具有开发的非自治单种群生态系统研究

研究了具有开发的单种群非自治周期系统．利用非自治微分方程理论．以及变分法理论和泛函极值的Euler方程方法,得到了该开发系统的持续生存性．周期解存在性，全局渐近稳定性．研究了在开发情况下的最大收获量问题，以及取得最大经济效益下的收获问题等．     

The semi‐iterative method applied to the hyper‐power iteration

The semi‐iterative method (SIM) is applied to the hyper‐power (HP) iteration, and necessary and sufficient conditions are given for the convergence of the semi‐iterative–hyper‐power (SIM–HP) iteration. The root convergence rate is computed for both the HP and SIM–HP methods, and the quotient convergence rate is given for the HP iteration. Copyright © 2005 John Wiley & Sons, Ltd.     

具有急慢性阶段的MSIS流行病模型阈值和稳定性结果

系统研究了具有急性和慢性两个阶段的MSIS流行病模型.由两节构成,第1节建立和研究了具有急慢性阶段的MSIS流行病模型;第2节在第1节的基础上建立和研究了具有慢性病病程的MSIS流行病模型.第1节的模型是四个常微分方程构成的方程组.第2节的模型既含有常微分方程,又含有偏微分方程.运用微分方程和积分方程中的理论和方法,得到了这两个模型再生数R0的表达式.证明了当R0<1时,无病平衡态是全局渐近稳定性,给出了各模型地方病平衡态的存在性和稳定性条件.     

Variational Derivative for Buckling Loads of Beams and Frames

The finite-difference method is a numerical technique for obtaining approximate solutions to differential equations. The main objective of the present study is to give a new aspect to the finite-difference method by using a variational derivative. By applying this formulation, accurate values of the buckling loads of beams and frames with various end supports are obtained. The performance of this formulation is verified by comparison with numerical examples in the literature __________ Published in Prikladnaya Mekhanika, Vol. 41, No. 7, pp. 139–144, July 2005.     

Upper bounds on correlation decay for one-dimensional long-range spin-glass models

Some recent results on one-dimensional spin-glass models with polynomially decreasing interactions are described.     

纳米氧化钛-乙二醇溶胶溶液的研究

选用了钛酸丁酯、硬脂酸和乙二醇作为表面活性剂，采用表面化学修饰和表面物理修饰2种方法修饰纳米氧化钛，然后分散在乙二醇溶剂中形成溶胶溶液．并通过红外光谱仪、紫外分光计、原子力显微镜，分析了表面化学修饰后的纳米氧化钛表面化学结构的变化，观测了纳米氧化钛溶胶在乙二醇溶剂中稳定性．试验结果表明表面活性剂与纳米氧化钛的表面的不饱和键之间形成了新的化学结构，粒子表面可能接枝上有机长链，提高了纳米粒子在溶剂中的相容性．表面化学修饰后的纳米氧化钛与乙二醇溶剂形成了较稳定的溶胶体系，而且纳米溶胶粒径较小．表面活性剂添加量与纳米粒子添加量控制在(1～1．2)：1时，可以获得纳米溶胶粒径较小，同时溶胶稳定性较好的纳米氧化钛-乙二醇溶胶体系．     

Generation of UV laser light by stimulated Raman scattering in D2, D2/Ar and D2/He using a pulsed Nd:YAG laser at 355nm

A pulsed Nd:YAG laser at 355nm is used to pump Raman cell filled with D_2, D_2/Ar and D_2/He. With adequately adjusted parameters, the maximum photon conversion efficiency of the first-order Stokes light (S_1, 396.796nm) reaches 33.33% in D_2/Ar and the stability of S_1 in pure D_2 is fairly high, the energy drift being less than 10% when the pump energy drifts in the range of 5%. The conversion efficiency and stability, which are functions of the composition and pressure of the Raman medium and the energy of pump laser, are investigated. The result has been used to optimize the laser transmitter system for a differential absorption lidar system to measure NO_2 concentration profiles.     

Asymptotics of estimates in constrained nonlinear regression with long-range dependent innovations

The purpose of this paper is to investigate the asymptotic properties of the least squares estimates (L ₂-estimates) and the least absolute deviation estimates (L ₁-estimates) of the parameters of a nonlinear regression model subject to a set of equality and inequality restrictions, which has a long-range dependent stationary process as its stochastic errors. Then we will compare the asymptotic relative efficiencies of the above estimators.     

三阶脉冲线性微分方程解的振动性与渐近性

给出引理解决了方程非振动解与其各阶导数的符号关系，并由此得到了若干判别准则，用于判别三阶线性脉冲微分方程解的振动性与渐近性，举例说明了准则的有效性。本文推广了相关文献的结果。     

Stability and Nonlinear Deformation of Cylindrical Grids

The general stability of single-layer cylindrical grids is studied in linear and nonlinear formulations. Dependence of the general buckling load on the geometry and stiffness parameters of a grid is established in an analytical form. Such grids are numerically analyzed for stability. It is established that the general buckling load is much less than the local buckling load. Typical general buckling modes are found. It is shown that such grids are weakly sensitive to imperfections