二维广义Ginzburg-Landau方程在Banach空间的指数吸引子

本文应用能量积分和解析半群的有关估计,研究广义二维Ginzburg-Landau方程 在Banach空间LP(Ω)的子空间X-α的指数吸引子.     

Boundary Feedback Stabilization of Naghdi＇s Model

We consider the stabilization of Naghdi‘s model by boundary feedbacks where the model has a middle surface of any shape. First, applying the semigroup approach and the regularity of elliptic boundary value problems, we obtain the existence, the uniqueness, and the properties of solutions to Naghdi‘s model. Finally, we establish the exponential decay rates for Naghdi‘s model under some checkable geometric conditions on the middle surface.     

Covariant Projective Extensions

The theory of crossed products of C~*-algebras by groups of automorphisms is a well-developed area of the theory of operator algebras. Given the importance and the success ofthat theory, it is natural to attempt to extend it to a more general situation by, for example,developing a theory of crossed products of C~*-algebras by semigroups of automorphisms, or evenof endomorphisms. Indeed, in recent years a number of papers have appeared that are concernedwith such non-classical theories of covariance algebras, see, for instance [1-3].     

退化正则半群

引入了退化正则半群的定义，给出退化正则半群的一些基本性质，并证明了用多值线性算子刻划的指数有界退化正则半群的生成定理．     

采用数学分析方法分析样品核素含量的方法研究

当样品含有多种能量的γ射线时，某一峰下的面积，不仅记录了该能量的光电效应事件，而且还包括了更高能量γ射线的Compton 散射事件。这样，就不能由峰下面积确定相应的γ射线强度，采用逆矩阵法对γ能谱进行分析可得到较好非结果。When the sample contains many kinds of energies γ rays,their peak’s area not only records the matters of optical electronic effect but also the Compton scattering matters with higher energyγ rays.So that,theγ rays intensity conducted by the peak’s area can’t gain.Using the anti-matrix method,the better results of anlyze on theγ Spectrometry may be getten.     

近红外光早期宫颈癌诊断的频域逆蒙特卡洛光学参量重构研究

研究了基于时域蒙特卡洛模拟的频域信息提取方法、光学参量反演方法和提高反演速度的措施.提出了利用离散傅立叶变换（传统法）和改进法两种提取频域信号幅值相位的方法.通过建立一定散射系数范围内的正向MC模拟数据库、采用拟合方法以及利用朗伯 比尔定理,解决了光学参量反演中快速获得MC模拟结果的问题.模拟实验结果表明：改进法无论在反演准确度还是计算时间上均优于传统法,当其中一个参量不变时,散射系数的反演相对误差小于±6%,吸收系数的反演相对误差小于±10%;当吸收和散射系数同时变化时（30<μs<100 cm－1,0.2<μa<0.50 cm－1）,两个参量反演相对误差在±10%以内.采用快速反演技术重构一组光学参量所需要的计算时间小于1分钟.     

近红外光谱逆回归降维定量分析模型

在近红外光谱定量分析中,由近红外光谱数据的高维特点引起的复共线性,是利用化学计量方法建模经常遇到的问题,可利用一种新的逆回归方法处理这一问题.该方法首先利用自变量X和因变量Y的相关性质降维,找到真正与回归函数有关的X的线性组合,再利用新找到的低维变量估计回归函数.文中以103个玉米样品为实验材料,随机选择其中70个玉米...     

Bernstein-Kantorovich算子逆中插式的强逆不等式

给出并证明了Bernstein—Kantorovich算子逆中插式的B型强逆不等式,即存在l,使得ω_φ~(2r)(f,1/n~(1/2))≤C(||k_n~((2r-1))f-f||_∞+||K_(ln)~((2r-1))f-f||_∞).     

Existence of Semilinear Differential Equations with Nonlocal Initial Conditions

In this paper we give the existence of mild solutions for semilinear Cauchy problems u′（t） = Au（t） ＋f（t, u（t））, t ∈ I, a.e. with nonlocal initial condition u（O） = g（u） ＋uo when the map g loses compactness in Banach spaces.