Differential Equations and Computational Simulations: Proceedings of the International Conference Chengdu, China, 13-18 June 1999

by Bates, Peter W.; Lu, Kening; Xu, Daoyi

• ISBN13: 9789810242688
• ISBN10: 9810242689
• Format: Hardcover
• Copyright: 2000-04-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

Proceedings of the International Conference on Differential Equations and Computational Simulations, Chengdu, China, June 13-18, 1999. Over 100 mathematicians from China, Japan, Singapore, the United States, Canada, and Japan participated in this conference.

Table of Contents

Preface	v
Modeling of micro diffractive optics	1	(8)
Gang Bao
On the oscillation of delay differential equation with distributed delay	9	(3)
Jundong Bao
A numerical scheme for the Mullins-Sekerka evolution in three space dimensions	12	(15)
Peter W. Bates
Sarah Brown
Approximate normally hyperbolic invariant manifolds for semiflows	27	(5)
Peter W. Bates
Kening Lu
Chongchun Zeng
Sufficient conditions for oscillation of second order nonlinear differential equations	32	(3)
Chonggao Cheng
The limit cycle of two species predator-prey model with general functional response	35	(7)
Junping Chen
Dadi Yang
Symbolic calculi for sequences	42	(8)
S. S. Cheng
Uniformly asymptotic stability for nonautonomous differential equations with multiple delay	50	(5)
Wuhua Chen
Limiting profiles of periodic solutions of neural networks with synaptic delays	55	(4)
Y. Chen
J. Wu
Global uniform asymptotic stability of neutral Volterra equations	59	(2)
Weiye Cui
Hongyong Zhao
Bifurcation and chaos of the dynamical models of mantle convection in an imposed vertical magnetic field	61	(5)
Jun Dong
Yiping Lin
Perturbations from an elliptic Hamiltonian of degree four	66	(5)
Freddy Dumortier
Chengzhi Li
Global stability of SEIR models with saturation incidence	71	(10)
Meng Fan
Ke Wang
Michael Y. Li
Global existence of positive periodic solutions for n-species Lotka--Volterra-type competition system deviating arguments	81	(4)
Hui Fang
Boundedness and periodic solutions of Volterra integro-differential equations	85	(10)
Tetsuo Furumochi
New criteria of stability and boundedness for functional differential systems	95	(3)
Yuli Fu
Jian Gao
Xiaoxin Liao
H∞ observer design for discrete delay systems	98	(6)
Xinping Guan
Zhiyun Lin
Yichang Liu
Guangren Duan
Hopf bifurcation for an ecological mathematical model on microbe populations	104	(7)
Ruihai Guo
Xiaofeng Yuan
A new Zp index theory and its applications	111	(4)
Zhiming Guo
Yuantong Xu
Zhuangpeng Lin
Criteria of 3-dimensional homogeneous vector fields	115	(5)
Y. C. He
Oscillations of second order impulsive advanced differential equations	120	(6)
Zhimin He
Weigao Ge
The Sobolev exponents of nonlinear wave equations in high space dimensions	126	(5)
Q. L. Hu
Boundary value problems for singular second-order FDEs	131	(4)
D. Q. Jiang
X. G. Li
Asymptotic behavior and existence of positive solutions for higher order neutral difference equations	135	(8)
Jianchu Jiang
Xiaoping Li
Yuehua Liu
The function-controllability of the nonlinear control systems with state delay and control delay	143	(6)
Wei Jiang
Wenzhong Song
Shumin Fei
Stability of nonlinear ordinary differential systems	149	(11)
Qingkai Kong
The global and local C2-solutions for the wave equation in three space dimensions	160	(6)
S. Y. Lai
The blow-up rate for a system of semilinear heat equations with nonlinear boundary conditions	166	(6)
S. Y. Lai
C. L. Mu
Invariance and integrability of differential equation under fractional transformation	172	(4)
Jinzhi Lei
Keying Guan
On the non-constant periodic orbits of cubic Kolmogorov systems of a class in R3	176	(5)
Zhaojun Liang
Cuihong Yang
Global attractivity in delayed Hopfield neural network model with variable coefficients and delay	181	(5)
Liusheng Liao
Anping Chen
Global attractivity of a delay difference model	186	(10)
Jingwen Li
Oscillation and global attractivity of generalized Nicholson's Blowfly model	196	(6)
Meili Li
Jurang Yan
Hopf bifurcation in a three-unit neural network with delay	202	(4)
Yiping Lin
Roland Lemmert
Peter Volkmann
Asymptotic behavior for a class of delay 2-D discrete dynamic system	206	(4)
Shutong Liu
Yongqing Liu
Yongdong Zhang
Viscosity solutions of fully nonlinear systems parabolic equations	210	(5)
W. A. Liu
G. Lu
H. Chen
Invariant manifolds for a rapidly oscillatory perturbation problem	215	(10)
Weishi Liu
Global stability for a population model with time delay	225	(5)
Yuji Liu
Lilin Zhou
Distribution of the zeroes of the solutions of second order neutral differential equations	230	(4)
Wei Li
Monotone solutions of second order quasilinear differential equations	234	(4)
W. T. Li
Stable set of nonlinear neutral-type large-scale dynamical systems	238	(5)
Shuyong Li
Daoyi Xu
Some recent contributions to impulsive functional differential equations	243	(11)
Xinzhi Liu
Stability of solution for a class of the fourth order nonlinear autonomous systems	254	(5)
Deyuan Lu
Zonghuang Liao
Oscillation of neutral difference equations with maxima	259	(6)
Jiaowan Luo
Asymptotic analysis of solutions of singularly perturbed equation	265	(5)
Hongkuan Ma
Dynamics of 2-D incompressible flows	270	(7)
Tian Ma
Shouhong Wang
Classification of translation maps of tori by topological conjugacy	277	(7)
J. H. Mai
Existence of biharmonic curves and symmetric biharmonic maps	284	(8)
Libin Mou
Stability of large-scale linear system with time-delay	292	(6)
Xiaohong Nian
Limin Huang
On the asymptotic behavior of characteristic roots of neutral equations with a delay	298	(2)
Hongshan Ren
The qualitative analysis of two-species nonlinear competition system with periodic coefficients	300	(4)
Jitao Sun
Yinping Zhang
Oscillation of first order delay differential equations with oscillating coefficients	304	(7)
X. H. Tang
J. S. Yu
The asymptotic theory for semilinear wave equations in two space dimensions	311	(5)
X. K. Tan
The unique normal form theory	316	(6)
Duo Wang
On distribution of limit cycle for quadratic system in the plane	322	(5)
Feng Wang
Xingfu Du
Yumin Wang
Oscillation of certain neutral difference equation of mixed type with high order	327	(6)
Jainjun Wang
Jinzhu Zhang
Persistence and periodic orbits for nonautonomous diffusion Volterra predator-prey system with undercrowding effect	333	(6)
Jikun Wang
Competing predators for a prey in a chemostat model with two-nutrients and delay	339	(9)
Kaifa Wang
Aijun Fan
Qualitative studies on some chemotactic diffusion systems	348	(9)
Xuefeng Wang
Nonoscillation for second order linear impulsive differential equation with delay	357	(4)
Yianlin Tian
Peixuan Weng
Existence and uniqueness of periodic solutions for a class of higher dimensional non-autonomous system with delay	361	(6)
Xiaofei Wu
Traveling waves for a quasilinear burgers-type equation	367	(4)
Yaping Wu
Global attractor of reaction-diffusion equations with delays	371	(7)
Daoyi Xu
On non-existence of positive solutions of nonlinear polyharmonic equations	378	(5)
Xingwang Xu
Multiple periodic solutions for a class of retarded nonautonomous wave equations	383	(6)
Yuantong Xu
Zhiming Guo
Existence of stable subharmonic solutions for reaction-diffusion equations	389	(9)
Eiji Yanagida
A note on the lifespan of smooth solutions to the three dimensional compressible isentropic Euler equations	398	(4)
Han Yang
Global stability of the second order equation x + f(x,x)x + g(x) = 0	402	(4)
Qigui Yang
Limit cycles of Kukles system with two fine foci	406	(4)
Xinan Yang
Guowei Chen
Yongbin Wu
Some mathematical problems in synchronization theory	410	(6)
Xiao Song Yang
The structure of non-wandering sets of interval maps	416	(6)
Geping Liu
Xiangdong Ye
Some promising directions of research in the field of planar autonomous differential systems	422	(11)
Yanqian Ye
The asymptotic theory of initial value problem for semilinear wave equations in three space dimensions	433	(4)
Z. Yin
S. Y. Lai
On the global stability for a class of difference equations with delay	437	(5)
Guodong Yu
On the 3/2 global attractivity and stability results of some nonlinear delay equations of logistic type	442	(5)
J. S. Yu
X. H. Tang
Homoclinic orbits for singularly perturbed nonlinear Schrodinger equation	447	(9)
Chongchun Zeng
Forced oscillations of a regularized long-wave equation and their global stability	456	(8)
Bing-Yu Zhang
Hopf bifurcation of nonlinear differential equations with delays	464	(4)
Juan Zhang
Zuxiu Zheng
Rotation number, eigenvalues and their applications	468	(8)
Meirong Zhang
Almost periodic solutions for difference systems and Lyapunov functions	476	(6)
Sunian Zhang
The simultaneous collision orbits for N-body problems with quasihomogeneous potentials	482	(7)
Shiqing Zhang
Invariant curves for a differential equation with delay	489	(6)
W. N. Zhang
Necessary and sufficient conditions for oscillation of some second order nonlinear functional differential equations	495	(6)
Zhiyu Zhang
Xiaoxia Wang
The integrability theorems of Riccati differential equation with applications	501	(5)
Linlong Zhao
Robust stabilization of integro-differential systems	506	(4)
Shouming Zhong
Yuanqing Huang
On the retarded Lienard-type equation blow-up on some parabolic equations	510	(6)
Jin Zhou
Lan Xiang
Dimension of the global attractor for semilinear wave equations with damping	516
S. F. Zhou