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Difference and Differential Equations
 
Edited by: Saber Elaydi :  Trinity University, San Antonio, TX
Gerry Ladas :  University of Rhode Island, Kingston, RI
Jianhong Wu :  York University, North York, ON, Canada
Xingfu Zou :  Memorial University of Newfoundland, St. John’s, NL, Canada
A co-publication of the AMS and Fields Institute
Difference and Differential Equations
Hardcover ISBN:  978-0-8218-3354-4
Product Code:  FIC/42
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
eBook ISBN:  978-1-4704-3076-4
Product Code:  FIC/42.E
List Price: $145.00
MAA Member Price: $130.50
AMS Member Price: $116.00
Hardcover ISBN:  978-0-8218-3354-4
eBook: ISBN:  978-1-4704-3076-4
Product Code:  FIC/42.B
List Price: $300.00 $227.50
MAA Member Price: $270.00 $204.75
AMS Member Price: $240.00 $182.00
Add to cart
Difference and Differential Equations
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Difference and Differential Equations
Edited by: Saber Elaydi :  Trinity University, San Antonio, TX
Gerry Ladas :  University of Rhode Island, Kingston, RI
Jianhong Wu :  York University, North York, ON, Canada
Xingfu Zou :  Memorial University of Newfoundland, St. John’s, NL, Canada
A co-publication of the AMS and Fields Institute
Hardcover ISBN:  978-0-8218-3354-4
Product Code:  FIC/42
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
eBook ISBN:  978-1-4704-3076-4
Product Code:  FIC/42.E
List Price: $145.00
MAA Member Price: $130.50
AMS Member Price: $116.00
Hardcover ISBN:  978-0-8218-3354-4
eBook ISBN:  978-1-4704-3076-4
Product Code:  FIC/42.B
List Price: $300.00 $227.50
MAA Member Price: $270.00 $204.75
AMS Member Price: $240.00 $182.00
Add to cart
  • Book Details
     
     
    Fields Institute Communications
    Volume: 42; 2004; 438 pp
    MSC: 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 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
     
     
    • 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 Abu-Saris and Khalil Al-Dosary — 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, Chen-Wei Chen and Tzong Wu — Linear time discrete periodic diffusion networks
    • Binxiang Dai, Xiangzhen Qian and Lihong Huang — Convergence of solutions for a discrete-time 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 discrete-time 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 non-autonomous delay model of single population
    • Hideaki Matsunaga — Stability regions for a class of delay difference systems
    • Małgorzata Migda — Oscillation and nonoscillation results for higher-order 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 $x_{n+1}=cx_{n}+f(x_{n}-x_{n-1})$
    • 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 difference-differential equations with oscillating coefficients
    • Wang Wendi — Analysis of a discrete predator-prey model
    • Hong-Wu Wu and Yuan-Tong Xu — Oscillation for nonautonomous neutral difference equations with variable coefficients
    • Zhou Yinggao — Oscillation of higher-order nonlinear delay difference equations
    • Zhaohui Yuan, Lihong Huang and Zhan Zhou — Coexistence of multiple attractive periodic solutions in a discrete-time 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 discrete-time 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 period-two solutions of $x_{n+1} =\frac {\alpha + \beta x_{n}+\gamma x_{n-1}}{A + Bx_{n}+ C x_{n-1}}$
    • Robert Sacker and Hubertus von Bremen — Open problems on cycling in genetic systems
    • Jianhong Wu — On periodic solutions of systems of two difference equations
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Fields Institute Communications
Volume: 42; 2004; 438 pp
MSC: 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 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.
  • 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 Abu-Saris and Khalil Al-Dosary — 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, Chen-Wei Chen and Tzong Wu — Linear time discrete periodic diffusion networks
  • Binxiang Dai, Xiangzhen Qian and Lihong Huang — Convergence of solutions for a discrete-time 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 discrete-time 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 non-autonomous delay model of single population
  • Hideaki Matsunaga — Stability regions for a class of delay difference systems
  • Małgorzata Migda — Oscillation and nonoscillation results for higher-order 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 $x_{n+1}=cx_{n}+f(x_{n}-x_{n-1})$
  • 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 difference-differential equations with oscillating coefficients
  • Wang Wendi — Analysis of a discrete predator-prey model
  • Hong-Wu Wu and Yuan-Tong Xu — Oscillation for nonautonomous neutral difference equations with variable coefficients
  • Zhou Yinggao — Oscillation of higher-order nonlinear delay difference equations
  • Zhaohui Yuan, Lihong Huang and Zhan Zhou — Coexistence of multiple attractive periodic solutions in a discrete-time 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 discrete-time 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 period-two solutions of $x_{n+1} =\frac {\alpha + \beta x_{n}+\gamma x_{n-1}}{A + Bx_{n}+ C x_{n-1}}$
  • Robert Sacker and Hubertus von Bremen — Open problems on cycling in genetic systems
  • Jianhong Wu — On periodic solutions of systems of two difference equations
Review Copy – for publishers of book reviews
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