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Books

  1. Introduction to Functional Differential Equations, Springer-Verlag, New York, Applied Mathematical Sciences Vol. 99, 1993 (with J.K. Hale), MR 94m:34169.

  2. Delay Equations: Functional-, Complex-, and Nonlinear Analysis, Springer-Verlag, New York, Applied Mathematical Sciences Vol. 110, 1995 (with O. Diekmann, S.A. van Gils and H.O. Walther), MR 97a:34001.

Proceedings

  1. Computer Algebra in Industry II, John Wiley and Sons, Chichester, 1995 (with A.M. Cohen and L.J. van Gastel).

  2. Stochastic and spatial structures of dynamical systems, North-Holland, Amsterdam, Koninklijke Nederlandse Akademie van Wetenschappen Verhandelingen, Afd. Natuurkunde, Eerste Reeks, deel 45, 1996 (with S.J. van Strien).

  3. Equadiff 03, International Conference on Differential Equations, World Scientific, 2005 (with F. Dumortier, H. Broer, J. Mawhin and A. Vanderbauwhede).

Papers

  1. A sharp version of Henry's theorem on small solutions, J. Differential Eqns 62 (1986), 266-274. MR 87e:34140.

  2. Complex analytical methods in RFDE theory, In: Dynamics of Infinite Dimensional Systems, Series F: 37 (editors S.-N. Chow and J.K. Hale), Springer-Verlag, New York, 1987, pp. 141-150, MR 89e:34111.

  3. Exponential type calculus for linear delay equations, Centre for Mathematics and Computer Science, Tract No. 57 Amsterdam, 1989 (Ph.D. thesis), MR 90j:34099.

  4. Series expansions and small solutions for Volterra equations of convolution type, J. Differential Eqns. 85 (1990), 17-53, MR 91c:45004.

  5. 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.

  6. Averaging in infinite dimensions, J. Integral Eqns. Appl. 2 (1990), 463-494 (with J.K. Hale), MR 92d:34128.

  7. 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
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  8. Stabilizing effects for an adiabatic rectilinear shearing of an incompressible viscous fluid, SIAM J. Math. Anal. 22 (1991) , 328-343 (with M. Bertsch and L.A. Peletier), MR 92a:76036.

  9. 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 (with J.K. Hale), MR 94f:34138.

  10. Averaging in FDE and PDE, In: Proceedings of the international symposium on functional differential equations, Kyoto, Japan (eds. T. Yoshizawa et al), World Scientific, Singapore, 1991, pp. 102-114 (with J.K. Hale).

  11. A new short proof of an old folk theorem in functional differential equations,In: Semigroup theory and evolution equations (eds. Philippe Cl\'ement, Enzo Mitidieri and Ben de Pagter), Lecture notes in pure and applied mathematics, Vol. 135, Marcel Dekker, New York, 1991, pp. 101-107 (with O. Diekmann), MR 93b:34080.

  12. 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 129 Amer. Math. Soc., Providence, 1992, pp. 127-152, MR 93h:47083.

  13. Characteristic matrices and spectral properties of evolutionary systems , Trans. Amer. Math. Soc. 334 (1992), 479-517 (with M.A. Kaashoek), MR 93e:47015.

  14. Distributional and small solutions for linear time-dependent delay equations, Differential Integral Eqn. 6 (1993), 1101-1117 (with K.L. Cooke),. MR 94h:34084.

  15. 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 (with B. Lehman, J. Bentsman and E.I. Verriest), MR 95i:93055.

  16. An integrability condition on the resolvent for hyperbolicity of the semigroup, J. Differential Eqns. 112 (1994), 374-406 (with M.A. Kaashoek), MR 95k:47059.

  17. Series expansions for functional differential equations, Integral Equations and Operator Theory 22 (1995), 93-123, MR 96f:34095.

  18. About completeness for a class of unbounded operators, J. Differential Eqns. 120 (1995), 108-132, MR 96f:34096.

  19. 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.

  20. 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, pp. 531-541.

  21. Error estimation for numerical differential equations, IEEE Antennas and Propagation Magazine 38 (1996), 71-76 (with D. Estep and R. Williams).

  22. A functional model approach to linear neutral functional differential equations, Integral Equations and Operator Theory 27 (1997), 347-378 (with D.V. Yakubovich), MR 98g:34127.

  23. Order structures and the heat equation, J. Differential Eqns. 139 (1997), 104-145 (with G. Fusco), MR 98j:35075.

  24. Periodic points of nonexpansive maps and nonlinear generalizations of the Perron-Frobenius theory, Selecta mathematica, New ser. 4 (1998), 141-181 (with R.D. Nussbaum and M. Scheutzow), MR 2000k:47076.

  25. Generalizations of the Perron-Frobenius theorem for nonlinear maps, Memoirs of the American Mathematical Society 138 (1999), number 659, 1-98 (with R.D. Nussbaum), MR 99i:58125.

  26. The iteration of nonexpansive maps, In: Infinite Dimensional Stochastic Analysis (eds. Ph. Clement, F. den Hollander, J. van Neerven en B. de Pagter), North-Holland, Amsterdam, Koninklijke Nederlandse Akademie van Wetenschappen Verhandelingen, Afd. Natuurkunde, Eerste Reeks, deel 52, 2000, 269-282

  27. Effects of time delays on the dynamics of feedback systems, In: Equadiff 99, International Conference on Differential Equations, Berlin 1999 (eds. B. Fiedler, K. Gr\"oger and J. Sprekels), World Scientific, Singapore, 2000, pp. 257-266 (with J.K. Hale)

  28. 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 (with B. Krauskopf).

  29. 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, Vol. 122, pp. 275-301. Birkh\"auser, 2001 (with J.K. Hale).

  30. 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, Providence, 2001, pp. 321-347.

  31. Parameter identifiability of differential delay equations, Int. J. Adapt. Control Signal Process. 15 (2001), 655-678.

  32. Analysis of shear layers in a fluid with temperature-dependent viscosity, Journal of Computational Physics 173 (2001), 17-60 (with D. Estep and R. Williams).

  33. 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, pp. 465-508. Birkh\"auser, 2001

  34. Lower and upper bounds for omega-limit sets of nonexpansive maps, Indag. Mathem., N.S. 12 (2001), 191-211 (with B. Lemmens and R. Nussbaum).

  35. Acceleration of the determination of periodic states of cyclically operated reactors, Chemical Engineering Science 57 (2002), 1041-1055 (with T.L. van Noorden and A. Bliek).

  36. Strong stabilization of neutral functional differential equations, IMA Journal Math. Control Inform. 19 (2002), 5-23 (with J.K. Hale).

  37. Invariant measures for dichotomous stochastic differential equations in Hilbert spaces, C.R. Acad. Sci. Paris Ser. I 334 (2002), 1083-1088 (with O. van Gaans).

  38. Characterising small solutions in delay differential equations through numerical approximations, Applied Mathematics and Computation 131 (2002), 253-270 (with N.J. Ford).

  39. The efficient computation of periodic states of cyclically operated chemical processes, IMA J. Appl. Math. 68 (2003), 149-166 (with T.L. van Noorden and A. Bliek).

  40. 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.

  41. Large time behaviour of linear functional differential equations, Integral Equations and Operator Theory 47 (2003), 91-121 (with M.V.S. Frasson).

  42. Optimization of cyclically operated reactors and separators, Chemical Engineering Science 58 (2003), 4115-4127 (with T.L. van Noorden and A. Bliek).

  43. Asymptotic estimates for the periods of periodic points of nonexpansive maps, Ergodic Theory Dynam. Systems 23 (2003), 1199-1226 (with R.D. Nussbaum).

  44. Stability and control of feedback systems with time delays, Internal. J. Systems Sci. 34 (2003), 497-504 (with J.K. Hale).

  45. Long term behavior of dichotomous stochastic differential equations in Hilbert spaces, Commun. Contemp. Math. 25 (2004), 349-376 (with O.W. van Gaans).

  46. A Broyden rank p+1 update continuation method with subspace iteration, SIAM J. Sci. Comput. 25 (2004), 1921-1940 (with T.L. van Noorden).

  47. Basic theory for linear delay equations, In: Advances in time-delay systems, Lect. Notes Comput Sci Eng 38 Springer, Berlin, 2004, pp. 3-27.

  48. The formation of shear layers in a fluid with temperature-dependent viscosity, In: Equadiff 03, International Conference on Differential Equations, Hasselt 2003 (eds. F. Dumortier, H. Broer, J. Mawhin, A. Vanderbauwhede and S.M. Verduyn Lunel), Singapore: World Scientific, 2005, pp. 169-174 (with D.J. Estep and R.D. Williams).

  49. Mixed-type functional differential equations, holomorphic factorization and applications, In: Equadiff 03, International Conference on Differential Equations, Hasselt 2003 (eds. F. Dumortier, H. Broer, J. Mawhin, A. Vanderbauwhede and S.M. Verduyn Lunel), Singapore: World Scientific, 2005, pp. 73-90 (with J. Mallet-Paret).

  50. A limited memory Broyden method to solve high-dimensional systems of nonlinear equations, In: Equadiff 03, International Conference on Differential Equations, Hasselt 2003 (eds. F. Dumortier, H. Broer, J. Mawhin, A. Vanderbauwhede and S.M. Verduyn Lunel), Singapore: World Scientific, 2005, pp. 196-201 (with B.A. van de Rotten).

  51. Analysis of Newton's method to compute travelling waves in discrete media, J. Dynam. Differential Equations 17 (2005), 523-572 (with H.J. Hupkes).

  52. Efficient simulation of periodically forced reactors with radial gradients, Chemical Engineering Science 61 (2006), 6981-6994 (with Bart A. van de Rotten and Alfred Bliek).

  53. Center manifold theory for functional differential equations of mixed type, J. Dynam. Differential Equations 19 (2007), 497-560 (with H.J. Hupkes).

  54. Center projections for smooth difference equations of mixed type, J. Differential Equations 244 (2008), 803-835 (with H.J. Hupkes, E. Augeraud-Véron).

  55. Center manifolds for periodic functional differential equations of mixed type, J. Differential Equations 245 (2008), 1526-1565 (with H.J. Hupkes).

  56. Functional similarities and distance properties, Journal of Neuroscience Methods 183 (2009), 31-41 (with M. Muskulus, S. Houweling and A. Daffertshofer).

  57. Existence of an invariant measure for stochastic evolutions driven by an eventually compact semigroup, J. Evol. Equ. 9 (2009), 771-786 (with J. Bierkens and O. van Gaans).

  58. Lin's method and homoclinic bifurcations for functional differential equations of mixed type, Indiana Univ. Math. J. 58 (2009), 2433-2488 (with H.J. Hupkes).

Proceedings and reports

  1. Linear autonomous retarded functional differential equations, Centre for Mathematics and Computer Science, Report AM-R8405, Amsterdam, 1984. MR 85h:34092.

  2. A cell-cycle model revisited, Centrum voor Wiskunde en Informatica, AM-R9305, 1993 (with O. Diekmann, M. Gyllenberg and H.R. Thieme).

  3. Higher order interactions in statistical mechanics, In: Computer Algebra in Industry (ed A.M. Cohen), John Wiley & Sons, Chichester, 1993, pp. 87-100 (with A.L. Schijper).

  4. Symbolic analysis of loudspeaker cross over filters, In: Computer Algebra in Industry (ed A.M. Cohen), John Wiley & Sons, Chichester, 1993 pp. 179-186 (with R.M. Aarts).

  5. Identification problems in functional differential equations, In: Proceedings of the 1997 IEEE Conference on Decision and Control, San Diego, 1997.

  6. Direct determination of cyclic steady states of cyclically operated packed bed reactors, In: Scientific Computing for Chemical Engineering (editors F. Keil, W. Mackens, H. Voss and J. Werner), Springer-Verlag, Berlin, 1999 pp. 311-318 (with T.L. van Noorden and A. Bliek).

  7. 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 3-9522075-1-9) (with N. Ford).

  8. Direct determination of periodic states of cyclically operated packed bed reactors, In: Reaction kinetics and the development and operation of catalic processes (editors G.F. Froment and K.C. Waugh), Elsevier, Amsterdam, 2001 pp. 263-270 (with T.L. van Noorden and A. Bliek).

  9. 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. (with A.E.H. Scheenstra. M. Muskulus, M. Staring, A.M.J.V. van den Maagdenberg, J.H. Reiber, L. van der Weerd, J. Dijkstra).

  10. Prospects for early detection of Alzheimer's disease from serial MR images in transgenic mouse models, Current Alzheimer Research 6 (2009), 503-518 (with M. Muskulus, A.E.H. Scheenstra, N. Braakman, J. Dijkstra, A. Alia, H.J. de Groot, J.H. Reiber).


PDF versions of these publications can be obatined from: verduyn@math.leidenuniv.nl.

Maintained by: verduyn@math.leidenuniv.nl
Last modified: 20 Mar 2010