查询词典 existence

With the help of the fundamental theory to singular measure differential system, Green's function matrix expression of solution and well-posed boundary condition are given, together with discussing the properties of the Green's function matrix under the influence of impulsive effect In section 5, based on Lyapunov function method, we investigate that the existence of the first boundary value problem to second-order singular system by macthing the solutions to the second boundary value problem; and the existence and uniqueness of three-point boundary value problem to third order singular system by macthing the solutions to two-piont boundary value problem.

第五部分借助Lyapunov函数法，通过将第二类边值问题的解对结成第一类边值问题的解，得到了二阶广义系统的第一类边值问题解的存在性；通过将两点边值问题的解对结成三点边值问题的解，得到了三阶广义系统的三点边值问题解的存在性和唯一性。

For the first time, in [3] the authors discussed the inequalities of B-B and by using them the authors give a proof of the existence and uniqueness of the generalized solution for magnetostatic field problem with zero boundary value. By using the inequalities of B--H in, in[-5,6] the authors give a proof of the existence and uniqueness of the generalized solutions for 3-D magnetostatic field Neumann problem and 2-D magnetic field first boundary value initial problem.

前人已讨论了B—H间的几个基本不式，并由之证明了三维静磁场带零边值问题广义解的存在与唯一性，作者也曾利用给出的B—H间的不式证明了三维静磁场Neumann问题和二维时变场第一边值初值问题广义解的存在与唯一性。

In this paper,we consider the existence and uniquness of solution for Dirichlet problem of the Helmholtz equation on the domain with corners, i.e problemFor smooth boundary,we use potential theory to transform the problem into second kind boundary integral equation ,and use Fredholm alternative theorem,we obtain the existence and uniqueness of Dirichlet problem.

在本文中，我们考虑边界含尖点的有界区域上Helmholtz方程△u+k~2u=0的Dirichlet问题即问题与问题解的存在及唯一性。

In Chapters 3 and 4, we investigate the existence of periodic solutions of a class of second order functional differential equation and a class of third order functional differential equation, respectively, and obtain new sufficient conditions of their existence result of periodic solutions under growth conditions and linear growth condition, respectively.

第三章与第四章分别研究了一类二阶泛函微分方程及一类三阶泛函微分方程的周期解存在性，分别在增长条件及线性增长条件下，获得了这两类方程周期解存在性的新的充分条件，与文献中已知结果比较，我们所讨论的方程更为一般，所得结果较简洁且易于验证。

In Chapters 3 and 4, we investigate the existence of periodic solutions of a class of second order functional differential equation and a class of third order functional differential equation, respectively, and obtain new sufficient conditions of their existence result of periodic solutions under growth conditions and linear growth condition, respectively. Compared with some known results in the literature, the equations discussed by us are more general, and our results are concise and easy to be verified.

第三章与第四章分别研究了一类二阶泛函微分方程及一类三阶泛函微分方程的周期解存在性，分别在增长条件及线性增长条件下，获得了这两类方程周期解存在性的新的充分条件，与文献中已知结果比较，我们所讨论的方程更为一般，所得结果较简洁且易于验证。

Moreover, this dissertation reveals an essential conclusion: The existence of the state feedback solution of H〓 problem is equivalent to that of the maximinimizing the LQ problem, by the existence of real symmetric stable solution of GARE.

文中从微分Riccati方程解的存在性及其性质的论证出发，最终得到了GARE实对称解存在条件的结论。在§2-4中，揭示了本文研究的maxmin鲁棒最优控制问题与H∞状态反馈解及GARE实对称解的存在性等价这一实质性结论。

In order to investigate the existence conditions of the robust optimal state feedback of uncertain system, we have to study the problem of GARE, that is the solution existence of the following equation PA+A'P+Q-PMP=0, Q=Q', M=M' In chapter 2, using some preliminary results and properties of the Riccati differential equation, we have established the sufficient conditions for the GARE problem.

在讨论不确定性系统LQL方法的状态反馈解的存在性条件时，引出了第二章讨论一般代数Riccati方程解的存在性问题，对一般Riccati方程 PA+A'P+Q-PMP=0，Q=Q'，M=M'第二章中先列举讨论了Q、M为正、负定各种情况下的实对称解的存在条件，然后着重研究了M、Q不定的情形。

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分：在一维情形，我们考虑了一类带导数项的Ginzburg—Landau方程，通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计，证明了当粘性系数趋于零时，Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解，并给出了最优收敛速度估计；在二维情形，我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性，以及在某种特殊情形下，GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解；在一般情形下，我们讨论了一类Ginzburg—Landau方程的非齐次边值问题，通过几个积分恒等式，同时估计解的H〓模及法向导数在边界上的模，证明了整体弱解的存在性。

The existence of the radially classical solutions with Dirichlet boundary value in unit ball was investigated. Based on perturbation technique, topological method and comparability theorem, the existence of the radially symmetric solutions for the generalized mean curvature equations with proper presupposition was established.

在单位球内考虑广义平均曲率方程组具有Dirichlet边值条件的径向古典解，运用摄动技巧、拓扑方法及比较原理，在一个适当的条件下，证明了广义平均曲率方程组径向对称解的存在性。

This thesis is concerned with the existence and uniqueness of solution, and global attractor's existence of two nonlinear parabolic equations in R 2 and R n.

这篇论文研究了一个R~2和一个R~n上非线性的抛物方程的解的存在性、唯一性、和全局吸引子的存在性。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。