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Product Code:  FIC/42 
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Electronic ISBN:  9781470430764 
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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.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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 Book Details
 Table of Contents

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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.
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