爆轰作用下激波管壁发射光谱的研究

 本文用KODAK-2485胶片拍摄了激波管内四种烃燃料（正庚烷、异辛烷、M-17乳化汽油、W-11乳化汽油）的爆轰光谱。发射光谱由爆轰产物产生的连续光谱，Fe、Cr、Mn原子的大量线光谱，以及550~660 nm强而复杂的带光谱组成。经分析，在这些带光谱中存在FeO分子的黄带系光谱。     

Artin模上的替代结构

该文得到了Ａｒｔｉｎ模的一个替代结构，并进而证明了紧Ｈａｕｓｄｏｒｆｆ空间上连续函数环具有该替代结构．     

关于M-PN空间中算子方程Tx=μx+p(μ≥1)的解

在M enger PN空间中研究了一类非线性算子方程T x=μx p(μ≥1)的解,得到了几个新的定理.同时,改进和推广了若干个重要结论.     

Solution of some plate bending problems using the boundary element method

Some fundamental aspects of the boundary element method of the Kirchhoff theory of thin plate flexure are given. The direct boundary integral equation method with higher conforming properties (using first-order Hermitian interpolation for plate displacement ω, and zero-order Hermitian interpolation for angle of rotation θ, the moment M andthe equivalent shear V) are used for several computational examples. They are: square plate with simply-supported or clamped edges, the same square plate with square central opening and the cantilevered triangular plates. The results of computation as compared with some known experimental and theoritical results showed that the numerical schemes seemed to be satisfactory for the practical applications.     

Banach 空间中极大单调算子扰动的值域

设X为实Banach空间, T:D(T)(?)X→2X*为极大单调算子, C: D(T)(?)X→X*为有界算子(未必连续),而C(T+J)-1为紧算子．本文在上述假设条件下,通过附加一定的边界条件应用Leray-Schauder度理论研究了下述包含关系:0∈(T+C)(D(T)∩ BQ(0)),0∈(T+C)(D(T)∩ BQ(0));以及S(?)R(T+C), intS(?)intR(T+C)(其中S(?) X*);B+D(?)R(T+C),int(B+D)(?)intR(T+C)(其中 B(?)X*,D(?)X*)的可解性,得出了一些新的结论．     

ON THE CONSTRUCTION OF MAJOR AND MINOR FUNCTIONS

In this paper,we construct directly absolutely continuous major and minor functions of a function which is Lebesque integrable ,and we also construct directly continuous major and minor functions of a function which is Henstock-Kurzweil integrable.     

经济时间序列的连续参数小波网络预测模型

本文利用连续小波变换方法,给出一种连续参数小波网络。网络参数的学习采用一种类似神经网络的后向传播学习算法的随机梯度算法。另外,提出了一种借助小波分析理论指导网络参数赋初值的方法。进一步,通过对中国进出口贸易额时间序列预测建模的研究和仿真预测,提出了用连续参数小波网络建立经济时间序列预测模型的一般步骤和方法。预测结果表明,此模型具有较好的泛化、学习能力,可以有效地在数值上逼近时间序列难以定量描述的相互关系,所以利用连续参数小波网络建立的时间序列预测模型有较高的预测精度。     

Delay Perturbed Sweeping Process

This paper is devoted to the study of a nonconvex perturbed sweeping process with time delay in the infinite dimensional setting. On the one hand, the moving subset involved is assumed to be prox-regular and to move in an absolutely continuous way. On the other hand, the perturbation which contains the delay is single-valued, separately measurable, and separately Lipschitz. We prove, without any compactness assumption, that the problem has one and only one solution.     

Numerical integration of systems of delay differential-algebraic equations

The numerical solution of the initial value problem for a system of delay differential-algebraic equations is examined in the framework of the parametric continuation method. Necessary and sufficient conditions are obtained for transforming this problem to the best argument, which ensures the best condition for the corresponding system of continuation equations. The best argument is the arc length along the integral curve of the problem. Algorithms and programs based on the continuous and discrete continuation methods are developed for the numerical integration of this problem. The efficiency of the suggested transformation is demonstrated using test examples.     

Existence and nonexistence of hypercyclic semigroups

In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any separable infinite-dimensional Banach space that is very different from--and considerably shorter than--the one recently given by Bermúdez, Bonilla and Martinón. We also show the existence of a strongly dense family of topologically mixing operators on every separable infinite-dimensional Fréchet space. This complements recent results due to Bès and Chan. Moreover, we discuss the Hypercyclicity Criterion for semigroups and we give an example of a separable infinite-dimensional locally convex space which supports no supercyclic strongly continuous semigroup of operators.