Dynamics of Infinite Dimensional Systems

1. Front Matter

   Pages I-IX

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2. Semilinear Parabolic Systems Under Nonlinear Boundary Conditions

   • Herbert Amann

   Pages 1-6

3. The Shadowing Lemma for Elliptic PDE

   • Sigurd Angenent

   Pages 7-22

4. Coagulation-Fragmentation Dynamics

   • J. M. Ball, J. Carr

   Pages 23-30

5. Functional Differential Equations and Jensen’s Inequality

   • L. C. Becker, T. A. Burton, S. Zhang

   Pages 31-38

6. Method of Upper and Lower Solutions for Nonlinear Integral Equations and an Application to an Infectious Disease Model

   • A. Cañada

   Pages 39-44

7. Competition of Azimuthal Modes and Quasi-Periodic Flows in the Couette-Taylor Problem

   • P. Chossat, Y. Demay, G. Iooss

   Pages 45-56

8. On Bifurcation for Variational Problems

   • Shui-Nee Chow, Reiner Lauterbach

   Pages 57-60

9. Nilpotent Normal Form in Dimension 4

   • Richard Cushman, Jan A. Sanders

   Pages 61-66

10. Perturbed Dual Semigroups and Delay Equations

    • Odo Diekmann

    Pages 67-73

11. On Operators Which Leave Invariant a Half-Space

    • José M. Ferreira

    Pages 75-80

12. Global Hopf Bifurcation in Reaction Diffusion Systems with Symmetry

    • Bernold Fiedler

    Pages 81-104

13. Longtime Behavior for a Class of Abstract Integrodifferential Equations

    • W. E. Fitzgibbon

    Pages 105-111

14. Describing the Flow on the Attractor of One Dimensional Reaction Diffusion Equations by Systems of ODE

    • G. Fusco

    Pages 113-121

15. Asymptotic Behavior of Gradient Dissipative Systems

    • Jack K. Hale

    Pages 123-128

16. Generic Properties of Equilibrium Solutions by Perturbation of the Boundary

    • Daniel B. Henry

    Pages 129-139

17. Complex Analytical Methods in RFDE Theory

    • S. M. Verduyn Lunel

    Pages 141-149

18. Qualitative Behavior of the Solutions of Periodic First Order Scalar Differential Equations with Strictly Convex Coercive Nonlinearity

    • J. Mawhin

    Pages 151-159

19. The Spectrum of Invariant Sets for Dissipative Semiflows

    • Luis T. Magalhães

    Pages 161-168

20. Approximate Solutions to Conservation Laws Via Convective Parabolic Equations : Analytical and Numerical Results

    • Pierangelo Marcati

    Pages 169-177

The 1986 NATO Advanced Study Insti tute on Dynamics of Infini te Dimensional Systems was held at the Instituto Superior Tecnico. Lisbon. Portugal. In recent years. there have been several research workers who have been considering partial differential equations and functional differential equations as dynamical systems on function spaces. Such approaches have led to the formulation of more theoretical problems that need to be investigated. In the applications. the theoretical ideas have contributed significantly to a better understanding of phenomena that have been experimentally and computationally observed. The investigators of this development come wi th several different backgrounds - some from classical partial differential equations. some from classical ordinary differential equations and some interested in specific applications. Each group has special ideas and often these ideas have not been transmitted from one group to another. The purpose of this NATO Workshop was to bring together research workers from these various areas. It provided asoundboard for the impact of the ideas of each respective discipline. We believe that goal was accomplished. but time will be a better judge. We have included the list of participants at the workshop. with most of these giving a presentation. Although the proceedings do not include all of the presentations. it is a good representative sampie. We wish to express our gratitude to NATO. and.to Dr. M. di Lullo of NATO. who unfortunately did not live to see the completion of this project.

• bifurcation
• differential equation
• dynamical systems
• group
• hyperbolic system
• integrable system
• integral
• integral equation
• manifold
• numerical analysis
• ordinary differential equation
• partial differential equation
• stability
• variational problem
• complexity

• Department of Mathematics, Michigan State University, East Lansing, USA

  Shui-Nee Chow

• Division of Applied Mathematics, Brown University, Providence, USA

  Jack K. Hale

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