查询词典 uniqueness condition

The equivalence, performance bounds, existence, uniqueness and necessary condition of ME control are studied to show the ME method to be reasonable, applicable and effective.

ME方法是一种全局分析法，它不仅包含了MSE和MAP准则，且由于全文在整个推导中并未假定高斯性、线性和非时变等，因而原则上适用于诸如非高斯、非线性、时变等传统方法难以处理的复杂系统；不仅适用于工程系统，将其推广到决策、社会、经济等领域会更为自然和切合实际。

Parabolic equation ; European option ; volatility ; existence ; uniqueness ; necessary condition

抛物型方程；欧式期权；波动率；存在性；唯一性；必要条件

Therefore, it is necessary to explain the usage condition of the theorem of uniqueness of solution of elasticity.

为此，需要对弹性力学解的唯一性定理的适用条件适当加以说明。

For instance, we obtained the existence and uniqueness theorem and several judgement theorems on stability and instability for several types of nonlinear singular systems. Using Z-transformation, we estabilished the response formula of discrete singular systems with delay, and obtained the sufficient and necessary condition of rearchability.

如我们得到了某些非线性广义系统解的存在唯一性定理，及稳定与渐近稳定的判据；利用Z变换方法，得到了滞后离散广义系统的一般响应公式，进而得到了局部可达与局部能控的充要条件等。

In this project, we study the theory of higher order differential equations in Banach spaces and related topics. We solve an open problem put forward by two American Mathematicians and two Italian Mathematicians concerning wave equations with generalized Weztzell boundary conditions, introduce an existence family of operators from a Banach space $Y$ to $X$ for the Cauchy problem for higher order differential equations in a Banach space $X$, establish a sufficient and necessary condition ensuring $ACP_n$ possesses an exponentially bounded existence family, as well as some basic results in a quite general setting about the existence and continuous dependence on initial data of the solutions of $ACP_n$ and $IACP_n$. We set up quite a few multiplicative and additive perturbation theorems for existence families governing a wide class of higher order differential equations, regularized cosine operator families, regularized semigroups, and solution operators of Volterra integral equations, obtain classical and strict solutions having optimal regularity for the inhomogeneous nonautonomous heat equations with generalized Wentzell boundary conditions, gain novel existence and uniqueness theorems,which extend essentially the existing results, for mild and classical solutions of nonlocal Cauchy problems for semilinear evolution equations, present a new theorem with regard to the boundary feedback stabilization of a hybrid system composed of a viscoelastic thin plate with one part of its edge clamped and the rest-free part attached to a visocelastic rigid body. Also we obtain many other research results.

在本研究中，我们对Banach空间中的高阶算子微分方程的理论以及相关理论进行了深入研究，解决了由美国和意大利的四位数学家联合提出的一个关于广义Wentzell边界条件下的波动方程适定性的公开问题，恰当地定义了Banach空间中的高阶算子微分方程Cauchy问题的算子存在族及唯一族，建立了齐次和非齐次高阶算子微分方程Cauchy问题适定性的判别定理，获得了关于高阶退化算子微分方程的算子存在族、正则余弦算子族、正则算子半群、Volterra积分方程解算子族的乘积扰动和混合扰动定理，得到了关于以依赖于时间的二阶微分算子为系数的一大类非自治热方程非齐次情形下的时变广义Wentzell动力边值问题的古典解、严格解的最大正则性结果，获得了半线性发展方程非局部Cauchy问题广义解和经典解存在唯一的判别条件，从实质上推广了现有的相关结果；得到了一部分边缘固定而另一部分附在一粘弹性刚体上的薄板构成的混合粘弹性系统的边界反馈稳定化的新稳定化定理，还建立了一系列其他研究结果。

Uniqueness of solution for generalized variational inequality related to strongly monotone Lipschitz mapping is shown. A sufficient condition is presented on the connectedness of solution set for the weak vector variational inequality on which the mapping is from a topological vector space X to L , where Y is also a topological vector space. The result is derived by discussing the properties of set-valued mapping induced by solution set of a scalar variational inequality related to the weak vector variational inequality.

利用拓扑向量空间到连续线性映射空间L的映射的弱向量变分不等式和与之相关的标量型变分不等式解集的关系，得到标量型变分不等式解集所表征的集值映射的特性和弱向量变分不等式解集的连通性条件。

In this paper,we prove the existence and uniqueness of global weak solution of Non Newton Filtration equation with a kind of nonlinear boundary condition.

证明了一类具有非线性边值条件的非牛顿渗流方程解的存在和唯一性。

In Lipschitz condition of the signal transmission functions, the uniqueness of the equilibrium for MAM is proved respectively by using M matrix properties and using homeomorphous map.

在信号传递函数满足李普希兹条件下，分别利用M矩阵性质及同胚映射证明了平衡点的唯一性。

In this paper include: Successfully using iterative analysis method get some pulsive delay differential equations and sufficient condition of the existence,uniqueness and stablility of their solutions.

本文主要工作包括：利用迭代分析方法很成功地获得了某类脉冲和时滞微分方程解的存在性和唯一性，以及其解稳定的充分条件。

The post-evaluation of highway construction project goal sustainability is analytic evaluation made after the completion and a period of operation of the project , through analyzing and evaluating for condition of exterior (development of social and economy, management of system and code , condition of highway net , construction of corresponding establishment ) and interiority (system of function , interior management and circumstances of service , charge for highway and the condition of operation), to judge the project of highway operate smoothly or not , and the project have the ability to achieve the target of safety , expeditor , shortcut , higher benefit and lower cost persistently or not .

公路建设项目目标持续性后评价是指公路建设项目在建成通车后一段时间，通过对外部条件(社会经济发展、管理体制与法规、公路网状况、配套设施建设)和内部条件(运行机制、内部管理与服务情况、公路收费及运营状况)等的分析评价，来判断此公路建设项目是否能顺利的持续运营下去，并且和有能力持续实现它安全、通畅、快捷、高效益和低成本这一目标。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。