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Hardcover ISBN:  9780821833544 
Product Code:  FIC/42 
List Price:  $155.00 
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Product Code:  FIC/42.E 
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AMS Member Price:  $116.00 
Hardcover ISBN:  9780821833544 
eBook ISBN:  9781470430764 
Product Code:  FIC/42.B 
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Book DetailsFields Institute CommunicationsVolume: 42; 2004; 438 ppMSC: Primary 00; 34; 39
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).
ReadershipGraduate students and research mathematicians interested in differential equations and applications.

Table of Contents

Survey articles

Hermann Brunner — The discretization of Volterra functional integral equations with proportional delays

J. Cushing — The LPA model

X. Qian and Z. Wang — A survey on oscillation of linear delay difference equations

Yingfei Yi — On almost automorphic oscillations

Research articles

Raghib AbuSaris and Khalil AlDosary — Complex exponential Vandermonde determinant with application to discrete boundary value problem

Yongqiang Cao — A convergence theorem related to iterative mean clustering

Anping Chen and Lihong Huang — Global attractivity in a model of bobwhite quail with delay

Sui Cheng, ChenWei Chen and Tzong Wu — Linear time discrete periodic diffusion networks

Binxiang Dai, Xiangzhen Qian and Lihong Huang — Convergence of solutions for a discretetime system

Tetsuo Furumochi, Satoru Murakami and Yutaka Nagabuchi — Stabilities in Volterra difference equations on a Banach space

Shangjiang Guo and Lihong Huang — Periodic oscillation for a class of delay difference systems

Zhiming Guo and Jianshe Yu — Applications of critical point theory to difference equations

D. Levi — Lie symmetries for lattice equations

Xuecheng Li and Zhicheng Wang — Global attractivity for a logistic equation with piecewise constant arguments

Xiaoyan Lin — Bounded oscillation for a class of second order neutral delay difference equations

Kaiyu Liu and Hongqiang Zhang — Asymptotic behavior in nonlinear discretetime neural networks with delayed feedback

Ye Liu, Lihong Huang and Zhaohui Yuan — Asymptotic behavior and periodicity of solutions for a difference equation with piecewise constant nonlinearity

Yuji Liu, Zhan Zhou and Weigao Ge — Positive solutions of a nonautonomous delay model of single population

Hideaki Matsunaga — Stability regions for a class of delay difference systems

Małgorzata Migda — Oscillation and nonoscillation results for higherorder nonlinear difference equations

Christian Pötzsche — Stability of center fiber bundles for nonautonomous difference equations

Robert Sacker and Hubertus von Bremen — Bifurcation of maps and cycling in genetic systems

Ewa Schmeidel — Nonoscillation and oscillation theorems for a fourth order nonlinear difference equation

Hassan Sedaghat — On the equation $x_{n+1}=cx_{n}+f(x_{n}x_{n1})$

Chuanjun Tian, Jihong Zhang and Zhen Ji — Stability criteria for a kind of delay functional equation

Lin Wang and Xingfu Zou — Exponential stability of delay difference equations with applications to neural networks

Xiaoping Wang and Liusheng Liao — Asymptotic behavior of solutions of linear differencedifferential equations with oscillating coefficients

Wang Wendi — Analysis of a discrete predatorprey model

HongWu Wu and YuanTong Xu — Oscillation for nonautonomous neutral difference equations with variable coefficients

Zhou Yinggao — Oscillation of higherorder nonlinear delay difference equations

Zhaohui Yuan, Lihong Huang and Zhan Zhou — Coexistence of multiple attractive periodic solutions in a discretetime neural network

R. Zhang, Z. Wang and J. Yu — Necessary and sufficient conditions for the existence of positive solutions of nonlinear difference equations

Zhan Zhou and Qinqin Zhang — Periodic solutions of a class of difference systems

Huiyan Zhu and Lihong Huang — Dynamic analysis of a discretetime network of two neurons with delayed feedback

Open problems and conjectures

Saber Elaydi — Open problems and conjectures

Hermann Brunner — Discretization of Volterra integral equations with weakly singular kernels

Saber Elaydi — Nonautonomous difference equations: Open problems and conjectures

E. Grove and G. Ladas — On periodtwo solutions of $x_{n+1} =\frac {\alpha + \beta x_{n}+\gamma x_{n1}}{A + Bx_{n}+ C x_{n1}}$

Robert Sacker and Hubertus von Bremen — Open problems on cycling in genetic systems

Jianhong Wu — On periodic solutions of systems of two difference equations


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

Survey articles

Hermann Brunner — The discretization of Volterra functional integral equations with proportional delays

J. Cushing — The LPA model

X. Qian and Z. Wang — A survey on oscillation of linear delay difference equations

Yingfei Yi — On almost automorphic oscillations

Research articles

Raghib AbuSaris and Khalil AlDosary — Complex exponential Vandermonde determinant with application to discrete boundary value problem

Yongqiang Cao — A convergence theorem related to iterative mean clustering

Anping Chen and Lihong Huang — Global attractivity in a model of bobwhite quail with delay

Sui Cheng, ChenWei Chen and Tzong Wu — Linear time discrete periodic diffusion networks

Binxiang Dai, Xiangzhen Qian and Lihong Huang — Convergence of solutions for a discretetime system

Tetsuo Furumochi, Satoru Murakami and Yutaka Nagabuchi — Stabilities in Volterra difference equations on a Banach space

Shangjiang Guo and Lihong Huang — Periodic oscillation for a class of delay difference systems

Zhiming Guo and Jianshe Yu — Applications of critical point theory to difference equations

D. Levi — Lie symmetries for lattice equations

Xuecheng Li and Zhicheng Wang — Global attractivity for a logistic equation with piecewise constant arguments

Xiaoyan Lin — Bounded oscillation for a class of second order neutral delay difference equations

Kaiyu Liu and Hongqiang Zhang — Asymptotic behavior in nonlinear discretetime neural networks with delayed feedback

Ye Liu, Lihong Huang and Zhaohui Yuan — Asymptotic behavior and periodicity of solutions for a difference equation with piecewise constant nonlinearity

Yuji Liu, Zhan Zhou and Weigao Ge — Positive solutions of a nonautonomous delay model of single population

Hideaki Matsunaga — Stability regions for a class of delay difference systems

Małgorzata Migda — Oscillation and nonoscillation results for higherorder nonlinear difference equations

Christian Pötzsche — Stability of center fiber bundles for nonautonomous difference equations

Robert Sacker and Hubertus von Bremen — Bifurcation of maps and cycling in genetic systems

Ewa Schmeidel — Nonoscillation and oscillation theorems for a fourth order nonlinear difference equation

Hassan Sedaghat — On the equation $x_{n+1}=cx_{n}+f(x_{n}x_{n1})$

Chuanjun Tian, Jihong Zhang and Zhen Ji — Stability criteria for a kind of delay functional equation

Lin Wang and Xingfu Zou — Exponential stability of delay difference equations with applications to neural networks

Xiaoping Wang and Liusheng Liao — Asymptotic behavior of solutions of linear differencedifferential equations with oscillating coefficients

Wang Wendi — Analysis of a discrete predatorprey model

HongWu Wu and YuanTong Xu — Oscillation for nonautonomous neutral difference equations with variable coefficients

Zhou Yinggao — Oscillation of higherorder nonlinear delay difference equations

Zhaohui Yuan, Lihong Huang and Zhan Zhou — Coexistence of multiple attractive periodic solutions in a discretetime neural network

R. Zhang, Z. Wang and J. Yu — Necessary and sufficient conditions for the existence of positive solutions of nonlinear difference equations

Zhan Zhou and Qinqin Zhang — Periodic solutions of a class of difference systems

Huiyan Zhu and Lihong Huang — Dynamic analysis of a discretetime network of two neurons with delayed feedback

Open problems and conjectures

Saber Elaydi — Open problems and conjectures

Hermann Brunner — Discretization of Volterra integral equations with weakly singular kernels

Saber Elaydi — Nonautonomous difference equations: Open problems and conjectures

E. Grove and G. Ladas — On periodtwo solutions of $x_{n+1} =\frac {\alpha + \beta x_{n}+\gamma x_{n1}}{A + Bx_{n}+ C x_{n1}}$

Robert Sacker and Hubertus von Bremen — Open problems on cycling in genetic systems

Jianhong Wu — On periodic solutions of systems of two difference equations