一类非线性积分,微分方程的逼近解

在不主紧型条件和耗散型条件的情形下，得到了Ｂａｎａｃｈ空间中一类非线性积分，微分方程的逼近解。     

THE LARGE TIME BEHAVIOR OF SPECTRAL APPROXIMATION FOR A CLASS OF PSEUDOPARABOLIC VISCOUS DIFFUSION EQUATION

The asymptotic behavior of the solutions to a class of pseudoparabolic viscous diffusion equation with periodic initial condition is studied by using the spectral method. The semidiscrete Fourier approximate solution of the problem is constructed and the error estiation between spectral approximate solution and exact solution on large time is also obtained. The existence of the approximate attractor AN and the upper semicontinuity d(AN,A)→0 are proved.     

Modulation Frequency Multiplexed Tunable Diode Laser Spectroscopy System for Simultaneous CO, CO2 Measurements

A modulation frequency multiplexed dual diode-laser system is developed for simultaneous detection of the two most common fire gas products CO and CO2. Simultaneous detection is achieved by modulating each laser at different frequencies, demodulating the signal by a pair of lock-in amplifiers for each gas. Laser beams are combined and detected by one detector after passing through an identical optical path. The experimental results show little performance degradation associated with modulation frequency multiplexing, and no cross-talk between the two multiplexed detection channels is measured.     

ON SOME INTEGRATION BY PARTS FORMULATE FOR THE ASP-INTEGRAL

The main results of this paper are as follows；Let F be approximately continuous on[a,b]and g be of bounded variation on[a,b]. Then (APS)∫^ba Fexists if and only if (APS)∫^ba gdf existe. Furthermore,suppose (APS)∫^ba Fdy or (APS)∫^ba gdF exists, then we have (APS)∫^ba Fdg (APS)∫^bagdf=F(b)g(b)-F(a)g(a)     

Self-Mixing Interference in Dual-Polarization Microchip Nd：YAG Lasers

The self-mixing interference in dual-polarization microchip Nd: YA G lasers is demonstrated. Under optical feedback, the orthogonal polarization components of the laser would undergo antiphase intensity modulations; at high feedback level, the polarization switching appears. We also observe that the laser self-mixing sensitivity changes periodically with the frequency difference of orthogonal polarizations. An initial theoretical model is put out and agrees well with the experiments. The results are useful for self-mixing sensitivity enhancement and offer a new way of absolute distance measurement.     

光纤加速度传感器研究进展

光纤加速度传感器与传统加速度传感器相比，不但能抗电磁干扰，而且体小、质轻、动态范围宽、精度高、能在恶劣环境下工作，因此受到各先进国家军事与商业领域的极大重视，各种实用的光纤加速度传感器不断涌现。主要有光强调制型和相位调制型两大类。光强调制式有反射式、透射式和偏振式等等。相位调制式有Ｍａｃｈ－Ｚｅｎｄｅｒ干涉仪、Ｍｉｃｈｅｌｓｏｎ干涉仪和Ｆａｂｒｙ－Ｐｅｒｏｔ干涉仪。有一维的，也有二维的；有与水听器组合在一起的，也有与光纤陀螺仪组合的光纤加速度传感器。最小的已经做到２．５ｃｍ长，直径仅０．２５ｍｍ；测量精度已能达到１μｇ；共振频率可达到１０ｋＨｚ。为了克服温度不稳定性对测量精度的影响，人们采用了３×３耦合器解调法，双光路法，由单臂式改成推挽式等。一旦关键技术得以克服，光纤加速度传感器将会在惯性导航和其它领域发挥更重要的作用。本文将分别介绍目前各种类型光纤加速度传感器的结构、特点、走向实用化存在的问题。     

算子的最佳非负逼近和ω-非负逼近

本文中所沿用的概念和符号除特别说明外,其意义与[4,5]相同.本文主要给出了集P_δ(A)的结构以及正规算子A有唯一最佳ω-非负逼近的特征.     

Szász型算子线性组合的同时逼近

本文利用ω^2r_φλ(f,t)代替ω^r_φλ(f,t)给出了Szász-Kantorovich算子线性组合同时逼近的估计。     

D.C.隶属函数模糊集及其应用(Ⅱ)--D.C.隶属函数模糊集的万能逼近性

本文是D．C．隶属函数模糊集及其应用系列研究的第二部分。指出在实际问题中普遍选用的三角形、半三角形、梯形、半梯形、高斯型、柯西型、S形、Z形、π形隶属函数模糊集等均为D．C．隶属函数模糊集，建立了D．C．隶属函数模糊集对模糊集的万有逼近性。探讨了D．C．隶属函数模糊集与模糊数之间的关系，给出了用D．C．隶属函数模糊集逼近模糊数的e-Cellina逼近形式，得到模糊数与D．C．函数之间的一个对应算子，指出了用模糊数表示D．C．函数的问题。