可解方程

In this paper, we consider the properties of so_called N_analytic functions , integral formula of Cauchy type and the problem of Riemann boundary value.

研究了N 解析函数的性质、Cauchy型积分公式及相应的Riemann边值问题，然后将其结果应用到一类奇异微分—积分复方程的可解性理论中，建立了其特征方程解的积分表示式。

On the other hand,the conformal deformations problem is to find a metric on H2(-1), conformal to g,with the given function K as its Gaussian curvature ,that is,it is important for us to study the solvability of the conformal Gauss curvature equation in geometry analysis.

e~(2u)g，它的高斯曲率函数K满足共形高斯曲率方程Δ_gu+1+Ke~(2u)=0。另一方面，对H~2(-1)上预先给定的一个函数K，共形形变问题-寻找g的共形度量=e~(2u)g使K是的高斯曲率，即共形高斯曲率方程的可解性研究是几何分析中的一个重要问题。

On the basis of the differential game approach, necessary and sufficient solvable conditions for the hybrid estimation problem are provided in terms of solutions to a Riccati differential equation.

基于微分对策方法，混合估计问题有解的充要条件表达为 Riccati 微分方程的可解性。

The general Fredholm integral equation of the first kind with logarithmic kernel in 2 dimensions does not always have unique solution, especially for the unbounded problem, it depends on the asymptotic behaviour at infinity.

对二维问题，一般的带对数积分核第一类Fredholm 积分方程并不总是唯一可解的，特别是对外边值问题，解在无穷远处的形态有很大的影响。

First,the knowledge of mechanics and electromagnetics was applied to build the equilibrium equation of thick-walled cylinders'structures,and a solvable equation was obtained utilizing the Laplace transforms and the Hankel integral transforms.

运用力学和电磁场的知识对厚壁圆筒结构建立平衡方程，并通过 Laplace 和 Hankel 积分变换对物理方程进行变换，得到一个可解的方程形式。

Lyapunov second method is applied to analysis of partial stability of equilibrium of linear ordinary differential equation with constant coefficients, the problems on partial stable matrix, partial positive definite matrix and Lyapunov matrix equation are studied.

将Lyapunov第二方法用于研究常系数线性系统零解的部分变元渐近稳定性，可引出相关的一些特殊矩阵问题，包括部分稳定矩阵、部分位正定矩阵、矩阵方程的可解性等。

The third part of this paper aims to study the global solvability or nonsolvability of a semilinear parabolic equation with singular potential.

论文的第三部分是对带奇异项的半线性抛物方程的整体可解性和不可解性的研究。

This paper concerns mainly about the solvability and the properties of the solutions to the semilinear elliptic and parabolic equations or systems.

本论文主要是研究半线性抛物和椭圆方程或方程组的可解性及其解的性质。

1It is the first time to study the direct method of solution for singular integral equations with solutions having singularities of order one. The necessary and sufficient condition for the solvability and the close form of the solution are obtained.

本文主要在以下几个方面有所创新：第一，首次研究了具有一阶奇异性解的完全奇异积分方程的直接求解，并得到其可解的充要条件和解的封闭形式。

Secondly, for a more general matrix equation in composition, we obtain another equivalent condition for the solvability of this equation and give an equivalent characterization to the solution set of the equation.

第二， 对于一般情况下的型矩阵方程，本文给出其可解的另一个等价条件，同时对其解集作了一个等价性描述。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。