Pullback Attractors for Stochastic Young Differential Delay Equations

We study the asymptotic dynamics of stochastic Young differential delay equations under the regular assumptions on Lipschitz continuity of the coefficient functions. Our main results show that, if there is a linear part in the drift term which has no delay factor and has eigenvalues of negative real parts, then the generated random dynamical system possesses a random pullback attractor provided that the Lipschitz coefficients of the remaining parts are small.

     

Packing of three copies of a graph

A graph of order n is said to be 3-placeable if there are three edge-disjoint copies of this graph in K_n. An (n, n − 1)-graph is a graph of order n with n − 1 edges. In this paper we characterize all the (n, n − 1)-graphs which contain no cycles of length 3 or 4 and which are 3-placeable. © 1996 John Wiley & Sons, Inc.     

A New Molecular Crystal: Urea Tartrate

Urea tartrate, CO(NH₂)₂(+)C₄H₆O₆ (hereafter abbraviated as UT) is reported for the first time. Large Single Crystals have been grown by the cooling method from aqueous solution. Some of its physical properties have been measured. The second harmonic generation of powder specimens is about three times larger than that of KH₂PO₄.     

Photoinitiated cationic polymerisation of multifunctional systems

Different types of tridimensional polymer networks have been synthetised by photoinitiated cationic polymerisation of vinyl ether and epoxy-functionalised oligomers and polymers. The polymerisation kinetics was followed by real-time infrared (RTIR) spectroscopy, a technique that records directly conversion versus time profiles in a timescale as short as 1 s. The addition of a diacrylate monomer was shown to accelerate the ring-opening polymerisation of epoxidized polyisoprene, with formation of interpenetrating polymer networks having well contrasted properties. A dual polymer network has been generated by photocrosslinking of a polyisoprene functionalised with both epoxy and acrylate groups.     

Design of aromatic copolyesters for use in microelectronic devices

The next generation of microelectronic devices will require design of new kinds of polymers which are tailored to display a dielectric constant as low as 2.0, a coefficient of thermal expansion (CTE) which matches the metal circuitry as well as the silicon substrate, moisture and chemical resistance, and dimensional stability at processing temperatures of 300-400°C which are required to form an adhesive bond between laminates. In our program, we have made significant progress in all of these areas through the use of liquid crystalline copolyesters (LCP's) laminated with a newly developed crosslinkable copolyester. In this paper, data are presented which illustrate how films and coatings of either system can be made to adhere in the solid state by interchain transesterification reactions (ITR) at the interface. Ability to foam the crosslinkable copolyester films provides direct control over the dielectric constant. The effect of pore size and distribution on the dielectric constant will be discussed. The potential to dramatically increase the melting point of the LCP's through high temperature annealing is also discussed.     

Kinetic model of living radical polymerization

This work studies the kinetics of living radical polymerization by means of both the nonsteady state approach and the quasi-stationary state method. Expressions for the numberand weight-average degress of polymerization and the polydispersity index were derived. Numerical results show that the concentration of residual initiator seriously influences the polydispersity index of the resulting polymer. The calculated outcomes of the non-steady state approach are evidently different from those of the quasi-stationary state method when the magnitude of the rate constant of termination is comparable with that of the propagation rate constant, and the difference becomes negligible if the rate constant of the termination (k_t) is much larger than that of propagation (k_p). The polydispersity index of the resulting polymer increases with decreasing ratios of k_t to k_p or M_O to I_O (initial concentrations of monomer and initiator).     

适用于雷达系统的高温超导窄带滤波器

对雷达系统,通过在接收前端安置高Q、窄带、高带外抑制的滤波器,可以有效减少信号间的干扰,由此可见高性能的滤波器对于雷达系统来说,具有重要作用.与常规滤波器相比,高温超导滤波器具有带边陡峭、插入损耗小、带外抑制高、可以设计极窄带等特点.在本文中,我们设计加工了一种高性能的12阶切比雪夫(Chebyshev)高温超导带通滤波器,其中心频率为1341兆赫兹、带宽为5.035兆赫兹,可用于雷达系统.在滤波器设计中,我们用Sonnet软件对滤波器进行了仿真计算.最后滤波器在以氧化镁为衬底的双面超导薄膜上制作,衬底直径为2英寸、厚度为0.5毫米.测试结果表明,该滤波器符合设计要求,具有很好的选择性和带外抑制.     

一类交错级数的收敛定理

讨论和分析了一类交错级数的收敛问题,给出了异于莱布尼兹判别法的关于交错级数的一个收敛定理.我们的结论还推广了正项级数的拉阿伯判别法的使用范围.     

非对称量子阱中非线性光学吸收系数的计算

非对称量子阱中的非线性光学效应因其潜在的实用价值而引起人们的广泛关注,而量子阱内带间的光学吸收问题对研究远红外光学探测器件具有重要的理论指导意义.以Pschl-Teller势阱为例研究了影响非对称量子阱中的非线性光学吸收系数的因素.考虑到带间的电子弛豫,用量子力学中的密度矩阵算符理论导出了Pschl-Teller势阱中的线性与三阶非线性光学吸收系数的表达式.因该势阱中有两个可调参数,通过调节系统的参数,发现该系统的非线性光学吸收系数呈规律性的变化.以典型的GaAs/AlGaAs非对称量子阱为例作了数值计算,通过调节系统的参数,数值计算结果表明,入射光强以及系统的非对称性对量子阱的非线性光学吸收系数有较大的影响,从而为实验上研究非对称量子阱的非线性光学效应提供了必要的理论依据.     

贪婪格点路径的一些性质

设{Xv:v∈Zd}是一族独立同分布的随机变量序列,对Zd上的任意一路径π,定义S(π)=∑v∈πXv,记Mn=maxπ∈Π0(n)S(π),Π0(n)表示从原点出发大小为n的自不相交的路径的全体.论文讨论Mn的性质,得到了类似完全收敛性的结果,即对任意的ε>0,∑∞n=11nPMnn-M>ε<∞.另外还讨论了Xv允许取负值的情形,得到类似的结果,从而推广了Gandolfi和Kesten所研究的贪婪格点路径模型.