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

本文讨论与年龄相关的非线性时变种群系统（P）的l^2（Q）－解，为进一步研究种群系统的最优控制问题提供了必要的理论基础．     

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.     

变分法在冲击应力波设计中的应用──冲击应力波设计理论研究（Ⅱ）

本文应用变分法原理，求解出以最小反射波能量为优化目标的冲击应力波极限函数，并就其边界条件、应力波形和能量传递效率进行了分析讨论，图２，参３。     

波浪演示器的研究与设计

介绍了作者研制的波浪演示器.该演示器应用数字技术模拟水质点的运动,能形象演示海洋XOZ剖面上波浪的形成与传播.文中还讨论了RISC技术和非程序存储式体系结构在设计中的应用.     

论内含报酬率的几何解法

<正> 内含报酬率,又称内部报酬率,是指能使投资项目的预期现金流入量现值等于预期现金流出量现值的贴现率,即能使投资项目的净现值为零的贴现率。内含报酬率常可用于分析评价投资项目的可行性,以便进行投资决策。对于单一的投资方案,当内含报酬率高于企业的资金成本率时,可以考     

奇摄动非线性微分方程周期边值问题解的估计

本文考虑一类二阶非线性微分方程奇摄动周期边值问题。利用微分不等式技巧,不仅研究了解的存在性,而且还给出解及其导数的估计,从而提供了研究解的导数估计的一种方法。     

一类四阶线性双曲型方程的边值

考虑了一类四阶线性双曲型方程以特征线为数据支柱的边值问题，在支柱上给出了函数值或导数值，用迭代法讨论了问题的正规解或古典解。     

可闻声波检测与空气中声速的测定

描述了用改进的声波探测器在空气中测定声速的方法。     

常系数非齐次线性递推式的显式解

应用生成函数的方法求出了常系数非齐次线性递推式的显式解。