转移开、闭集值映象和H－KKM定理的推广及应用

本文中，我们引入转移开、闭集值映象的概念，推广了Ｈ－空间中的ＫＫＭ定理￣［４］．然后用所得的结果证明了几个重合定理、匹配定理和向量值极大极小不等式。这些结论推广了近期文献［１，２，４，５，６，７］中的相应结果。     

A new method for quantitative determination of two uronic acids by CZE with direct UV detection

A new method using capillary zone electrophoresis was developed for the rapid quantification of two common uronic acids, galacturonic acid and glucuronic acid, based on utilization of an alkaline background electrolyte with reversed electroosmotic flow (EOF) within 16 min. The method relies on in‐capillary reaction and direct UV detection at the wavelength 270 nm. The optimum electrolyte solution was prepared of 130 mm sodium hydroxide, 36 mm disodium hydrogen phosphate dihydrate and 0.5 mm cetyltrimethylammonium bromide. EOF was reversed to detect uronic acids and to improve the separation of neutral sugars. The established method was validated and the results showed good linearity, high precision and satisfactory sensitivity. The newly developed method was successfully applied to analyze galacturonic acid and glucuronic acid content in Forsythia suspensa polysaccharides. The method is fast since only sample hydrolysis and dilution are required in the sample preparation. Copyright © 2010 John Wiley & Sons, Ltd.     

Generalized variational inequalities and minimax theorems

In the present paper we-discuss the variational problem of operator which maps aHausdorff topological linear space into a Riesz space.We give absolute inequality andrelative inequality.respectively.     

TRANSFER OPEN OR CLOSED SETVALUED MAPPING AND GENERALIZ－ATION OF H－KKM THEOREM WITH APPLICATIONS

ＴＲＡＮＳＦＥＲＯＰＥＮＯＲＣＬＯＳＥＤＳＥＴＶＡＬＵＥＤＭＡＰＰＩＮＧＡＮＤＧＥＮＥＲＡＬＩＺ－ＡＴＩＯＮＯＦＨ－ＫＫＭＴＨＥＯＲＥＭＷＩＴＨＡＰＰＬＩＣＡＴＩＯＮＳＬｉＢｉｎｇ－ｙｏｕ（李秉友）;ＳｕＪｉａ－ｂａｏ（苏家宝）（Ｄｅｐａｒｔｍｅｎｔ...     

Fixed point theorem of nonexpansive mappings in convex metric spaces

Let X be a convex metric space with the property that every decreasing sequence of nonenply dosed subsets of X with diameters tending to has menemptyintersection. This paper proved that if T is a mapping of a elosed conver nonempty subset K of X into itself satisfying the inequality:d(T_x,T_y)≤ad(x,t)+b{d(x,T_x)+d(y,T_y)}+c{d(x,T_x)+d(y,T_y)}for all x,y in K,where 0≤a<1,b≥0,c≥0,a+c≠0 and a+2b+3c≤1, then T has a unique fixed point in K.     

瓦斯爆炸压力与波前瞬态流速演化特征及其定量关系

为了建立爆炸波前的瞬态流速和超压的定量关系,采用数值模拟的方法分别研究了开口型方管内瓦斯爆炸超压和瞬态流速传播特征。研究结果表明:开口型方管内,波前瞬态流速和超压的波形曲线的峰值个数不一样,而且超压峰值总是早于波前瞬态流速峰值出现。大部分情况下,方管横截面边长越大,其超压峰值相对较小,并且超压峰值沿传播方向呈现降低趋势。波前瞬态流速峰值沿传播方向呈不断增长趋势,而且方管横截面边长越大,其峰值也相对较小。长径比(方管长度与横截面边长之比)小于125时,超压峰值与波前瞬态流速峰值的定量关系始终呈现线性反比关系;大于或等于125时,超压峰值和波前瞬态流速峰值的定量关系呈分段关系。研究结果可为爆炸冲击波扬尘的研究提供基础数据。