一类非线性方程存在多个极限环的一个充分条件

关于方程(1)的极限环唯多性问题,不少人作了研究,[1]引进“n重互相包含”曲线类,,经[2]的改进获得较好的结果,但这类曲线要求的条件较多。本文不从[1]的观点出发,不包含[1]的全部条件,独立地用①11。’,LtnnoB变换折叠相平面,据轨线与折叠线交点的位置,对(1)的等价方程按线性方程积分,将积分的正负项作成比值进行比较,得出一组充分条件。     

The Compactness of Commutators on the Heisenberg Group

We consider the commutators of the HSrmander multiplier with CMO-functions on the Heisenberg group. The result of compactness on L^P spaces is proved.     

白光干涉条纹变密的原因探讨

讨论了在测定透明介质折射率的过程中彩色条纹变密的现象，并在其基础上分析其成因：一是由于媒质折射率加大；二是由于平形板介质平行度不好造成楔形的倾角变大，最后在实验中验证了理论结果。     

Alternative Approach to the Concept of Shape Invariance in Quantum Mechanics

It is shown that in the case of shapeinvariance, with the use of the mixing functionformalism, exact solvability of the Schrodinger equationcan be obtained without recourse to the technique ofsupersymmetrization. Some consequences of the method are outlinedand illustrated by specific examples.     

Synthesis and nuclear magnetic resonance analysis of starch‐g‐poly(1,4‐dioxan‐2‐one) copolymers

A new biodegradable starch graft copolymer, starch‐g‐poly(1,4‐dioxan‐2‐one), was synthesized through the ring‐opening graft polymerization of 1,4‐dioxan‐2‐one onto a starch backbone. The grafting reactions were conducted with various 1,4‐dioxan‐2‐one/starch feed ratios to obtain starch‐g‐poly(1,4‐dioxan‐2‐one) copolymers with various poly(1,4‐dioxan‐2‐one) graft structures. The microstructure of starch‐g‐poly(1,4‐dioxan‐2‐one) was characterized in detail with one‐ and two‐dimensional NMR spectroscopy. The effect of the feed composition on the resulting microstructure of starch‐g‐poly(1,4‐dioxan‐2‐one) was investigated. © 2004 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 42: 3417–3422, 2004     

商标数据库存储模式及其检索算法研究

依据商标专家的先验知识和基于内容的图像检索技术，提出了一种新的商标库存储结构，并依据该存储结构设计了以三级检索算法为核心的实用商标登记注册管理系统，对于检索算法，一级检索采用人工确认，二级检索采用傅立叶描述子作为边缘特征向量，三级检索采用hu不变矩组作为矩特征向量，从而达到提高商标申请注册中的检索速度和查准率。     

Digisorb 2600型物理吸附仪真空系统检漏、故障分析及对策

就Ｄｉｇｉｓｏｒｂ２６００型物理吸附仪的真空系统拟出了表格形式的基本检漏步骤，并在此基础上详细介绍了几例特殊真空故障的查找，分析及解决方法。     

二维网状铜(Ⅱ)配合物的合成及晶体结构表征

A Cu(Ⅱ) complex [Cu(L)_1.5(OSO₃)]·3H₂O (1) [L=1,4-bis(imidazol-1-yl)benzene] was synthesized by reaction of ligand L with CuSO₄·5H₂O using solvothermal method and its structure was determined by X-ray crystal structure analysis. The structure indicates that the complex crystallizes in triclinic, space group P1 with a=0.948 8(2), b=1.078 5(2), c=1.108 4(2) nm, α=74.820(2), β=81.331(2), γ=72.638(2)°, V=1.041 5(3) nm³, Z=2, D_calc=1.687 g·cm^-3, F(000)=544, μ=1.205 cm^-1, the final R=0.062 3 and wR=0.132 8. The Cu(Ⅱ) atom has distorted square-pyramidal environment with a N₃O₂ donor set. Each L ligand links two Cu(Ⅱ) atoms using its imidazole groups to form an infinite one-dimensional (1D) ladder-like chain, which further linked by SO₄^2- to form a two-dimensional (2D) network structure. The 2D sheets are further connected by C-H…O hydrogen bonds to give a three-dimensional (3D) structure. CCDC: 650388.     

Sm_(0.5)Sr_(0.5)CoO_3阴极氧还原动力学

利用极化、交流阻抗技术考察了担载于La0.9Sr0.1Ga0.8Mg0.2O3(LSGM)电解质上的Sm0.5Sr0.5CoO3-La0.8Sr0.2Ga0.8Mg0.15Co0.05O3(SSC-LSGMC5)复合阴极的氧还原反应动力学.在SSC-LSGMC5阴极氧还原反应的阻抗谱中可以观察到明显的两个半圆.高频环的电导与氧分压无关,低频环的电导正比于氧分压的0.5次方.并且低频环的氧分压级数随着反应温度的降低而减小,可能对应于吸附氧原子的扩散过程.SSC-LSGMC5极化曲线与经典的Butler-Volmer方程吻合.阴、阳极的电荷转移系数均为1左右,交换电流密度的氧分压级数为1/4,对应于电荷转移过程.实验结果显示SSC-LSGMC5上的氧还原反应机制随反应条件的不同而发生变化.     

2,4-二甲氧基苯甲酰氯的合成

2,4-二羟基苯甲酸与硫酸二甲酯经甲基化反应得到2,4-二甲氧基苯甲酸(3);3与SOCl2发生氯化反应合成了2,4-二甲氧基苯甲酰氯(4)。较佳的氯化反应条件为:325mmol,苯70mL,AlCl3250mg,回流反应1.5h,重结晶溶剂为石油醚(90℃～120℃),总产率达74.1%。2～4的结构经1HNMR和FT-IR表征。