查询词典 solvability

We prove the solvability of the first eigenvalue problem for a class of quasilinear elliptic equations including distance potential with homogeneous Dirichlet boundary condition.

变分原理证明了一类含距离位势的拟线性椭圆方程齐次Dirichlet边界条件下第一特征值问题的可解性。

The solvability can not be sidestepped, for it relates the problem of equivalence of boundary reduction.

人们在用直接边界元方法进行计算时，并不刻意去考虑积分方程的可解性，但可解性的问题是不能回避的，这涉及到原问题的解与边界积分方程的解的等价性问题。

In this paper, we attempt to introduce mainly the solvability of several boundary value problems for partial differential equations by using function theoretic methods.

本文主要介绍了偏微分方程一些边值问题的函数论方法。

The conditions for the solvability of generalized inverse eigenvalue problems of positive definite matrixes are discussed.

讨论了正定矩阵广义特征值反问题解存在的条件，给出了求解的算法和数值例子。

The second chapter is the main part of this paper, in which the formulation of the Riemann boundary value problem of non-normal type on the real axis, the solution method of homogeneous problem, the relation between the two kinds of different derivatives and the inhomogeneous problem will be thoroughly given. In this paper, the solution and the solvability of the Riemann boundary value problem of non-normal type on the real axis will be given. Furthermore, it is shown that the twokinds of derivatives of the function Ψ are existing and equivalent in the case ofthe solution about the original problem, therefore, we get uniformly Hermite interpolatory polynomial. The relation between the two kinds of different derivativesof the function Ψ are similar for smooth closed contours by means of the same proof.

第二章是本文的主要部分，分别给出了实轴上一类非正则型Riemann边值问题的提法、齐次问题的解法、两种导数的关系及非齐次问题的求解，本文运用杜金元教授[11]的方法获得了实轴上非正则型Riemann边值问题的封闭解及可解性条件，且在问题可解的情况下论证了函数Ψ的非切向极限导数和Peano导数存在且相等，从而获得了统一的Hermite插值多项式，同样关于封闭曲线上非正则型Riemann边值问题，采用本文论证方法证得了函数Ψ的非切向极限导数和Peano导数存在且相等，从而较好地统一了[10]、[11]中的Hermite插值多项式。

In the second part, we studied blind source separation in ill conditioned cases, obtained the sufficient and necessary conditions on solvability, and presented the neural network model and corresponding adaptive algorithm. We also discussed the blind digital source separation, established the blind separation and extration models and algorithms. These algorithms can be used to deal with high noise and ill-conditioned cases.

在第二部分，我们研究了奇异混合情形下信号盲分离问题，给出了神经网络模型及相应的自适应算法；我们也研究了数字信号盲分离问题，得到了有关可解性的充要条件，提出了分别处理低噪声问题和高噪声问题的算法，这些算法对感知信号个数少于源信号个数等病态问题也适用。

Results A necessary solvability condition was established in terms of the parity interlacing property of each element in .

结果给出鲁棒镇定问题可解的一个必要条件，即的每个元素都应具有parity interlacing性质。

In the fifth part, the H〓 control problem for Lur'e systems with multiple nonlinearities is discussed. The existence is reduced to solvability of multiple linear matrix inequalities. And the design method is simple and feasible via iterative optimal algorithm based on the interior-point method of LMI.

第五部分：研究了具有多个非线性环节的Lur'e系统的H〓控制问题，给出了基于双线性代数矩阵不等式的可解条件，此结果可覆盖关于线性系统相应问题的结论，同时又避免了目前在非线性系统H〓控制的研究中出现的偏微分矩阵不等式难以求解的问题。

By this iterative method, the solvability of the matrix equation can be determined automatically.

此迭代法可以自动地判定矩阵方程AX+XB+C=0的可解性。

This paper uses contraction mapping approach in order to give sufficient condition for solvability about this kind of matrix equation in given conditions.

文章利用压缩映射思想给出了一类矩阵方程在给定条件下有解的充分条件。

London based fashion photographer Matt Irwin might be is the next big thing in fashion photography.

总部位于伦敦的时装摄影师马特欧文可能会是下一件大事的时装摄影。

Based on IMC system,the response would be better if the model matched more satisfactorily.

由于系统基于内模控制设计，故模型匹配度越高，系统响应越好。