三次方程

In the first chapter,the Riemann-Hilbert boundary value problem of non-normal type for biregularfunctions and some boundary value problems of the inhomogeneous secondorder equation

共有三章，在第一章中主要运用文[2]中的理论与方法讨论了平面上双解析函数的非正则型Riemann-Hilbert边值问题及非齐次二阶方程

In this paper,we have presented an autonomous guidance strategy based on optimal states feedback technology.First,by utilizing classical Gauss motion equations,we derived the three separate control laws,which could maximize the time rate of change of a desired orbital element.

首先利用传统Gauss型运动方程，推导出三个轨道根数增大最快的独立控制律；然后根据当前根数与目标值的偏差量对独立控制律进行加权组合；最后为高效可靠地获得最优制导律，采用一种遗传算法和逐次二次规划相结合的混合方法对权重进行了优化。

First, by utilizing classical Gauss motion equations, we derived the three separate control laws, which could maximize the time rate of change of a desired orbital element. Then, the separate control laws were blended based on the deficit between current and target value of orbital state. Finally, to obtain the optimal guidance law effectively and reliably, a hybrid method combining genetic algorithm with sequential quadratic programming was used to optimize the weight values.

首先利用传统Gauss型运动方程，推导出三个轨道根数增大最快的独立控制律；然后根据当前根数与目标值的偏差量对独立控制律进行加权组合；最后为高效可靠地获得最优制导律，采用一种遗传算法和逐次二次规划相结合的混合方法对权重进行了优化。

A third order ENO finite volume method for hyperbolic conservation laws on unstructured triangular mesh is introduced.In order to obtain the third order accuracy on spatial discretization,a weighted quadratic interpolation is constructed on every triangular mesh.Two point Gauss quadrature formula is also used on each edge of every triangular mesh and the third order TVD Runge-Kutta method is used for time discretization.The numerical order of convergence and the numerical result of a mesh 3 wind tunnel with one step are given.

摘 要 基于双曲型守恒律方程，对非结构三角形网格给出了一种ENO(Essentially Nonoscillatory Scheme)型有限体积格式，方法的主要思想是先对每一个三角形单元构造一个加权的二次插值多项式，而在计算交界面的流通量时采用了两点高斯积分公式以保证格式的整体精度，时间离散采用三阶TVD Runge-Kutta方法。

The topics covered in these sections are the geometric interpretation of systems of linear equations, the classification of finite symmetry groups in two and three dimensions, the exponential of a matrix and its application to solving systems of first order linear differential equations with constant coefficients, and Hurwitz's theorem on the composition of quadratic forms.

这些条文所涉及的主题是线性方程组的几何解释，在两个和三个有限对称群的分类方面，一个矩阵及其应用，以解决一阶常系数线性差分方程，系统指数赫尔维茨定理在二次形式组成。

Rational fraction, rational base function and homogeneous coordinate.

NURBS曲线方程具有三种等价形式：有理分式表示、有理基函数表示和齐次坐标表示。

In the third chapter, some results of inhomogeneous abstract delay equations are given.

在第三章中，给出了非齐次抽象时滞方程的一些结果。

Chapter 4, consider the periodic initial value problem of a dissipative gen-eralized KdV equations. In section 4.2, the existence of global smooth solution of this problem is proved and the existence of the global attractors is obtained.

第三章，考虑高维的非齐次GBBM方程的初边值问题，建立与时间t无关的一致先验估计，证明了整体光滑解和整体吸引子的存在性。

In Chapter 4, we consider the qusilinear elliptic systems with the homogeneous Neumann boundary condition, and obtain the existence and multiplicity of positive solutions.

在第四章中，我们讨论带有齐次Neumann边界条件的拟线性椭圆型方程组(方程和第三章的一样，边界条件不同)，研究了正解的存在性和多解性。

By discussing the trivial and nontrivial solutions,and then we discuss the solvability for nonhomogeneous equation.

在第三章中，我们通过对齐次p-Laplacian 方程的平凡解与非平凡解的讨论，建立指标分类理论。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。