**Fields Institute Communications**

Volume: 29;
2001;
378 pp;
Hardcover

MSC: Primary 34; 39; 35;

Print ISBN: 978-0-8218-2701-7

Product Code: FIC/29

List Price: $135.00

AMS Member Price: $108.00

MAA member Price: $121.50

**Electronic ISBN: 978-1-4704-3053-5
Product Code: FIC/29.E**

List Price: $135.00

AMS Member Price: $108.00

MAA member Price: $121.50

# Topics in Functional Differential and Difference Equations

Share this page *Edited by *
*Teresa Faria; Pedro Freitas*

A co-publication of the AMS and Fields Institute

This volume contains papers written by participants at the Conference on Functional Differential and Difference Equations held at the Instituto Superior Técnico in Lisbon, Portugal. The conference brought together mathematicians working in a wide range of topics, including qualitative properties of solutions, bifurcation and stability theory, oscillatory behavior, control theory and feedback systems, biological models, state-dependent delay equations, Lyapunov methods, etc. Articles are written by leading experts in the field. A comprehensive overview is given of these active areas of current research. The book will be of interest to both theoretical and applied mathematical scientists.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

#### Readership

Graduate students and research and applied mathematicians interested in ordinary differential equations, difference and functional equations, and partial differential equations.

# Table of Contents

## Topics in Functional Differential and Difference Equations

- Cover Cover11
- Title page v6
- Contents vii8
- Preface xi12
- List of participants xiii14
- Monotonicity for some reaction-diffusion systems with delay and Dirichlet boundary conditions 116
- Lyapunov’s direct method and parametric resonance in linear systems with delay 1126
- State-dependent delay differential equations in population dynamics: Modeling and analysis 1934
- Existence of periodic solution for a class of delay differential equations with impulses 3752
- Damped wave equations with delay 5166
- Global attractor for a class of partial functional differential equations with infinite delay 6378
- Differential equations with hereditary structure induced by a Volterra type property 7388
- Asymptotic analysis of binomial recurrences 93108
- Collision of global orbits in 𝐶^{∞} retarded functional differential equations 105120
- One-to-oneness and hyperbolicity 113128
- Modeling the spread of feline leukemia virus in heterogeneous habitats 133148
- Bursting activity in a model of a neuron with recurrent synaptic feedback 147162
- On 𝑥_{𝑛+1}=max{\frac{1}𝑥_{𝑛},\frac{𝐴_{𝑛}}𝑥_{𝑛-1}} with a period 3 parameter 161176
- Stability in delay perturbed differential and difference equations 181196
- Some problems in FDE 195210
- Non-linear feedback systems with memory: From 0-th to higher order, discrete and continuous 223238
- Dynamics of inhibitory artificial neural networks with threshold nonlinearity 235250
- Dimension of space of solutions for a linear nonautonomous infinite delay differential equation 245260
- Unstable sets of periodic orbits and the global attractor for delayed feedback 267282
- Uniform exponential stability of controlled quasilinear systems and functional differential equations 297312
- Finite pole assignment of retarded dynamical systems in Hilbert spaces 307322
- Inverse problems for nonself-adjoint evolutionary systems 321336
- Contracting return maps for some delay differential equations 349364
- Normal forms for neutral functional differential equations 361376
- A functional differential equation and 3𝑛+1 dynamics 369384
- Back Cover Back Cover1394