广义Kuramoto-Sivashinsky方程强解的全局吸引子的存在性

Using a new method developed in[5],we prove the existence of global attractors for the Generalized Kuramoto-Sivashinsky equation in H3per(Ω)and H4per(Ω).     

从模糊学角度讨论SISO闭环系统模型的物理局限性

用等效电路导出负反馈放大器Avsf、rof、fhf、fLf等解析式关系式,它能完整、准确描述不同电路反馈机制对放大器性能产生的不同影响.说明了SISO闭环反馈系统数学模型存在有物理局限性:不能体现基尔霍夫定律作用;不能给出完整准确、实用的计算关系式.用模糊数学概念讨论了由闭环方块图导出的Af和FA0 1表达式对于负反馈放大电路,实际上只是一种模糊关系表达式.     

山东省与京、沪、粤、苏竞技体育发展比较分析与对策研究

采用文献资料、数理统计、对比分析等方法对山东省与北京、上海、广东、江苏这四省、市在竞技体育发展等多方面进行比较分析,从中找出山东省竞技体育发展的不足之处和弱势,提出合理的建议和对策.     

混合序列的Hájeck-Rènyi型不等式及强大数律

利用Utev S.和Peligrad M.不等式,得到了-混合随机变量序列的Hájeck-Rènyi不等式、三级数定理和Chung型强大数律,改进了甘师信与吴群英等人的结论,达到了与独立时一致的结果.     

一类纵向数据半参数模型中的强相合估计

本文考虑如下纵向数据半参数回归模型:y_(ij)=x′_(ij)β+g(x_(ij))+e_(ij).结合最小二乘法和非参数权函数估计方法得到模型中参数β,回归函数g(·)的估计,并在适当条件下证明了估计量的强相合性.     

A Note on the Uniform Laws for Dependent Processes Via Coupling

In this note we investigate the coupling of a class of dependent sequences with an independent one having the same marginal distributions. This method is then used to prove that a uniform law of averages for this class holds if a similar law holds for the associated independent sequence.     

粘性系数依赖于密度的Korteweg型不可压流体的强解问题

研究一类Korteweg型不可压流体模型的强解问题.针对粘性系数依赖于密度的情形,当初始值满足兼容性条件(9)对,证明了强解的局部存在性和唯一性.我们在这指出,本文允许初始真空存在.     

Ext-强Ding投射模

引入了Ext-强Ding投射模的定义,证明了Ext-强Ding投射模类是投射可解类,并讨论了Ext-强Ding投射模预覆盖。     

Inequalities for the Extended Best Polynomial Approximation Operator in Orlicz Spaces

In this paper we pursue the study of the best approximation operator extended from L~Φ to L~φ, where φ denotes the derivative of the function Φ. We get pointwise convergence for the coefficients of the extended best approximation polynomials for a wide class of function f, closely related to the Calder′on–Zygmund class t_m~p(x) which had been introduced in 1961. We also obtain weak and strong type inequalities for a maximal operator related to the extended best polynomial approximation and a norm convergence result for the coefficients is derived. In most of these results, we have to consider Matuszewska–Orlicz indices for the function φ.