方程的解集

The exact form of exterior boundary value problems for plane potential problem is established with variational principle.

使用变分法确立平面 Laplace外问题的确切形式；在此基础上，为了避免使用无限区域上的 Green公式，通过构造紧支集上的无穷可微函数，获得满足非齐次控制微分方程的特解的重要结果。

Based on this, to avoid using the Green′s formula on infinite domain, an infinitely differentiable function with compact subset is constructed and some important results to a especial solution of the inhomogeneous field equation are obtained.

在此基础上，为了避免使用无限区域上的 Green公式，通过构造紧支集上的无穷可微函数，获得满足非齐次控制微分方程的特解的重要结果。

In this paper we review some recent progress on the nucleation of zeros and the structure of the nodal sets of the complex-valued solutions of Ginzburg-Landau system for superconductivity and of more general partial differential equations with magnetic Schrodinger operator.

本文考察了近年来对超导的Ginzburg-Landau方程复值解的零点的产生与零点集的结构的研究进展，也考察了含有磁Schrodinger算子的更一般的偏微分方程的相关问题。

Although some results on convex and concave iterative roots are known, there are no results about convexity for more general iterative equations. In this chapter, convexity of both increasing solutions and decreasing solutions is investigated by the divided difference theory and fixed point theory.

本章在连续函数构成的紧凸集上构造一个连续自映射算子，利用均差理论和不动点理论证明了线性型迭代方程的凹凸解的存在唯一性及连续依赖性。

After discussing the structural conditions of the existence of the active network solutions, the state equations in normal form over F of electrical network which are suited for studying the character of network structure are derived. If there is no loop containing only capacitor and independent voltage sources, and if there is no cut-set containing only inductors and independent current-sources, both matrix A and B in ?

在探讨了有源网络解存在的结构条件下，推导了适合研究网络结构特征的多元有理函数域上电网络的范式状态方程：如果不存在仅由独立电压源和电容器构成的回路，且不存在仅由独立电流源和电感器组成的割集，则无论是有源网络还是无源网络，在网络的范式状态方程？

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。

These weight matrices are actually the least solution matrix and all maximal solution matrices of the min-implication fuzzy relation equation, respectively. The complete solution set of min-implication fuzzy relation equation can be determined by the maximal solution set of this equation.

同时给出了严格的定理证明：这些连接权矩阵分别为对应的最小-蕴涵合成模糊关系方程的最小解和所有极大解，从而得到了此模糊关系方程的完备解集。

Based on the limitation and tightness of computational time, it is concluded that the neighborhood of the equation solution is solvable under the condition of open solvable set.

研究了用差分法求解自治的发展方程时稳定性和收敛性这两个基本概念之间的联系，利用计算时间的有限性和紧致性，在可解集为开集的条件下，得出方程解的邻近也可解的结论。

In addition, incorresponding solution set of the equation.The explicit expression of the nearest matrix to a given matrix in the Frobenius noum have been provided.

另外，研究了矩阵方程的自反矩阵解集，利用矩阵的分解，导出自反矩阵问题的最佳逼近解。

In Chapter 3, we use the sufficient and necessry conditions of minimal point being critical point on closed convex set and construct closed convex sets with some character as more as possible, to discuss the existence of solusion of nonlinear Hammerstein integral equations on different closed convex sets. We get the results of multiple solutions.

在第三章中，我们没有借助于条件，而是利用闭凸集上的极小值点是临界点的充要条件，构造出尽可能多的具有某些特性的闭凸集，在不同的闭凸集上讨论非线性Hammerstein型积分方程的非平凡解的存在性，从而得到多解性的结果。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失