**Fields Institute Communications**

Volume: 42;
2004;
438 pp;
Hardcover

MSC: Primary 00; 34; 39;

Print ISBN: 978-0-8218-3354-4

Product Code: FIC/42

List Price: $138.00

Individual Member Price: $110.40

**Electronic ISBN: 978-1-4704-3076-4
Product Code: FIC/42.E**

List Price: $138.00

Individual Member Price: $110.40

# Difference and Differential Equations

Share this page *Edited by *
*Saber Elaydi; Gerry Ladas; Jianhong Wu; Xingfu Zou*

A co-publication of the AMS and Fields Institute

This volume contains papers from the 7th International
Conference on Difference Equations held at Hunan University (Changsa,
China), a satellite conference of ICM2002 Beijing. The volume captures
the spirit of the meeting and includes peer-reviewed survey papers,
research papers, and open problems and conjectures.

Articles cover stability, oscillation, chaos, symmetries, boundary
value problems and bifurcations for discrete dynamical systems,
difference-differential equations, and discretization of continuous
systems.

The book presents state-of-the-art research in these important areas. It is
suitable for graduate students and researchers in difference equations and
related topics.

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

#### Readership

Graduate students and research mathematicians interested in differential equations and applications.

# Table of Contents

## Difference and Differential Equations

- Cover Cover11
- Title page iii4
- Contents v6
- Preface ix10
- Survey articles 112
- The discretization of Volterra functional integral equations with proportional delays 314
- The LPA model 2940
- A survey on oscillation of linear delay difference equations 5768
- On almost automorphic oscillations 7586
- Research articles 101112
- Complex exponential Vandermonde determinant with application to discrete boundary value problem 103114
- A convergence theorem related to iterative mean clustering 111122
- Global attractivity in a model of bobwhite quail with delay 121132
- Linear time discrete periodic diffusion networks 131142
- Convergence of solutions for a discrete-time system 153164
- Stabilities in Volterra difference equations on a Banach space 159170
- Periodic oscillation for a class of delay difference systems 177188
- Applications of critical point theory to difference equations 187198
- Lie symmetries for lattice equations 201212
- Global attractivity for a logistic equation with piecewise constant arguments 215226
- Bounded oscillation for a class of second order neutral delay difference equations 223234
- Asymptotic behavior in nonlinear discrete-time neural networks with delayed feedback 231242
- Asymptotic behavior and periodicity of solutions for a difference equation with piecewise constant nonlinearity 241252
- Positive solutions of a non-autonomous delay model of single population 253264
- Stability regions for a class of delay difference systems 273284
- Oscillation and nonoscillation results for higher-order nonlinear difference equations 285296
- Stability of center fiber bundles for nonautonomous difference equations 295306
- Bifurcation of maps and cycling in genetic systems 305316
- Nonoscillation and oscillation theorems for a fourth order nonlinear difference equation 313324
- On the equation π₯_{π+1}=ππ₯_{π}+π(π₯_{π}-π₯_{π-1}) 323334
- Stability criteria for a kind of delay functional equation 327338
- Exponential stability of delay difference equations with applications to neural networks 335346
- Asymptotic behavior of solutions of linear difference-differential equations with oscillating coefficients 349360
- Analysis of a discrete predator-prey model 357368
- Oscillation for nonautonomous neutral difference equations with variable coefficients 363374
- Oscillation of higher-order nonlinear delay difference equations 371382
- Coexistence of multiple attractive periodic solutions in a discrete-time neural network 377388
- Necessary and sufficient conditions for the existence of positive solutions of nonlinear difference equations 385396
- Periodic solutions of a class of difference systems 397408
- Dynamic analysis of a discrete-time network of two neurons with delayed feedback 405416
- Open problems and conjectures 415426
- Open problems and conjectures 417428
- Discretization of Volterra integral equations with weakly singular kernels 419430
- Nonautonomous difference equations: Open problems and conjectures 423434
- On period-two solutions of π₯_{π+1}=\frac{πΌ+π½π₯_{π}+πΎπ₯_{π-1}}π΄+π΅π₯_{π}+πΆπ₯_{π-1} 429440
- Open problems on cycling in genetic systems 435446
- On periodic solutions of systems of two difference equations 437448
- Back Cover Back Cover1450