时滞Logistic方程与不等式解的振动性与渐近性

本文研究了时滞Ｌｏｇｉｓｔｉｃ方程与不等式关于方程平衡占的振动与非振动解的渐近性问题，得到了一些新的充分条件。本文的结果推广并改进了若干已知的定理。     

一阶线性脉冲时滞微分不等式和方程

本讨论一类一阶线性脉冲时滞微分不等式和方程解的振动性质，获得了此类不等式免最终正解或最终负解以及方穆所有解振动的新的充分条件。     

基于次谐波调制光注入半导体激光器获取窄线宽微波信号的实验研究

实验研究了处于单周期振荡的光注入半导体激光器在频率等于单周期振荡频率一半的1/2次谐波调制下所产生的微波信号的特性.实验结果显示:在合适的注入条件下,处于单周期(P1)振荡的光注入半导体激光器可输出频率可达26.5 GHz、光谱具有单边带结构的光生微波信号,但微波信号的线宽比较宽(MHz量级);通过采用频率为单周期振荡频率一半的次谐波信号调制光注入半导体激光器,可将微波线宽从十几MHz压缩到几十k Hz.进一步分析了次谐波调制信号的功率以及频率对微波信号的相位噪声的影响,并在由次谐波调制信号的功率和频率构成的参数空间绘制出了能实现次谐波频率锁定的分布区域.     

Global Attractivity of the Equilibrium of a Nonlinear Difference Equation

The authors consider the nonlinear difference equation x_n+1=x_n+x_n-kf(x_n-k),n=0,1,(0.1) where (0,1), k 0,1, and f C¹[[0,), [0,)] with f(x) < 0.They give sufficient conditions for the unique positive equilibrium of (0.1) to be a global attractor of all positive solutions. The results here are somewhat easier to apply than those of other authors. An application to a model of blood cell production is given.     

具有时滞的非线性强迫微分方程振动的充分必要条件

对于一类特殊的具有时滞的二阶次线性强迫微分方程x"(t) +a (t)|x(τ(t))|γsgnx(τ(t)) =g(t)(0＜τ＜1),给出了它的所有解振动的一个充要条件.     

Oscillatory and Asymptotic Behavior for Second Order Quasilinear Difference Equations

1 IntroductionConsider the second order quasilinear difference equationA(g(Ay.--l)) + f(n,y.) = 0, for n E N(no), (l'l)where A is defined by Ay. = Vn+1--yn, n E N(no) = {no, no + 1,'' }, nO E N = {l, 2,'. }.The following hold throughout the paPer:(H0) (i) g: R-R is a continuous increasing fUnction with propertiessgng(y) = sgny) g(R) = R;(il) f: N(no) x R--+ R is continuous as a function of y E R;(iii) yf(n,y) > 0 for n E N and y / 0.By a solution of the equation (1.l) we mean a non…     

CONVERGENCE OF SOLUTIONS FOR RLC-NONLINEAR NETWORKS WITH TIME-VARYING ELEMENTS

ＣＯＮＶＥＲＧＥＮＣＥＯＦＳＯＬＵＴＩＯＮＳ　ＦＯＲＲＬＣ－ＮＯＮＬＩＮＥＡＲＮＥＴＷＯＲＫＳＷＩＴＨＴＩＭＥ－ＶＡＲＹＩＮＧＥＬＥＭＥＮＴＳ￥ＪｉａｎｇＪｉｊａ（蒋断发）（Ｄａｐｔ．ｏｆＭａｔｈ．，ＵｎｉｖｅｒｓｉｔｙｏｆＳｃｉｅｎｃｅａｎｄＴｅｃ...     

核磁共振实验和铁磁共振实验的搭建思想分析

本文剖析了核磁共振实验和铁磁实验的构建思想,从基本构建思想出发,分析了各实验装置的作用,以拓展学生知识,提高实验的设计性,激发学生的学习兴趣.在实验教学实践中取得了很好的教学效果.     

Perfect Baer Subplane Partitions and Three-Dimensional Flag-Transitive Planes

The classification of perfectBaer subplane partitions of PG(2, q²) is equivalentto the classification of 3-dimensional flag-transitive planeswhose translation complements contain a linear cyclic group actingregularly on the line at infinity. Since all known flag-transitiveplanes admit a translation complement containing a linear cyclicsubgroup which either acts regularly on the points of the lineat infinity or has two orbits of equal size on these points,such a classification would be a significant step towards theclassification of all 3-dimensional flag-transitive planes. Usinglinearized polynomials, a parametric enumeration of all perfectBaer subplane partitions for odd q is described.Moreover, a cyclotomic conjecture is given, verified by computerfor odd prime powers q < 200, whose truth would implythat all perfect Baer subplane partitions arise from a constructionof Kantor and hence the corresponding flag-transitive planesare all known.     

具正负系数的二阶不稳定中立型微分方程的振动性

本文研究了一类具正负系数的二阶不稳定中立型微分方程,得到了方程的所有有界解都振动的充分判据。