Fields Institute Communications 2004; 438 pp; hardcover Volume: 42 ISBN10: 0821833545 ISBN13: 9780821833544 List Price: US$131 Member Price: US$104.80 Order Code: FIC/42
 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 peerreviewed survey papers, research papers, and open problems and conjectures. Articles cover stability, oscillation, chaos, symmetries, boundary value problems and bifurcations for discrete dynamical systems, differencedifferential equations, and discretization of continuous systems. The book presents stateoftheart research in these important areas. It is suitable for graduate students and researchers in difference equations and related topics. Titles in this series are copublished 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 Survey articles  H. Brunner  The discretization of Volterra functional integral equations with proportional delays
 J. M. Cushing  The LPA model
 X. Z. Qian and Z. C. Wang  A survey on oscillation of linear delay difference equations
 Y. Yi  On almost automorphic oscillations
Research articles  R. M. AbuSaris and K. I. AlDosary  Complex exponential Vandermonde determinant with application to discrete boundary value problem
 Y. Cao  A convergence theorem related to iterative mean clustering
 A. Chen and L. Huang  Global attractivity in a model of bobwhite quail with delay
 S. S. Cheng, C.W. Chen, and T. Y. Wu  Linear time discrete periodic diffusion networks
 B. Dai, X. Qian, and L. Huang  Convergence of solutions for a discretetime system
 T. Furumochi, S. Murakami, and Y. Nagabuchi  Stabilities in Volterra difference equations on a Banach space
 S. Guo and L. Huang  Periodic oscillation for a class of delay difference systems
 Z. Guo and J. Yu  Applications of critical point theory to difference equations
 D. Levi  Lie symmetries for lattice equations
 X. Li and Z. Wang  Global attractivity for a logistic equation with piecewise constant arguments
 X. Lin  Bounded oscillation for a class of second order neutral delay difference equations
 K. Liu and H. Zhang  Asymptotic behavior in nonlinear discretetime neural networks with delayed feedback
 Y. Liu, L. Huang, and Z. Yuan  Asymptotic behavior and periodicity of solutions for a difference equation with piecewise constant nonlinearity
 Y. Liu, Z. Zhou, and W. Ge  Positive solutions of a nonautonomous delay model of single population
 H. Matsunaga  Stability regions for a class of delay difference systems
 M. Migda  Oscillation and nonoscillation results for higherorder nonlinear difference equations
 C. Pötzsche  Stability of center fiber bundles for nonautonomous difference equations
 R. J. Sacker and H. F. von Bremen  Bifurcation of maps and cycling in genetic systems
 E. Schmeidel  Nonoscillation and oscillation theorems for a fourth order nonlinear difference equation
 H. Sedaghat  On the equation \(x_{n+1}=cx_{n}+f(x_{n}x_{n1})\)
 C. Tian, J. Zhang, and Z. Ji  Stability criteria for a kind of delay functional equation
 L. Wang and X. Zou  Exponential stability of delay difference equations with applications to neural networks
 X. Wang and L. Liao  Asymptotic behavior of solutions of linear differencedifferential equations with oscillating coefficients
 W. Wendi  Analysis of a discrete predatorprey model
 H.W. Wu and Y.T. Xu  Oscillation for nonautonomous neutral difference equations with variable coefficients
 Z. Yinggao  Oscillation of higherorder nonlinear delay difference equations
 Z. Yuan, L. Huang, and Z. Zhou  Coexistence of multiple attractive periodic solutions in a discretetime neural network
 R. Y. Zhang, Z. C. Wang, and J. S. Yu  Necessary and sufficient conditions for the existence of positive solutions of nonlinear difference equations
 Z. Zhou and Q. Zhang  Periodic solutions of a class of difference systems
 H. Zhu and L. Huang  Dynamic analysis of a discretetime network of two neurons with delayed feedback
Open problems and conjectures  S. Elaydi  Open problems and conjectures
 H. Brunner  Discretization of Volterra integral equations with weakly singular kernels
 S. Elaydi  Nonautonomous difference equations: Open problems and conjectures
 E. A. Grove and G. Ladas  On periodtwo solutions of \(x_{n+1} =\frac{\alpha + \beta x_{n}+\gamma x_{n1}}{A + Bx_{n}+ C x_{n1}}\)
 R. J. Sacker and H. F. von Bremen  Open problems on cycling in genetic systems
 J. Wu  On periodic solutions of systems of two difference equations
