Stability of Periodic Solutions of Ordinary Differential Equations in Banach Spaces

§１．ＤｅｆｉｎｉｔｉｏｎｓａｎｄＮｏｔａｔｉｏｎｓＬｅｔＥｂｅａｒｅａｌＢａｎａｃｈｓｐａｃｅ,ａｎｄｌｅｔｘ,ｙ∈Ｅ．Ｔｈｅｄｉｒｅｃｔｉｏｎａｌｄｅｒｉｖａｔｉｖｅ［ｘ,ｙ］－ｏｆｘａｎｄｙｉｓｄｅｆｉｎｅｄｂｙ（ｆｏｒｍｏｒｅｄｅｔａｉｌｓｓ...     

Sine—Gordon方程的一个守恒的九点差分格式

本文提出了关于Ｓｉｎｅ－Ｇｏｒｄｏｎ方程的一个守恒的九点差分格式,对解进行了先验估计,证明了数值解的收敛性和稳定性,数值实验结果表明,方法是可靠的,并且适当选择参数后,可达到很好的计算精度．     

有限Fuzzy关系方程与Fuzzy矩阵秩进一步研究

在［１］的基础上,讨论了一般有限Ｆｕｚｚｙ 关系方程极小解的结构;将［１］中特殊有限Ｆｕｚｚｙ 关系方程与矩阵秩的关系推广到一般有限Ｆｕｚｚｙ 关系方程,运用矩阵秩给出了有限Ｆｕｚｚｙ关系方程极小解个数的上界估计,同时给出了求一般有限Ｆｕｚｚｙ 关系方程全部极小解一种全新算法．     

MAP 1, MAP2 /M/c retrial queue with guard channels and its application to cellular networks

In this paper, we investigate the impact of retrial phenomenon on loss probabilities and compare loss probabilities of several channel allocation schemes giving higher priority to hand-off calls in the cellular mobile wireless network. In general, two channel allocation schemes giving higher priority to hand-off calls are known; one is the scheme with the guard channels for hand-off calls and the other is the scheme with the priority queue for hand-off calls. For mathematical unified model for both schemes, we consider theMAP ₁,MAP ₂ /M/c/b, ∞ retrial queue with infinite retrial group, geometric loss, guard channels and finite priority queue for hand-off class. We approximate the joint distribution of two queue lengths by Neuts' method and also obtain waiting time distribution for hand-off calls. From these results, we obtain the loss probabilities, the mean waiting time and the mean queue lengths. We give numerical examples to show the impact of the repeated attempt and to compare loss probabilities of channel allocation schemes.     

气—固流化床反应器内双流体力学模型及其验证：Ⅳ.单组分两维射流床内气泡特性

模拟了不同操作条件下,单组分两维射流床内射流崩塌后所形成气泡的形状、运动机理、初始尺寸和上升速度。集合前文（Ⅰ、Ⅱ和Ⅲ）研究结果表明,在湍流两相流理论基础上建立的“气－固流化床反应器内双流体力学模型”可以很好地分析气固射流床内流体动力学特性,诸如：基本流场变量（气、固相速度场、压力场和空隙率）瞬态变化情况、射流特性（射流发展、射流穿透深度确定方法、射流区气体速度分布和操作条件对射流穿透深度、射流频率的影响等）、时均空隙率分布、时均轴向气体速度分布和气泡特性。由此可见,该方法和思路可以为灰熔聚流化床粉煤气化工艺和其他与流态化技术相关的设计提供必要的信息和有益的建议     

丙烯腈与衣康酸的溶液共聚合

为了获得性能优越的碳纤维,聚丙烯腈（ＰＡＮ）纤维已经成为应用最广泛的前驱体之一［１］．事实表明,碳纤维的性能在很大程度上依赖于前驱体纤维的性能［１］,利用丙烯腈与少量其它单体进行共聚,可使聚合物的力学性能（机械强度、弹性、塑性等）得到明显的改善．由已报道的文章可知,与丙烯腈共聚时所采用的其它单体主要有丙烯酸、甲基丙烯酸、丙烯酸酯、丙烯酰胺、衣康酸等［２～７］,所采用的溶剂主要为二甲基甲酰胺（ＤＭＦ）．对在二甲基亚砜（ＤＭＳＯ）为溶剂中的聚合条件,并未见详细报道．本文以ＤＭＳＯ为溶剂,用偶氮二异丁…     

用粉末X射线衍射技术研究溶液结构的新方法ⅡLi2SO4溶液的结构函数

本文叙述了用θ-2θ粉末衍射仪精确测定荻得的Li2SO4溶液实验衍射强度数据的校正方法和计算溶液结构函数i(s)的具体步骤.由积分法和高角法联用获得了优化的标度因子0.2620.     

磺基化四苯基卟啉聚集体溶液状态的研究

用分光光度法研究了磺基化四苯是卟啉（ＴＰＰＳ）水溶液中聚集体的形成及ｐＨ，温度，表面活性剂等实验条件的影响，推测了形成ＴＰＰＳ聚集体的可能模式。     

Piperazinediium,Zr(IV) and Ce(IV) pyridine-2,6-dicarboxylates: Syntheses,characterizations, crystal structures, ab initio HF,DFT calculations and solution studies

The novel title compounds, (pipzH₂)_1.5(pydcH)₃·3.7H₂O, 1, (pipzH₂)[Zr(pydc)₃]·8H₂O, 2 and (pipzH₂)[Ce(pydc)₃]·8H₂O, 3 in which pydcH₂ is pyridine-2,6-dicarboxylic acid and pipz is piperazine were obtained in aqueous solution. The compounds were characterized by IR, ¹H NMR and ¹³C NMR spectroscopy, elemental analyses, and X-ray crystallography. Compound 1 is resulted from proton transfer between pydcH₂ and pipz. However, compounds 2 and 3 are resulted from complexation of 1 and corresponding metallic salts. Both compounds 2 and 3 contain three pyridine-2,6-dicarboxylate species as tridentate ligands, one piperazinediium as counter ion, and eight-uncoordinated water molecules in the asymmetric unit. In both structures each M(IV) is coordinated in a distorted tricapped trigonal prism geometry by three nitrogen and six oxygen atoms of carboxylate groups of three (pydc)²⁻ fragments. In the crystal structures of 1, 2 and 3, extensive O–H···O, N–H···O and C–H···O hydrogen bonds as well as electrostatic forces, C–H···π, C–O···π and π–π stacking play important roles in stabilizing structures. The geometrical parameters of the [M(pydc)₃]²⁻ anionic complexes, where M = Ce(IV), Zr(IV) have been optimized with the B3LYP method of density functional theory (DFT) and ab initio Hartree–Fock (HF) methods for comparison. In addition, we have studied the structures of (pydc)²⁻ anion and its mono and doubly protonated forms, (pydcH)⁻ and pydcH₂. The electronic properties of the anionic complexes and ligands have been investigated based on the natural bond orbital (NBO) analysis at the B3LYP method which verifies that the synergistic effect has been occurred in the title complexes. In solution study of 2, the stoichiometry and stability constant of complexation of pipz, pydc, pydc–pipz proton transfer system and Zr(IV) ion in aqueous solution were investigated by potentiometric method.     

红薯提取液荧光猝灭的Zn2+检测

人体大量摄入锌时易引起中毒,对锌污染的监测十分重要[1,2].锌离子的检测方法主要有电化学分析法[3-5]、光化学分析法[6,7]、原子吸收分光光度法[8]等.