Banach空间二阶非线性微分方程的弱Carathéodory解

本文定义了二阶微分方程的弱 Carathéodory解 ,在不涉及紧型条件的情形下 ,直接用迭代法证明了 Banach空间二阶非线性常微分方程两点边值问题存在唯一解 ,并给出逼近解迭代序列的误差估计 ,对周期边值问题得到类似的结果     

The influence of temperature gradients on the kinetic boundary layer problem for a condensing droplet

We extend an earlier method for solving kinetic boundary layer problems to the case of particles moving in aspatially inhomogeneous background. The method is developed for a gas mixture containing a supersaturated vapor and a light carrier gas from which a small droplet condenses. The release of heat of condensation causes a temperature difference between droplet and gas in the quasistationary state; the kinetic equation describing the vapor is the stationary Klein-Kramers equation for Brownian particles diffusing in a temperature gradient. By means of an expansion in Burnett functions, this equation is transformed into a set of coupled algebrodifferential equations. By numerical integration we construct fundamental solutions of this equation that are subsequently combined linearly to fulfill appropriate mesoscopic boundary conditions for particles leaving the droplet surface. In view of the intrinsic numerical instability of the system of equations, a novel procedure is developed to remove the admixture of fast growing solutions to the solutions of interest. The procedure is tested for a few model problems and then applied to a slightly simplified condensation problem with parameters corresponding to the condensation of mercury in a background of neon. The effects of thermal gradients and thermodiffusion on the growth rate of the droplet are small (of the order of 1%), but well outside of the margin of error of the method.     

一类广义Liénard系统解的有界性

研究了一类广义 Liénard系统dxdt=p(y) -F(x) ,　 dydt=-g(x) (E)解的有界性 .首先获得了系统 (E)存在无界解的两个新的充分条件 ,然后获得系统 (E)所有解正向有界的若干充分条件和充要条件 ,所获结果改进和扩展了文 [1 -2 ]中的相应结果 .     

一类具时滞的Liénard型方程的周期解

考虑一类具时滞的 Liénard型方程x+f[x(t) ]x(t) +g[t,x(t-τ(t) ) ]=p(t) =p(t+T) ,利用重合度理论 ,获得了此方程至少存在一个 T周期解的充分条件     

2，6－二氨基吡啶与苦基氯的反应历程研究

对２，６－二氨基吡啶与苦基氯的反应历程进行了研究。通过二氨基吡啶与几种多硝基卤代苯的反应、溶剂效应、ＮａＦ的促进作用和紫外光谱吸收，证实该反应属于芳香族亲核取代反应类型，按加成－消除历程进行，反应过渡态涉及一个Ｍｃｉｓｅｎｈｅｉｍｅｒ络合物。     

微波照射合成不对称1，4－二氢吡啶的研究

微波照射合成不对称１，４－二氢吡啶的研究张雅文，沈宗旋，潘备，杨海康，陆新华，陆澄容（苏州大学化学系苏州２１５００６）关键词缩合，二氢吡啶，微波Ｈａｎｔｚｓｃｈ合成是制备１，４－二氢吡啶的经典方法。这一合成的改进方法之一是３－氨基巴豆酸酯与醛和乙酰乙...     

冠醚共缩聚物的合成与性能（Ⅱ）

采用２，６－二羟甲基苯酚类化合物分别与单苯并冠醚（Ｂ１５ＣＳ、Ｂ１８Ｃ６）和Ｍ苯并冠醚（２Ｂ１８Ｃ６、２Ｂ２４Ｃ８、２Ｂ３０Ｃ１０）在酸催化下缩聚，合成了两个系列冠醚共缩聚物．这些聚合物Ｍ＝１２００—４５００，可溶于氯仿等溶剂，萃取性能和络合选择性均有所提高．作为树脂使用，动态吸附容量为０．０５—０．１５ｍｍｏｌ／ｇ，并有较好的色谱特性．     

碳苷合成研究——3-β-D-吡喃木糖基-1,2,4-氧杂二唑类化合物的合成

本文研究了1-(2,3,4-三-O-苯甲酰-β-D-吡喃木糖基)-偕氨基肟与酸酐及酰氯的缩合反应,探讨了不同缩合剂、不同取代基对环合反应的影响,与酸酐反应可以一步完成,且收率较好;与酰氯反应分两步进行,第一步酰化,第二步脱水环合,芳环上取代基的电性效应,决定环合反应的难易,并证明了该环系的碳苷对酸、碱、热具有化学稳定性,本文合成了12个氧杂二唑类木糖碳苷及2个木糖基化的开环产物,通过光谱及元素分析,确定了它们的结构。     

3,4—二乙酰基—2,5—己二酮与取代苯胺及水合肼的反应

以乙酰丙酮（１）的电氧化偶联产物３，４－二乙酰基－２，５－己二酮（２）为原料，在酸性介质中与取代苯胺（３ａ￣３ｇ）作用，得到１，４－二羰基的缩合产物２，５－二甲基－３，４－二乙酰基－１－芳基吡咯（４ａ￣４ｇ）。在相似的条件下，２与水合肼作用，则得到１，３－二羰基的缩合产物３，３＇，５，５＇－四甲基－１，１＇－二氢－４，４＇－联吡唑（５）。     

Reactions of Cyanomethanesulfonamides with Aldehydes and Synthesis of 2-Benzyl-2,3-dihydrobenzopyrano[3,2-e] [1,2,4]thiadiazine 1,1-Dioxides

Summary.  Reactions of cyanomethanesulfonamides with aromatic aldehydes in the presence of AcOH and piperidine produced the addition products, the 1-cyano-2-arylethenesulfonamides, whereas reactions with benzonitrile yielded the 2-amino-1-cyano-2-phenylethenesulfonamides only when done in THF with BuLi. No addition products were isolated from the analogue reactions with 2-hydroxybenzaldehyde (salicylaldehyde). Instead, we obtained 2-imino-2H-chromene-3-sulfonamides with good to excellent yields. These 2H-chromene derivatives allowed a number of transformations, from which the reactions with orthoformates opened an approach to the hitherto unknown benzopyrano[3,2-e] [1,2,4]thiadiazine ring system.