多项式方程

In this paper existence of local analytic solutions of a polynomial-like iterative functional equation is studied.

本文讨论一类多项式型迭代函数方程局部解析解的存在性。

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。

In this paper, we investigate the increase-order of solutions of higher order homogeneous linear differential equation s with polynomial coefficients.

摘要研究了多项式系数高阶齐次线性微分方程解的增长级问题，得到了比前人更精确的结果。

According to fifteen sorts of eigenvalues,the specific solution to a type of homogeneous equation with harmonic operator of six steps polynomial in cylindrical coordinate is obtained by the variable method, and the method of determining the constant is given.

对圆柱坐标系下齐次6阶"多项式"形式的调和算子方程，按本征值分15种情况分别给出了其分离变量解的具体形式，给出常数的确定方法；并将结果推广到各种非齐次情况和非轴对称情况。

Based on formers criteria of isochronous centers for centers, we analyze parameter conditions of isochronous centers.

在此基础上，还在前人获得的多项式Liénard方程的等时中心判据的基础上，进一步分析了等时中心的参数条件。

We also develope the corresponding spherical harmonic-generalized Laguerre polynomial mixed spectral method and apply them successfully to computation of three dimensional problems, exterior problems and nonlinear problems.

在第二章中，我们提出了一类新的广义Laguerre多项式正交逼近，其特点是适用于更多问题并能更好地拟合微分方程真解在无穷远处的性态，从而提高了计算精度。

This thesis is devoted to study the properties of the solutions of some specialrefinable equations,such as properties of multi-refinable,global linear independence,local linear independence and local polynomial property,etc,by using fractal theory,measure theory and theory of generalized functions.

本文的主要目的是通过用分形几何中的一些想法以及测度论和广义函数中的一些知识来研究一些特殊的细分方程的解的一些性质，如多重可细分性、整体线性无关性、局部线性无关性和局部多项式性质等。

First, multi-conductor transmission lines are cut into pieces, every piece is modeled by a GTC cell. ABCD matrix of transmission lines is obtained via ABCD matrix of GTC cell. Maclaurin series of the matrix are obtained with great ease.

将非均匀、耦合、有耗多导体传输线分段，每段由一频域的GTC模拟，根据GTC的ABCD矩阵得出多导体的ABCD矩阵，接着将其麦克劳林展开式嵌入网络的修改节点方程并求得电路的频域冲击响应，利用指数衰减多项式求得时域冲击响应。

First, multi-conductor transmission lines are cut into pieces, every piece is modeled by a GTC cell. ABCD matrix of transmission lines is obtained via ABCD matrix of GTC cell. Maclaurin series of the matrix are obtained with great ease. The series are entered into the overall circuit MNA equations as a stamp. Then impulse response in S domain is gained.

将非均匀、耦合、有耗多导体传输线分段，每段由一频域的GTC模拟，根据GTC的ABCD矩阵得出多导体的ABCD矩阵，接著将其麦克劳林展开式嵌入网络的修改节点方程并求得电路的频域冲击响应，利用指数衰减多项式求得时域冲击响应。

Let〓be a meromorphic function of finite order and〓z,where qis rational and pis a polynomial.Then every cycle of Bakerdomains of f contains a singularity of〓.

推论3.4设q是一个有理函数，p是一个多项式，m，n是满足〓的两个正整数，又设f是一个满足如下微分方程的亚纯函数〓（3.2）则f的每一个Baker域循环一定含有〓的奇异点。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。