椭圆系统

Some existence and uniquencess results are obtained for the nonlinear fourth order elliptic boundary value problems by using some results about the global homeomorphism theory and dynamical system theory respectively.

分别利用全局同胚理论和动力系统理论的一些结论，研究了非线性四阶椭圆边值问题解的存在性与唯一性。

In this paper, hyperbolic tangent function method and its some extensions suchas sine-cosine method, extended tanh method, F-expansion method and Jacobi ellip-tic function method are summarized, the idea and technique of hyperbolic functionmethod are explored.

本文对双曲正切函数法及sine - cosine方法，扩展tanh函数法，Jacobi椭圆函数展开法， F-展开法等一些主要的双曲函数方法及其扩展进行了系统的归纳与总结，揭示了双曲函数法的构造思想与技巧。

The paper,combined with public-key certificate technology, designs a new data encryption scheme based on Hyperelliptic curve.

本文在超椭圆曲线上，结合公钥证书技术设计了一个新的数据加密方案，该方案具有安全性高，加密和签名速度快，通信量少等优点，特别适合用于解决用户群是一些计算能力和存储能力受限的系统中的安全问题。

At the same time, the method how to calculate the optimum width of the window has been found;(3)A basic hyperelliptic curve cryptosystems integrated encryption system is implemented on the Java platform.

在Java平台上实现了一种超椭圆曲线密码体制的综合加密系统。

In the course of study on the agreements, this paper provides a kind of hyperelliptic cryptosystem scheme based on public key certificate, this scheme solves some safe problems in the traditional cryptosystem effectively, have the small communication amount, safe intensity and computation speed, especially suitable for solving the security problem existing in some systems with limited resource.

在对密码协议的研究过程中，作者提出了一种基于公钥证书的超椭圆曲线密码体制方案，该方案有效地解决了传统密码体制中的一些安全问题，具有安全强度高、通信量小、计算速度快等优点，特别适合用于解决资源受限系统的安全问题。

Uncertain time-delay systems ; invariant ellipsoid set ; model predictive control ; stability

不确定时滞系统；不变椭圆集；预测控制；稳定性

The proposed method applies the ellipsoid invariant set to the estimated state and state estimation error. The conditions of invariance and feasibility of estimated state, as well as the stability of the closedloop system are given.

该方法采用双模控制策略，将不变椭圆集概念同时应用于观测器的状态方程和误差方程，给出估计状态不变性和控制输入可行性条件并给出了闭环系统的稳定性定理。

On the basis of introducing the spectroellipsometric principle,the inversion ofspectroscopic ellipsomtric data has been studied systematically and a novel dataanalysis method has been achieved.

本文在介绍椭圆偏振光谱原理的基础上，对椭偏数值反演进行了系统的研究，提出了独特的数据分析处理方法，并利用这种新颖的数值反演方法研究了几种新型材料的光学性质，取得了以下新结果。

Mathieu function is the base of field theory analysis in elliptical cylinder coordinate system. So, firstly, detail investigation has been given about the problem of numerical analysis of Matheiu functions, based on the predecessor's contribution, an improved faster algorithm of numerical analysis and confirmation algorithm of Matheiu functions has been presented.

Mathieu函数是椭圆柱坐标系统下场论分析的基础，因此本文首先对Mathieu函数的数值计算问题进行了详细研究，并在前人基础上完善并进一步改进了目前被认为较为可行的数值算法，并提出了验证算法。

The abstract result contains several concrete results in the literature and can also be used to deal with some new cases for resonant differential equations.In the introduction, we briefly introduce the development process of the variational methods. In Chapter 2, we list some basic knowledges refering to the variational methods, including the Sobobev space,—△ operator, the weak solution and the minimizing sequence methods and some minimax theorems. In Chapter 3, we introduce the research process of Hamiltonian system of second order and the semilinear elliptic problems, using the methods introduced previously. In Chapter 4, we prove the main theorem of the thesis, and apply it to the problems in the previous Chapter, and can also be applied to some new resonant cases.

在前言中，简要介绍了变分法的产生、发展过程，在第二章中我们介绍了有关变分法的一些基本知识，包括Sobolev空间，—△算子，弱解，极小化序列方法和一些极小极大定理，在第三章中我们介绍了非线性项有界或满足次线性条件，以及它满足推广的Ahmad-Lazer-Paul条件时，二阶Hamiltonian系统和半线性椭圆问题的研究历程，最后在第四章中我们证明了本论文的主要定理，并把它应用到第三章的问题中，使得前面的几种共振的情形都可以统一到这个抽象的结果中。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。