LONG-TIME BEHAVIOR OF A CLASS OF REACTION DIFFUSION EQUATIONS WITH TIME DELAYS

The present paper devotes to the long-time behavior of a class of reaction diffusion equations with delays under Dirichlet boundary conditions. The stability and global attractability for the zero solution are provided, and the existence, stability and attractability for the positive stationary solution are also obtained.     

A Convenient and Efficient Procedure fox Oxime Ethers

Acetophenone oxime and benzaldehyde oxime were converted to oxime ethers in the presence of alkyl halide or methyl sulfate and KOH in aqueous DMSO in 5 to 70 min. The yields of oxime ethers were 70-96%.     

THE -PROBLEM FOR HOLOMORPHIC (0,2)-FORMS ON PSEUDOCONVEX DOMAINS IN SEPARABLE HILBERT SPACES AND D.F.N. SPACES

51. IntroductionL. H5.m.nd..l3] solved the 0problem by using the L2-estimates for partial differentialoperators in C'.. J. Kajiwara[4] studied infinite dimensional generalizations of the poten-tial kernel. Concerning the 0-problem in infinite dimensional spaces, P. ffeb.i.lll] investi-gated the a-equation for coc (o, 1)-forms in arbitrary pseudoconvex open subsets of separableHilbert spaces without growth condition. J. F. Colombeau and B. Perr.t[l1 showed that aCoc solution u of 0u = w ca…     

具有锥瓣形光波导的2-甲基4-硝基苯胺对Nd:YAG激光产生二次谐波

在最近几年,合成了具有极大的光学非线性的有机化合物。它们的非线性至少能与一般的非线性材料如磷酸二氢钾(KDP)或LiNbO_3相比或更大。本文研究中,采用2-甲基4-硝基苯胺(MNA)的薄晶片进行二次谐波产生的实验,MNA是用汽相生长法制备,它的非线性很大,SHG张量的最大分量d_(11)=2.5×10~(-10)m/V,品质因数比LiNbO_3大2000倍,在控温油槽(温度精度±0.1℃)内进行汽相生长。在密封玻璃管中,温度达到120℃,十天内生长出晶体。制出的MNA晶体是类似薄片的透射     

矩形波导窄边斜缝的谐振电导

本文介绍了一种确定矩形波导窄边斜缝的导纳和谐振电导的方法。利用平面波角谱和模电流的不连续性导出了缝隙导纳的表达式。当缝在宽壁上切入深度假定为零时,本方法获得的谐振电导解与史蒂文森所获得的完全一致。本文还比较了缝在宽面切入深度为3.5毫米时其谐振电导随着倾角变化的理论和实验结果。     

A Remark on a Paper of Banerjee, Lardy and Lutoborski

The paper that may be worthy of remark is entitled "Asymptotic Expansions of Integrals of Certain Rapidly Oscillating Functions" and appeared in Mathema tics of Computation, Vol. 49, No. 179(1987), 243—249.What we would like to mention is that the main result of the paper, namely an asymptotic expansion formula with a remainder estimate (cf.§3), is actually a special consequence     

用于雷达和卫星的匹配滤波器

表面波器件、电荷转移器件和大规模数字集成元件使得一些复杂而有效的匹配滤波器得以实现。本文中,G.N.鲁宾逊用一些例子说明了匹配滤波器的不同形式和用途。     

Dickson Polynomials Over Finite Fields

In this paper we will study Dickson polynomials of the first and second kinds over finite fields. For these polynomials we will discuss some known properties, point out some similarities and differences between the two kinds, and most importantly, indicate a number of open problems concerning these polynomials.     

ON THE UNIQUENESS OF THE WEAK SOLUTIONS OF A QUASILINEAR HYPERBOLIC SYSTEM WITH A SINGULAR SOURCE TERM

This paper is a continuation of the authors'previous paper[1].In this paper the authorsprove,assuming additional conditions on the initial data,some results about the existence anduniqueness of the entropy weak solutions of the Cauchy problem for the singular hyperbolicsystem a_t+(au)_x_2au/x=0,u_t+1/2(a~2+u~2)_x=0,x>0,t≥0.     

关于弹簧质量修正的演示

一个质量为ｍ的物体悬挂于质量为 Ｍ、倔强系数为 Ｋ的螺旋弹簧下端，其振动频率与一个质量为 ｍ＝ｍ＋ｐＭ的物体悬挂于具有相同倔强系数的无质量的弹簧下端时的振动频率相同．系数ｐ的范围从１／３（当ｍ》Ｍ时）变化到π２／４＝０．４１（当ｍ《Ｍ时）．用一条竖直钢带加上许多等间距的横臂构成的波的演示装置是一个等效系统．如果最下面的横臂用一个其上可以装上不同的砝码的横杆代替，则与质量比率ｍ／Ｍ相对应的系数Ｐ可以在一个相当大的范围内变化．