一类非线性时滞微分方程的振动性

讨论了非线性时滞微分方程Ｈ（ｔ，ｘ（ｔ），ｘ（ｔ—ｒ）＋ｆ（ｔ，ｘ（ｔ—τ））—ｇ（ｘ（ｔ—σ））＝０的振动性，推广了有关文献的部分结果．     

一类收敛级数求和的微分方程解法

从微分方程的角度出发 ,分三个方面讨论了一类收敛级数求和问题的具体解法。     

Local spatial data infrastructure, Trujillo-Peru

The development of a Municipal Information System, or currently better known as a local spatial data infrastructure, is considered complex due to the required inter-institutional relationships. In many developing countries Geographical Information Systems (GISs) are introduced but the benefits are modest as no changes take place in technical and organisational structure of organisations. Digital databases and computer-aided design (CAD) maps are mushrooming in great variety within different private and public institutions, municipal organisations and even within single departments and with structures similar to the paper period and thus operating on a stand-alone basis.Many national mapping agencies are not able to provide large-scale digital urban base maps, while the absence or low quality of cadastres makes those basic core data sets unavailable or inaccessible. The result is that duplication and incompatible data are frequently observed and also donor-driven stand-alone projects have a limited impact through the lack of institutional embedding and are not able to mature from the project to the institutional level. However, a positive sign is that there is an increasing awareness among data producers and consumers that investments in the development of digital data sets should be combined to reduce costs and increase benefits from especially GIS, and information and communication technology (ICT) in general.Within Trujillo a long-term vision was developed to make full use of ICT and GIS to modernise all operations of the Municipality to increase the efficiency and effectiveness of its tasks. However, large investments are not feasible due to the very limited municipal budgets. To guarantee the support of the municipal council, short-term results are required. This paper describes three ‘products’ as part of the vision to develop through a step-by-step approach a local spatial data infrastructure for Trujillo.The three, rather different, products are:

1. fiscal cadastre, to increase municipal revenues through property taxation;

2. an ‘environmental atlas’ based on a compatible spatial and attribute data sets from a variety of organisations; and

3. a municipal website with interactive GIS and meta data information.

The paper concludes with some comments on the institutional and political requirements for the successful development of a local spatial data infrastructure and stresses that such an infrastructure is not a product but an incremental development process that will progress only in case such a process is simple, cost effective, user-friendly, and flexible with clear products.Political interest and institutional stability and genuine interest for inter-institutional cooperation will add much to the success of this process.     

刚体转动渐进跟踪控制的逆系统方法

逆系统方法是以非线性控制为目的,以直接分析为途径,以动态系统的逆概念为核心。该文将逆系统方法应用于刚体动力学中,运用非线性控制的逆系统方法设计Euler动力学方程的控制器,通过对一个陀螺的外力矩进行实施控制,使刚体在动坐标系下的角速度稳定跟踪指令,来实现对刚体转动的渐进跟踪控制。     

一类二阶变系数微分方程的解

通过变量变换 ,将变系数线性常微分方程化为常系数线性常微分方程 ,再利用常数变易法给出了一类二阶变系数非齐线性微分方程的通解。     

网络安全与防火墙技术

防火墙是网络安全的关键技术 ,其核心思想是在不安全的网络环境中构造一个相对安全的子网环境。本文讨论了实现防火墙的主要技术手段 ,重点阐述了现行防火墙的功能、类型、安全措施以及防火墙技术的发展     

佛山市旅游市场结构的初步分析

佛山市旅游发展与其经济发展水平相比相对滞后，旅游市场发育不够完善，在旅游市场结构上表现为：区内客源市场已趋完善，省内近程客源市场正在形成，省内远程客源市场已现端倪，而省外客源市场尚未具备。所以，佛山旅游业的发展要求根据佛山旅游市场结构的特点，有层次性、倾向性和综合性地加强旅游市场的开发。     

动力学问题解题方法

对动力学问题的各种解法进行了详细讨论 ,以便增强学生选择解题方法的能力     

浅谈函数与方程

本文辩证地讨论了函数与方程二者之间的联系与区别；函数思想与方程思想的相互渗透与转化。从而给我们提供了用方程思想解函数问题和用函数思想解方程问题的方便。     

清代“谈天三友”的数学思想研究

乾嘉之际随着学界复古思潮的兴起,中国传统数学也得到了学者的重视。“谈天三友”焦循、汪莱、李锐在深入钻研秦九韶、李冶等数学著作的基础上,对高次方程解法和天元术提出了自己的见解,使方程论成为较完整的理论体系。他们的数学思想已接近于代数基本定理的思想。