AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Difference and Differential Equations
About this Title
Saber Elaydi, Trinity University, San Antonio, TX, Gerry Ladas, University of Rhode Island, Kingston, RI, Jianhong Wu, York University, North York, ON, Canada and Xingfu Zou, Memorial University of Newfoundland, St. John’s, NL, Canada, Editors
Publication: Fields Institute Communications
Publication Year:
2004; Volume 42
ISBNs: 978-0-8218-3354-4 (print); 978-1-4704-3076-4 (online)
DOI: https://doi.org/10.1090/fic/042
MathSciNet review: MR2089598
MSC: Primary 39-06; Secondary 34-06
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
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