具非线性中立项的二阶时滞微分方程的振动性质

By using the averaging technique, we obtain new oscillation criteria for second order delay differential equation with nonlinear neutral term. These results generalize and improve some known results about neutral delay differential equation of second order.     

Stability of the steady state for the Falk model system of shape memory alloys

In this article a stability result for the Falk model system is proven. The Falk model system describes the martensitic phase transitions in shape memory alloys. In our setting, the steady state is a nonlocal elliptic problem. We show the dynamical stability for the linearized stable critical point of the corresponding functional. Copyright © 2007 John Wiley & Sons, Ltd.     

Nonlinear Time Series Analysis Since 1990:Some Personal Reflections

Abstract I reflect upon the development of nonlinear time series analysis since 1990 by focusing on five majorareas of development. These areas include the interface between nonlinear time series analysis and chaos,thenonparametric/semiparametric approach,nonlinear state space modelling,financial time series and nonlinearmodelling of panels of time series.     

天然树脂局部结构的径向分布函数研究

本工作用x射线衍射技术分析计算了二种天然树脂的局部结构参数,由测得的衍射强度数据求出了它们的结构因子I(r)和径向分布函数RDF(r),并由此得到了分子链内临近原子和次临近原子平均间距、配位数和短程有序畴。     

适用于一般提法的埃尔米特插值多项式的差商构造公式

利用差商的非构造性定义建立了适用于一般提法的埃尔米特(Henmite)插值多项式的差商构造公式,并给出了插值余项估计。     

幻象·幻想·诗意言说——海子抒情短诗解读

海子及其诗歌是中国当代诗歌史上特殊的文化存在。本文尝试着从存在的表象/幻象、丰盈的想象/幻想、诗意言说方式、神性体验和神性光辉四个方面对海子的抒情短诗进行解读,并探讨和说明海子及其诗歌在诗学理念和美学实践上与梵高、海德格尔、荷尔德林等人的精神渊源关系。有所发明的是把海子诗歌的幻象体系与海德格尔的天地人神四重世界整体相联系,以及在分析归纳后提出了海子诗歌独特的“诗意言说方式”。     

一个算术函数的误差项估计

设ψ(n)是Dedekind函数,∑n≤x=nψ(n)=αx E(x),其中α是常数,E(x)是误差项.主要目的是利用经典的复积分理论及解析方法研究了E(x)的平方积分均值,得到了一个较为精确的估计式.     

中长跑的选材与预测

本文从系统学角度,探讨如何控制中长跑选材的过程,并从生理、心理、身体素质以及身体形态等方面探讨如何以科学的选材方法和手段为依据,指导教练选出优秀人材,进行早期培养,缩短其成材周期,提高成材率。     

EXPONENTIAL STABILITY AND PERIODIC SOLUTION OF HYBRID BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH DISCRETE DELAYS

In this paper, we study the existence, uniqueness, and the global exponential stability of the periodic solution and equilibrium of hybrid bidirectional associative memory neural networks with discrete delays. By ingeniously importing real parameters di > 0 (i = 1,2, …, n) which can be adjusted, making use of the Lyapunov functional method and some analysis techniques, some new sufficient conditions are established. Our results generalize and improve the related results in [9]. These conditions can be used both to design globally exponentially stable and periodical oscillatory hybrid bidirectional associative neural networks with discrete delays, and to enlarge the area of designing neural networks. Our work has important significance in related theory and its application.