水中酚的催化空气氧化研究

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细菌芽孢染色方法的改进研究

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三角形速度场解析平面变形辊拔与辊挤

文章对平面变形辊拔与辊挤问题建立了运动许可的三角形速度场并获得上界解析解。该解与 Avitzur 以连续速度场得到的上界解进行比较表明,有时本文解法可得到更低的上界值。     

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文中给出了一类非线性两点边值问题正解存在的条件，不仅改进了郭大钧相应结果中的条件，而且得到了新的结果。     

测定氨氮时浓度及时间对反应的影响

采用纳氏试剂分光光度法，对不同浓度的氨氮标准溶液在各显色时间下的吸光值进行了分析，以了解实验随浓度、时间的变化情况，掌握达到最大显色所需的时间。从而指导实际的检测工作。     

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证明了有界弹性项Duffing方程x″ arccotx=p(t)的周期解的存在性,其中周期为2π的连续函数p(t)满足0     

具有非凸条件的单个守恒律初边值问题整体弱熵解的结构

在流函数具有有限个拐点,初始值为两段常数和边界值为常数的条件下,研究非凸单个守恒律的初边值问题整体弱熵解的结构、初等波与边界的相互作用情况以及弱熵解在边界附近的性态.     

与年龄相关的非线性时变种群系统的L2(Q)-解

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Preface

Different from traditional tax audit, supervision with self-audit is a combination of audit by the taxpayer himself and audit by the tax authority. This paper mainly studies a taxpayer’s optimal policy of tax evasion under supervision with self-audit and its related properties, in order to deduce some effective suggestions and theoretical bases to restrain tax evasion. Assuming that only a certain proportion of evaded tax can be discovered when the audit is executed, the authors first formulate a static model with self-audit. This model is divided into two stages. At the first stage, taxpayers declare their taxes, then the tax authority chooses audit objects, based on a known probability, and announces the result; if the taxpayer is chosen, he will enter the second stage, during which he has a chance to pay the evaded tax and the corresponding late fees and then is audited by the tax authority. The authors show the existence and uniqueness of the optimal amount of tax evasion at the first stage and the optimal proportion to self-expose at the second stage. The authors also discuss the related properties of the interior solution, and do elasticity analyses on some parameters. Besides, the authors extend the static model into the corresponding two-period model, and study the existence and uniqueness of the solution of the extended model. Finally, under the assumption that tax evasion can only be discovered with a certain probability when the audit is executed, the authors formulate another static model with self-audit and investigate its properties. This research is partially supported by the National Natural Science Foundation of China under Grant Nos. 60674082, 70221001, and 70731003.     

高分子流体材料拉伸流动研究

成纤材料的可纺性是合成新的成纤材料或是度量现有材料的成纤条件的关键性参数,拉伸率是衡量材料的可纺性的依据,本文就纤维纺丝拉伸的类型和特点进行分析研究,其结果与材料本构方程联立求解,可分析求解高分子材料拉伸流动中的流动参数.