四阶和一般偶数阶奇异边值问题正解的存在性

在本文中得到了四阶和一般偶数阶非线性方程奇异边值问题正解的存在性。从而推广了［１］［２］中的结果。     

Q_k(x)与F_k(x)的渐近公式

设ｎ，ｋ为自然数，Ｇ（ｎ）阶群中的同构类数，Ｆｋ（ｘ）与Ｑｋ（ｘ）分别表示不超过ｘ的自然数中使Ｇ（ｎ）＝ｋ的自然数、无平方因子自然数的个数．本文的目的是用Ｂｒｕｎ筛法证明Ｑｋ（ｘ）的条件渐近公式并对Ｆｋ（ｘ）的渐近性质做出了推测．     

苄基保护甘露糖羧酸酯的NMR研究

应用NMR技术研究了1-0-(3,5-二硝基苯甲酰基)-2、3、4、6-四-0-苄基-D-吡喃甘露糖的α、β异构体的构型和糖环上碳氢归属情况,总结了苄基保护甘露糖羧酸酯构型的确证方法及影响糖环上碳氢化学位移的一些规律;并对其它13种四苄基甘露糖羧酸酯的NMR谱进行了研究,提供了这些化合物的¹³C和¹H NMR数据.     

A comparison of some domain decomposition and ILU preconditioned iterative methods for nonsymmetric elliptic problems

In recent years, competitive domain-decomposed preconditioned iterative techniques of Krylov-Schwarz type have been developed for nonsymmetric linear elliptic systems. Such systems arise when convection-diffusion-reaction problems from computational fluid dynamics or heat and mass transfer are linearized for iterative solution. Through domain decomposition, a large problem is divided into many smaller problems whose requirements for coordination can be controlled to allow effective solution on parallel machines. A central question is how to choose these small problems and how to arrange the order of their solution. Different specifications of decomposition and solution order lead to a plethora of algorithms possessing complementary advantages and disadvantages. In this report we compare several methods, including the additive Schwarz algorithm, the classical multiplicative Schwarz algorithm, an accelerated multiplicative Schwarz algorithm, the tile algorithm, the CGK algorithm, the CSPD algorithm, and also the popular global ILU-family of preconditioners, on some nonsymmetric or indefinite elliptic model problems discretized by finite difference methods. The preconditioned problems are solved by the unrestarted GMRES method. A version of the accelerated multiplicative Schwarz method is a consistently good performer.     

On Selecting k Balls from an N-circle Without Unit Separation

Ｏｎ　Ｓｅｌｅｃｔｉｎｇ　ｋ　Ｂａｌｌｓ　ｆｒｏｍ　ａｎ　Ｎ－ｃｉｒｃｌｅ　Ｗｉｔｈｏｕｔ　Ｕｎｉｔ　ＳｅｐａｒａｔｉｏｎＣａｉＴｉａｎｘｉｎ（蔡天新）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｃｍａｔｉｃｓ，ＨａｎｇｚｈｏｎＵｎｉｖｅｒｓｉｔｙ，Ｈａｎｇｚ...     

Electronic structures of Fe in La1−x Ba x FeO3−y (0≤x≤0.70)

Mössbauer spectra of La_1–x Ba _x FeO_3–y recorded at room temperature for various values of x show a six-line and/or a single-line subspectrum. The six-line subspectrum with IS=0.41 mm/s and H=52 T results from an orthorhombic perovskite containing only Fe³⁺ ions. The single-line subspectrum at 0.17 mm/s from a cubic perovskite can be assigned to neither Fe³⁺ nor Fe⁴⁺ but to an intermediate valence state, which may be due to electron hopping between the Fe³⁺ and Fe⁴⁺ ions on the identical octahedral sites. The temperature dependence of electron hopping in the compound La_0.40Ba_0.60FeO_3–y is presented.     

[a,b]-factorizations of graphs

Let a and b be integers with b ? a ? 0. A graph G is called an [a,b]-graph if a ? d_G(v) ? b for each vertex v ∈ V(G), and an [a,b]-factor of a graph G is a spanning [a,b]-subgraph of G. A graph is [a,b]-factorable if its edges can be decomposed into [a,b]-factors. The purpose of this paper is to prove the following three theorems: (i) if 1 ? b ? 2a, every [(12a + 2)m + 2an,(12b + 4)m + 2bn]-graph is [2a, 2b + 1]-factorable; (ii) if b ? 2a ?1, every [(12a ?4)m + 2an, (12b ?2)m + 2bn]-graph is [2a ?1,2b]-factorable; and (iii) if b ? 2a ?1, every [(6a ?2)m + 2an, (6b + 2)m + 2bn]-graph is [2a ?1,2b + 1]-factorable, where m and n are nonnegative integers. They generalize some [a,b]-factorization results of Akiyama and Kano [3], Kano [6], and Era [5].     

含O=P—N基环膦二肽的结构研究

分离出环膦二肽的几何异构体。用高分辩~H NMR结合其它光谱确定了异构体的数目,用X射线确定了它们的立体结构,发现磷上苯环与其α-碳上取代基互为顺式,六元环采用扭船式构象。     

含镍云母蒙脱石及其交联物的正己烷加氢异构性能

交联粘土是一类新的具有规则孔结构的大孔分子筛,对其酸性及孔结构的研究已有报道。本文报道镍同晶置换T—O—T片八面体层中的铝,并用丙氨基三乙氧基硅烷水解物与其交联制得PNiSMM,再浸上Pd后考察Pd-NiSMM和Pd-PNiSMM对正己烷的加氢异构性能。