台湾“中华珠算学术研究会”成立

近年来，正在掀起珠算热的台湾省又多了一个珠算学术团体。由台湾台北市立松山高级商业职业学校校长李锡津先生创办的台湾“中华珠算学术研究会”近日经台湾省批准正式成立。     

RESEARCH ANNOUNCEMENTS Persistent Homoclinic Orbits for a Perturbed Coupled Nonlinear Schr(?)dinger System

We consider the following perturbed coupled nonlinear Schrodinger system (CNLS)Where qj(j=1,2) is 2π-periodic and even about x,ε denotss a small perturbation paramater0 <ε<<1,αj,βj,γj (j=1, 2), and w are positive real constants, D is a bounded dissipatireoperator and is assumed to take the form     

DYNAMICAL CHARACTER FOR A PERTURBED COUPLED NONLINEAR SCHRDINGER SYSTEM

Introduction WeconsidertheperturbedcouplednonlinearSchr dingerequations(CNLS)iq1t=q1xx 2[|q1|2 |q2|2-ω2]q1 iε(^D1q1-r1),iq2t=q2xx 2[|q1|2 |q2|2-ω2]q2 iε(^D2q2-r2),(1)whereqjis2πperiodicandeveninx.rjisconstant,^Djisboundeddissipativeoperatorand assumedtotaketheform^Djqj=-αjqj βj^Bqj,(2)αjandβjarepositiveconstants,j=1,2.^BisaFouriertruncationofLaplaceoperator xx,i.e.,^Bcos(kx)=-k2cos(kx),k0isasmallperturbation parameter.Th…     

DYNAMICAL CHARACTER FOR A PERTURBED COUPLED NONLINEAR SCHRODINGER SYSTEM

The dynamical character for a perturbed coupled nonlinear Schrodinger system with periodic boundary condition was studied. First, the dynamical character of perturbed and unperturbed systems on the invariant plane was analyzed by the spectrum of the linear operator. Then the existence of the locally invariant manifolds was proved by the singular perturbation theory and the fixed-point argument.     

全国各地珠算专家学者聚集长春进行算理算法研讨

中国珠算协会算理算法专业委员会98年年会暨理论研讨会,于7月16日至18日在长春市吉林省宾馆召开。来自全国各地的珠算专家学     

THE BIRTH AND DEATH PROCESSES WITH ZERO AS THEIR ABSORBING BARRIER

Let E=(0,1,…),Q~b=(q_(ij)),i,j=0,1,…,where q_(i,i-1)=a_i,q_(i,i+1)=b_i,q_(ii)=-(a_i+b_i),q_(ij)=0,when|i-j|>1.a_0=0,b_0=b>0,a_i,b_i>0(i>0).Letting b=0 in Q~b,we get the matrix Q~0.The time homogeneous Markov process X~b={x~b(t,ω),0≤t<σ~b(ω)}(X~0={x~0(t,ω),0≤t<σ~0(ω)}),with Q~b(Q~0,respectively)as its density matrix and with E as its state space,is called Q~b(Q~0,respectively)process in this paper.Q~b and Q~0 processes are all called the birth and death processes,with zero being the reflecting barrier of Q~b processes,the absorbing barrier of Q~0 processes.All the Q~b processes have been constructed by both probability and analytical methods(Wang [2],Yang[1]).In this paper,the Q~0 processes are“imbedded.”into Q~b processes and all the Q~0 processesare directly constructed from the Q~b processes.The main results are:Let b>0 be arbitrarily fixed,then there is a one to one correspondence between the Q~0 processesand the Q~b processes(in the sense of transition probability).The Q~0 process is uni     

三维无界区域上耗散Klein-Gordon-Schr dinger方程的指数吸引子

文[1]证明了耗散Klein-Gordon-Schrdinger方程在X(R3)中具有一个最大吸引子,本文在文[1]的基础上得到了该方程在X(R3)中拥有一个指数吸引子.     

扰动非线性Schroedinger方程组的动力性态

研究具周期边界条件的扰动非线性Schroedinger方程组的动力性态，首先，在常值平面上用线性算子的谱对扰动和未扰动系统进行动力性态分析，然后利用奇异扰动理论和不动点原理证明局部不变流形的存在性．     

二氧化碳与环氧丙烷共聚稀土改性羧酸锌催化剂的研究：（Ⅰ）催化剂的？…

用稀土氧化物Ｌｎ２Ｏ３（Ｌｎ：Ｌａ,Ｎｄ,Ｅｕ,Ｈｏ,Ｙｂ,Ｓｍ）对戊二酸锌进行改性,制备出新催化剂。在８０℃,３．０￣３．５ＭＰａ条件下,该催化剂催化二氧化碳与环氧丙烷共聚,反应时间为６．５￣７．０ｈ,催化活性达到３．０￣３．４ｇ ｐｏｌｙｍ．／（ｇｃａｔ．·ｈ）,转化率７０．８％￣７９．７％,共聚物中碳酸酯单元分数４８．４％,产品热分解温度２３８．１℃。     

多粘类芽孢杆菌BS04拮抗成分分离纯化及其特性

用改良的琼脂孔扩散实验进行生物活性跟踪,分离纯化了多粘类芽孢杆菌BS04的拮抗成分,将纯化样品溶解在水中,测定其对青枯假单胞菌的拮抗作用,结果显示BS04拮抗成分能耐受广泛的pH,并且热稳定性好,活性不受蛋白酶K和胰蛋白酶影响,这些说明细菌BS04具有作为生物防治制剂的潜力。同时,拮抗成分的薄层层析、红外光谱以及质谱结果暗示此活性成分可能为4个分子量相近的肽类物质。