POSITIVE SOLUTION FOR NONLINEAR SINGULAR BOUNDARY VALUE PROBLEMS

Under suitable conditions on f(·,u), it is shown that the two-point boundaryvalue problem((u'))' + λq(t)f(u) = 0in (0, 1),u(0) = u(1) = 0,has two positive solution or at least one positive solution for λ in a compatibleinterval.     

对新编高中教材的几点意见

与老教材相比,新教材增加的向量、概率、微积分初步等内容对提高学生对现代数学的认识,为做好大学、中学数学的衔接工作很有帮助,尤其是每个章节的阅读材料和部分章节的研究性课题对激发学生学习数学的热情大有裨益.每一章的小结也写得不错.但在教学实践中师生们也发现了其中的一些问题,笔者现将它们整理如下.     

利用激光感应瞬态光栅研究超快弛豫现象

文中采用三能级速率方程和 Maxwell 方程理论导出可调谐激光感应瞬态光栅在第 i 能级上的衍射效率η_i(Δω)与能级寿命τ_i 的关系式,并对衍射线型η_i(Δω)进行讨论和分析。同时报导了我们对孔雀绿(Malachite Green)水溶液的纵向弛豫时间 T_1的实验测量结果。     

奇异P-Laplace方程存在正解的充分必要条件

讨论了一维奇异P-Laplace方程{φp（u′））′ f(t,u)=0,t∈（0,1)；u(0=u(1)=0存在C^1[0，1]或C[0，1]正解的一个充分必要条件．用到的方法主要有上下解方法和Schaude，不动点定理．     

两位大提琴新秀及其新专辑

一直以来，小提琴录音都远远多于大提琴录音。自然，大提琴的录音版本便成为了珍稀之物。我新近得到两款大提琴录音，而且是两位新秀的新录音，值得向爱乐朋友推介。     

Design of new seismometer based on laser Doppler effect

In order to improve the resolution of seismic acquisition,a new seismic acquisition system based on tangential laser Doppler effect with an optimized differential optical configuration is proposed.The relative movement of the inertia object and the immobile frame is measured by laser Doppler effect,which can avoid the electromagnetic and thermometric interference,and the adoption of frequency-modulated (FM) transmission can improve the ability of anti-jamming.The frequency bandwidth is properly determined by analyzing the frequency of the Doppler signal.The velocity, displacement,acceleration, and frequency to be measured can be real-time acquired by frequency/velocity (F/V) converting the FM Doppler signal. A 100-dB dynamic range and the linear frequency range of 1.0 to 1000 Hz are realized.     

利用非线性反射镜锁模激光器的动力学过程分析

本文报导了对基于一种新型非线性反射镜的被动锁模激光器的动力学过程进行的研究.结果指出,该锁模过程始终存在于一种动态平衡中.最后,文中给出了该锁模激光器的输出脉宽的具体表达式.