis, Springer-Verlag, New York, Applied
Mathematical Sciences Vol. 110, 1995. MR 97a:34001.
Proceedings
3. A.M. Cohen, L.J. van Gastel and S.M. Verduyn Lunel, Computer Algebra in Industry II, John
Wiley & Sons, Chichester, 1995.
4. S.J. van Strien and S.M. Verduyn Lunel, Stochastic and spatial structures of dynamical systems,
North-Holland, Amsterdam, Koninklijke Nederlandse Akademie van Wetenschappen
Verhandelingen, Afd. Natuurkunde, Eerste Reeks, deel 45, 1996. MR 2001b:37006.
5. F. Dumortier, H. Broer, J. Mawhin, A. Vanderbauwhede and S.M. Verduyn Lunel (editors),
Equadiff 03, International Conference on Differential Equations, World Scientific, 2005.
Papers in Journals and Proceedings
6. S.M. Verduyn Lunel, A sharp version of Henry's theorem on small solutions, J. Differential Eqns
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62 (1986), 266-274. MR 87e:34140.
S.M. Verduyn Lunel, Complex analytical methods in RFDE theory, In: Dynamics of Infinite
Dimensional Systems (eds. S.-N. Chow and J.K. Hale), Series F: 37, Springer-Verlag, New York,
1987, pp. 141-150. MR 89e:34111.
S.M. Verduyn Lunel, Exponential type calculus for linear delay equations, Centre for
Mathematics and Computer Science, Tract No. 57 Amsterdam 1989. MR 90j:34099.
S.M. Verduyn Lunel, Series expansions and small solutions for Volterra equations of convolution
type, J. Differential Eqns. 85 (1990), 17-53. MR 91c:45004.
S.M. Verduyn Lunel, The geometric structure of the solution map of linear delay equations, In:
Bifurcation Phenomena in Nonlinear Systems and Theory of Dynamical Systems (ed. H.
Kawakami), Advanced Series in Dynamical Systems, Vol. 8, World Scientific, Singapore 1990,
pp. 41-60. MR 91i:34079.
J.K. Hale and S.M. Verduyn Lunel, Averaging in infinite dimensions, J. Integral Eqns. Appl. 2
(1990), 463-494. MR 92d:34128.
S.M. Verduyn Lunel, The closure of the generalized eigenspace of a class of infinitesimal
generators, Proc. Roy. Soc. Edinburgh Sect. A 117A (1991), 171-192. MR 92c:47048.
M. Bertsch, L.A. Peletier and S.M. Verduyn Lunel, Stabilizing effects for an adiabatic rectilinear
shearing of an incompressible viscous fluid, SIAM J. Math. Anal. 22 (1991) 328-343. MR
92a:76036.
J.K. Hale and S.M. Verduyn Lunel, The effect of rapid oscillations in the dynamics of delay
equations, In: Mathematical population dynamics (eds. O. Arino, D.E. Axelrod and M. Kimmel),
Lecture notes in pure and applied mathematics, Vol. 131, Marcel Dekker, New York, 1991, pp.
211-217. MR 94f:34138.
J.K. Hale and S.M. Verduyn Lunel, Averaging in FDE and PDE, In: P roceedings of the
international symposium on functional differential equations, Kyoto, Japan (eds. T. Yoshizawa et
al), W orld Scientific, Singapore, 1991, pp. 102-114. MR 97b:34073.
16. O. Diekmann and S.M. Verduyn Lunel, A new short proof of an old folk theorem in functional
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differential equations, In: Semigroup theory and evolution equations (eds. Philippe Clément, Enzo
Mitidieri and Ben de Pagter), Lecture notes in pure and applied mathematics, Vol. 135, Marcel
Dekker, New York, 1991, pp. 101-107. MR 93b:34080.
S.M. Verduyn Lunel, Small solutions and completeness for linear functional differential
equations, In: Oscillations and Dynamics in Delay Equations (eds. J.R. Graef and J.K. Hale),
Contemporary Mathematics Vol. 129, Amer. Math. Soc., Providence, 1992, pp. 127-152. MR
93h:47083.
M.A. Kaashoek and S.M. Verduyn Lunel, Characteristic matrices and spectral properties of
evolutionary systems, Trans. Amer. Math. Soc. 334 (1992), 479-517. MR 93e:47015.
A.G. Schlijper and S.M. Verduyn Lunel, Higher order interactions in statistical mechanics, In:
Computer Algebra in Industry (ed. A.M. Cohen), John Wiley & Sons, Chichester, 1993, pp. 87100.
R.M. Aarts and S.M. Verduyn Lunel, Symbolic analysis of loudspeaker cross over filters, In:
Computer Algebra in Industry (ed. A.M. Cohen), John Wiley & Sons, Chichester, 1993, pp. 179186.
K.L. Cooke and S.M. Verduyn Lunel, Distributional and small solutions for linear time-dependent
delay equations, Differential Integral Eqn. 6 (1993), 1101-1117. MR 94h:34084.
B. Lehman, J. Bentsman, S.M. Verduyn Lunel and E.I. Verriest, Vibrational control of nonlinear
time lag systems with arbitrary large but bounded delay: averaging theory, stabilizability, and
transient behavior, IEEE Transactions on Automatic Control 39 (1994), 898-913. MR 95i:93055.
M.A. Kaashoek and S.M. Verduyn Lunel, An integrability condition on the resolvent for
hyperbolicity of the semigroup, J. Differential Eqns. 112 (1994), 374-406. MR 95k:47059.
S.M. Verduyn Lunel, Series expansions for functional differential equations, Integral Equations
and Operator Theory 22 (1995), 93-123. MR 96f:34095.
S.M. Verduyn Lunel, About completeness for a class of unbounded operators, J. Differential Eqns.
120 (1995), 108-132. MR 96f:34096.
S.M. Verduyn Lunel, A resolvent computation related to completeness for unbounded operators,
In: Boundary Value Problems for Functional Differential Equations (ed. J. Henderson), World
Scientific, Singapore, 1995, pp. 215-226. MR 97b:34073.
S.M. Verduyn Lunel, Small solutions for linear delay equations, In: Differential Equations and
Applications to Biology and to Industry (eds. M. Martinelli, K. Cooke, E. Cumberbatch, B. Tang
and H. Thieme), World Scientific, Singapore, 1996, 531-541.
S.M. Verduyn Lunel and D.V. Yakubovich, A functional model approach to linear neutral
functional differential equations, Integral Equations and Operator Theory 27 (1997), 347-378.
MR 98g:34127.
G. Fusco and S.M. Verduyn Lunel, Order structures and the heat equation, J. Differential Eqns.
139 (1997), 104-145. MR 98j:35075.
R.D. Nussbaum, M. Scheutzow and S.M. Verduyn Lunel, Periodic points of nonexpansive maps
and nonlinear generalizations of the Perron-Frobenius theory, Selecta mathematica, New ser. 4
(1998), 141-181. MR 2000k:47076.
R.D. Nussbaum and S.M. Verduyn Lunel, Generalizations of the Perron-Frobenius theorem for
nonlinear maps, Memoirs of the American Mathematical Society 138 (659) 1999, pp. 1-98. MR
99i:58125.
T.L. van Noorden, S.M. Verduyn Lunel and A. Bliek, Direct determination of cyclic steady states
of cyclically operated packed bed reactors, In: Scientific Computing for Chemical Engineering
(eds. F. Keil, W. Mackens, H. Voss and J. Werner), Springer-Verlag, Berlin, 1999, pp.
311-318.
33. T.L. van Noorden, S.M. Verduyn Lunel and A. Bliek, Direct determination of periodic
states of cyclically operated packed bed reactors, In: Reaction kinetics and the
development and operation of catalic processes, Oostende (Belgium), April 22-25, 2000
(eds. G.F. Froment and K.C. Waugh), Elsevier, Amsterdam, 2000, pp. 263-270.
34. S.M. Verduyn Lunel, The iteration of nonexpansive maps, In: Infinite Dimensional
Stochastic Analysis (eds. Ph. Clément, F. den Hollander, J. van Neerven en B. de Pagter),
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Koninklijke Nederlandse Akademie van Wetenschappen, Verhandelingen, Afd. Natuurkunde,
Eerste Reeks, deel 52, North-Holland, Amsterdam, 2000, pp. 269-282. MR 2002e:39066.
J.K. Hale and S.M. Verduyn Lunel, Effects of time delays on the dynamics of feedback systems, In:
Equadiff 99, International Conference on Differential Equations, Berlin 1999 (eds. B. Fiedler, K.
Gröger and J. Sprekels), World Scientific, Singapore, 2000, pp. 257-266.
S.M. Verduyn Lunel and B. Krauskopf, The mathematics of delay equations with an application to
the Lang-Kobayashi equation, In: Fundamental Issues of Nonlinear Laser Dynamics (eds. B.
Krauskopf and D. Lenstra), AIP Conference Proceedings, volume 548, American Institute of
Physics, Melville, New York, 2000, pp. 66-86.
S.M. Verduyn Lunel, Inverse problems for nonself-adjoint evolutionary systems, In: Topics in
Functional Differential and Difference Equations (eds. T. Faria and P. Freitas), Fields Institute
Communications, Vol. 29, American Mathematical Society, 2001, pp. 321-347. MR 2002c:47026.
S.M. Verduyn Lunel, Parameter identifiability of differential delay equations, Int. J. Adapt.
Control Signal Process. 15 (2001), 655-678.
D. Estep, S.M. Verduyn Lunel and R. Williams, Analysis of shear layers in a fluid with
temperature-dependent viscosity, Journal of Computational Physics 173 (2001), 17-60.
J.K. Hale and S.M. Verduyn Lunel, Effects of small delays on stability and control, In: Operator
Theory and Analysis, The M.A. Kaashoek Anniversary Volume (eds. H. Bart, I. Gohberg and
A.C.M. Ran), Operator Theory: Advances and Applications 122, Birkhäuser, 2001, pp. 275-301.
MR 2002e:93043.
B. Lemmens, R. Nussbaum and S.M. Verduyn Lunel, Lower and upper bounds for omega-limit
sets of nonexpansive maps, Indag. Mathem., N.S. 12 (2001), 191-211. MR 2003c:37020.
T.L. van Noorden, S.M. Verduyn Lunel and A. Bliek, Direct determination of periodic states of
cyclically operated packed bed reactors, In: Reaction kinetics and the development and operation
of catalic processes (eds. G.F. Froment and K.C. Waugh), Elsevier, Amsterdam, 2001 pp. 263270.
S.M. Verduyn Lunel, Spectral theory for delay equations, In: Systems, Approximation, Singular
Integral Operators, and Related Topics", International Workhop on Operator Theory and
Applications, IWOTA 2000 (eds. Alexander A. Borichev and Nikolai K. Nikolski), Operator
Theory: Advances and Applications, Vol. 129, Birkhäuser, 2001, pp. 465-508. MR 2003a:34104.
T.L. van Noorden, S.M. Verduyn Lunel and A. Bliek, Acceleration of the determination of
periodic states of cyclically operated reactors, Chemical Engineering Science 57 (2002), 10411055.
J.K. Hale and S.M. Verduyn Lunel, Strong stabilization of neutral functional differential
equations, IMA Journal Math. Control Inform. 19 (2002), 5-23. MR 2003h:93062.
O. van Gaans and S.M. Verduyn Lunel, Invariant measures for dichotomous stochastic
differential equations in Hilbert spaces, C.R. Acad. Sci. Paris Ser. I 334 (2002), 1083-1088. MR
2003h:60086.
N.J. Ford and S.M. Verduyn Lunel, Characterising small solutions in delay differential equations
through numerical approximations, Applied Mathematics and Computation 131 (2002), 253-270.
MR 2003f:34119.
T.L. van Noorden, S.M. Verduyn Lunel and A. Bliek, The efficient computation of periodic states
of cyclically operated chemical processes, IMA J. Appl. Math. 68 (2003), 149-166. MR
2004b:92048.
S.M. Verduyn Lunel, Spectral theory for neutral delay equations with applications to control
and stabilization, In: Mathematical Systems Theory in Biology, Communications, Computation,
and Finance (eds. J. Rosenthal and D.S. Gilliam), The IMA Volumes in Mathematics and its
Applications, Vol. 134, Springer, 2003, pp. 415-468. MR 2005i:34107.
M.V.S. Frasson and S.M. Verduyn Lunel, Large time behaviour of linear functional differential
equations, Integral Equations and Operator Theory 47 (2003), 91-121. MR 2004j:34141.
T.L. van Noorden, S.M. Verduyn Lunel and A. Bliek, Optimization of cyclically operated reactors
and separators, Chemical Engineering Science 58 (2003), 4115-4127.
52. R.D. Nussbaum and S.M. Verduyn Lunel, Asymptotic estimates for the periods of periodic points
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of nonexpansive maps, Ergodic Theory Dynam. Systems 23 (2003), 1199-1226. MR
2004m:37033.
J.K. Hale and S.M. Verduyn Lunel, Stability and control of feedback systems with time delays,
Internal. J. Systems Sci. 34 (2003), 497-504. MR 2005a:34112.
O.W. van Gaans and S.M. Verduyn Lunel, Long term behavior of dichotomous stochastic
differential equations in Hilbert spaces, Commun. Contemp. Math. 25 (2004), 349-376. MR
2005e:60140.
T.L. van Noorden and S.M. Verduyn Lunel, A Broyden rank p+1 update continuation method with
subspace iteration, SIAM J. Sci. Comput. 25 (2004), 1921-1940. MR 2005h:65085.
S.M. Verduyn Lunel, Basic theory for linear delay equations, In: Advances in time-delay systems,
Lect. Notes Comput Sci Eng 38 Springer, Berlin, 2004, pp. 3-27. MR 2005i:34076.
D.J. Estep, S.M. Verduyn Lunel and R.D. Williams, The formation of shear layers in a fluid with
temperature-dependent viscosity, In: Equadiff 03, International Conference on Differential
Equations, Hasselt 2003, Singapore: World Scientific, 2005, pp. 169-174.
Mallet-Paret, J. and S.M. Verduyn Lunel, Mixed-type functional differential equations,
holomorphic factorization and applications, In: Equadiff 03, International Conference on
Differential Equations, Hasselt 2003, Singapore: World Scientific, 2005, pp. 73-90.
B.A. van de Rotten, and S.M. Verduyn Lunel, A limited memory Broyden method to solve highdimensional systems of nonlinear equations, In: Equadiff 03, International Conference on
Differential Equations, Hasselt 2003, Singapore: World Scientific, 2005, pp. 196-201.
H.J. Hupkes and S.M. Verduyn Lunel, Analysis of Newton's method to compute travelling waves
in discrete media, J. Dynam. Differential Equations 17 (2005), 523-572. MR 2006e:65129.
B.A. van de Rotten, S.M. Verduyn Lunel and A. Bliek, Efficient simulation of periodically forced
reactors with radial gradients, Chemical Engineering Science 61 (2006), 6981-6994.
H.J. Hupkes and S.M. Verduyn Lunel, Center manifold theory for functional differential equations
of mixed type, J. Dynam. Differential Equations 19 (2007), 497-560. MR 2008c:34156.
H.J. Hupkes, E. Augeraud-Véron and S.M. Verduyn Lunel, Center projections for smooth
difference equations of mixed type, J. Differential Equations 244 (2008), no. 4, 803--835.MR
2008m:39029.
H.J. Hupkes and S.M. Verduyn Lunel, Center manifolds for periodic functional differential
equations of mixed type, J. Differential Equations 245 (2008), 1526--1565. MR 2009i:34164.
H. J. Hupkes and S. M. Verduyn Lunel, Lin's method and homoclinic bifurcations for functional
differential equations of mixed type, Indiana Univ. Math. J. 58 (2009), 2433-2488. MR
2011d:34147.
J. Bierkens, O.W. van Gaans and S.M. Verduyn Lunel, Existence of an invariant measure for
stochastic evolutions driven by an eventually compact semigroup. J. Evol. Equ. 9 (2009), 771-786.
MR 2011d:60197.
A.E.H. Scheenstra. M. Muskulus, M. Staring, A.M.J.V. van den Maagdenberg, S.M. Verduyn
Lunel, J.H. Reiber, L. van der Weerd, J. Dijkstra, The 3D Moore-Rayleigh test for the quantitative
groupwise comparison of MR brain images, In: Prince JL, et al (Eds): Proceedings of the 21st
International Conference on Information Processing in Medical Imaging (IPMI'09), Lecture Notes
in Computer Science 5636 (2009), 564-575.
M. Muskulus, A.E.H. Scheenstra, N. Braakman, J. Dijkstra, S.M. Verduyn Lunel, A. Alia, H.J. de
Groot, J.H. Reiber, Prospects for early detection of Alzheimer's disease from serial MR images in
transgenic mouse models, Current Alzheimer Research 6 (2009), 503-518.
M. Muskulus, S. Houweling, S.M. Verduyn Lunel, A. Daffertshofer, Functional similarities and
distance properties, Journal of Neuroscience Methods 183 (2009), 31-41.
J. Bierkens, O.W. van Gaans and S.M. Verduyn Lunel, Estimate on the pathwise Lyapunov
exponent of linear stochastic differential equations with constant coefficients, Stoch. Anal. Appl.
28 (2010), 747-762. MR 2011k:93150.
M. Muskulus, A. Slats, P.J. Sterk and S.M. Verduyn Lunel, Fluctuations and determinism of
respiratory impedance in asthma and chronic obstructive pulmonary disease, J. Appl. Physiology
109 (2010), 1582-1591.
72. M. Muskulus and S.M. Verduyn Lunel, Wasserstein distances in the analysis of time series and
dynamical systems, Phys. D 240 (2011), 45-58. MR 2011k:37131.
73. M. Muskulus and S.M. Verduyn Lunel, Mathematical Modelling and Feature Extraction for
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Probing Crucial Changes Associated with Alzheimer's Disease, Cur. Med. Imaging Rev. 7 (2011),
43-50.
R. Nussbaum, A. Priyadarshi and S.M. Verduyn Lunel, Positive Operators and Hausdorff
Dimension of Invariant Sets, Trans. Amer. Math. Soc. 364 (2012), 1029–1066.
G. Chen, O. van Gaans and S.M. Verduyn Lunel, Fixed points and pth moment exponential
stability of stochastic delayed recurrent neural networks with impulses. Appl. Math. Lett. 27
(2014), 36-42.
G. Chen, O. van Gaans and S.M. Verduyn Lunel, Asymptotic behavior and stability of second
order neutral delay differential equations, Indag. Math. 25 (2014), 405-426.
B.A. van de Rotten and S.M. Verduyn Lunel, A memory-efficient Broyden method to compute
fixed points of non-linear maps arising in periodically forced processes, IMA J. Appl. Math. 80
(2015), 585-607.
Other publications
78. D. Estep, S.M. Verduyn Lunel and R. Williams, Error estimation for numerical differential
equations, IEEE Antennas and Propagation Magazine 38 (1996), 71-76.
79. S.M. Verduyn Lunel, In beweging, VU Boekhandel/Uitgeverij Amsterdam, Oraties -- ISBN 905383-636-5, 1998.
80. S.M. Verduyn Lunel, De logica het werk laten doen, rede uitgesproken op 28 september 2001,
Universiteit Leiden, 2001.
Reports
81. S.M. Verduyn Lunel, Linear autonomous retarded functional differential equations, Centre for
Mathematics and Computer Science, Report AM-R8405, Amsterdam, 1984. MR 85h:34092.
82. O. Diekmann, M. Gyllenberg, H.R. Thieme and S.M. Verduyn Lunel, A cell-cycle model revisited,
Centrum voor Wiskunde en Informatica, AM-R9305,1993.
83. S.M. Verduyn Lunel, Identification problems in functional differential equations, Proceedings of
the 1997 IEEE Conference on Decision and Control, San Diego, 1997.
84. N.J. Ford, S.M. Verduyn Lunel, Numerical approximation of delay differential equations with
small solutions, In: Proceedings of 16th IMACS World Congress on Scientific Computation,
Applied Mathematics and Simulation, Lausanne 2000, paper 173-3, New Brunswick, (ISBN 39522075-1-9), 2000.
85. J. Mallet-Paret and S.M. Verduyn Lunel, Exponential dichotomies and Wiener-Hopf factorizations
for mixed-type functional differential equations, report MI 2001-17, Universiteit Leiden, 87 pages.
86. O. Diekmann and S.M. Verduyn Lunel, Jumps allowed: defining semigroups of operators via
solutions of Stieltjes renewal equations, preprint, Universiteit Utrecht, 38 pages.
87. M.A. Kaashoek and S.M. Verduyn Lunel, Completeness theorems, characteristic matrices and the
existence of small solutions for dynamical systems, Universiteit Utrecht, 133 pages.