Weak Copositive and Intertwining Approximation

It is known that shape preserving approximation has lower rates than unconstrained approximation. This is especially true for copositive and intertwining approximations. ForfL_p, 1p<∞, the former only has rateω(f, n⁻¹)_p, and the latter cannot even be bounded byC f_p. In this paper, we discuss various ways to relax the restrictions in these approximations and conclude that the most sensible way is the so-calledalmostcopositive/intertwining approximation in which one relaxes the restriction on the approximants in a neighborhood of radiusΔ_n(y_j) of each sign changey_j.     

The Existence of Positive Solutions to Neutral Differential Equations

In this paper, we shall consider a class of neutral differential equations of the form

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where τ (0, ∞), σ [0, ∞), Q(t) C([t₀, ∞), R ⁺ ), r(t) C([t₀, ∞), (0, ∞)) with r(t) nondecreasing on [t₀ − τ, ∞). We shall show that all positive solutions of ( * ) can be classified into four types, A, B, C, and D, and we shall obtain sufficient and necessary conditions for the existence of A-type, B-type, and D-type positive solutions of ( * ), respectively. A sufficient condition for the existence of C-type positive solutions of ( * ) is also given. Finally, we shall offer a sharp oscillation result for all solutions of ( * ). Our results generalize and improve those established in B. Yang and B. G. Zhang (Funkcial. Ekvac.39 (1996), 347–362).     

Bi2212晶须中磁通线运动临界电流的反常现象

我们对同一Ｂｉ２２１２晶须样品加不同方向的磁场,比较了Ｈ∥ｂ和Ｈ∥ｃ两种情况下的Ｉ－Ｖ曲线。我们发现,当Ｈ∥ｃ时,驱动磁通线运动的临界电流Ｉｃ与温度的关系遵循一般的单调地随温度上升而下降的关系。但是,当Ｈ∥ｂ时,Ｉｃ在Ｔ＾＊＝２５．５Ｋ附近出现了一个峰值：当Ｔ〉Ｔ＾＊时,Ｉｃ温度的下降而升高;Ｔ〈Ｔ＾＊时,Ｉｃ随温度的下降而下降。我们在文章中对此现象进行了讨论。     

磁通钉扎液体的动力学特性

依据Ｍａｌｏｚｅｍｏｆｆ和Ｇｒｉｅｓｓｅｎ等建议的表征高温超导体有效钉扎势的唯象表式Ｕ（Ｔ,Ｂ,Ｊ）＝Ｕｏ（Ｔ,Ｂ）／μ（Ｔ,Ｂ）［Ｊｃ（Ｔ,Ｂ）／Ｊ）＾μ（Ｔ,Ｂ）－１］和热激活涡旋运动模型,并通过ＹＢａ２Ｃｕ３Ｏ７－δ薄膜直流传输特性的测量结果,利用“函数唯一性”数据处理方法,研究了钉扎液体的玻璃态指数μ（Ｔ,Ｂ）随温度与外磁场的负值函数形式。以及钉扎势垒Ｕｏ（Ｔ,Ｂ）和Ｊｃ（Ｔ,Ｂ）随外场与     

Design criteria of a chemical reactor based on a chaotic flow

We consider the design criteria of a chemical mixing device based on a chaotic flow, with an emphasis on the steady-state devices. The merit of a reactor, defined as the Q-factor, is related to the physical dimension of the device and the molecular diffusivity of the reactants through the local Lyapunov exponents of the flow. The local Lyapunov exponent can be calculated for any given flow field and it can also be measured in experimental situations. Easy-to-compute formulae are provided to estimate the Q-factor given either the exact spatial dependence of the local Lyapunov exponent or its probability distribution function. The requirements for optimization are made precise in the context of local Lyapunov exponents. (c) 1999 American Institute of Physics.     

Studies on the thermal decomposition of N,N'-ethylenebis(salicylideneiminato) diaquochromium(III) nitrate

A complex of N,N'-ethylenebis(salicylideneiminato)diaquochromium(III) nitrate, [Cr(salen)(H₂O)₂]NO₃ was characterized and its decomposition mechanism was studied by TG. The IR spectrum and X-ray analysis were examined for the complex. The non-isothermal kinetic data were analyzed by means of the Achar method and the Coats—Redfern method. The most probable kinetic model function was suggested by comparison of the kinetic parameters.This revised version was published online in November 2005 with corrections to the Cover Date.     

Purification and magnetic properties of carbon nanotubes

Received: 5 January 1998     

Zn_（1－x）Mg_xS_ySe_（1－y）四元半导体合金的拉曼散射光谱研究

用分子束外延方法在ＧａＡｓ（１００）衬底上生长了Ｚｎ１－ｘＭｇｘＳｙＳｅ１－ｙ四元半导体合金薄膜．用Ｘ－射线衍射方法确定了外延层的结构和晶格常数．测量了这些样品在平行和垂直两种不同几何配置下的拉曼散射光谱并对其特性做了研究。从实验上观察到了四类不同的晶格振动模：类ＺｎＳｅ的ＴＯ和ＬＯ模以及类ＺｎＳ和类ＭｇＳ的ＬＯ模，实验发现：在ＺｎＳｅ和ＺｎＳＳｅ中加入Ｍｇ使得类ＺｎＳｅ的ＴＯ和ＬＯ模的振动频率下降；同时，也使类ＺｎＳ模的频率随Ｓ的增加率减小。