查询词典 existence conditions

Huang and Lin proposed the weak solution concept for Backward Stochastic Differential Equation This paper based on the predecessor's work , gives the weak solution concept for Backward Stochastic Differential Equation with continuous martingale,uses the Girsanov transformation, obtains its weak solution of the existence of a necessary and sufficient conditions, and on this basis obtains its weak solution of the existence of sufficient conditions,these sufficient conditions weakened the drifting coefficient which requested in the existence uniqueness of strong solution to satisfy the Lipschitz condition the request.

本文在前人研究的基础上，给出由连续鞅驱动的倒向随机微分方程弱解的概念，利用Girsanov变换，得到其弱解存在的存在的一个充分必要条件，并在此基础上得到了其弱解存在的一些充分条件，这些充分条件减弱了在强解的存在唯一性中要求的漂移系数满足Lipschitz条件的要求。

Transforming the boundary value problem with p-Laplace operator into operator equation, giving propriety conditions for different value of p,and using an extension of Mawhin s continuation theorem,the existence of solution of a boundary value problem with p-Laplace operator is proved, and the sufficient conditions for solution existence are obtained.

将具p-Laplace算子的边值问题转化成算子方程，对于p的不同取值给出适当的条件。利用Mawhin连续引理的推广形式，证明了一类具p-Laplace算子的微分方程边值问题解的存在性，得到了一系列解存在的充分条件

The selection of geological prospecting in different stages(initial-prospecting, detailed-prospecting)(2)the selection of geological prospecting in the deep-laid and shallow-laid of tunnel project (3)the selection of geological prospecting of tunnel projecting in different geological conditions Finally, the author summed up main problems needing to be solved in tunnel engineering geological prospecting as follow:(1)differentiate stratum and find out the depth and thickness of different stratums in the tunnel section (2)find out geological structure and existence situation of fault, broken zone and weak plane (3)find out weathering level of bed rock to classify surrounding rock combining speed materials (4)differentiate stratum structure of the entrance of tunnel to judge the stability of it (5)find out existence situation and performance of ground water (6)situations of other harmful geological phenomenon In view of above problems and classification of surrounding rock, the author showed principles of rational choosing of methods in geological prospecting and counted disperse range of physical character parameter value in different petrosal character, getting achievements as follow:(1)summarization of effect, merits and demerits of different geological prospecting methods in the tunnel geological investigation (2)method selection and arrangement principle of tunnel engineering geological prospecting in different geological conditions and prospecting stages (3)According to previous experience and cases, the author concluded the物性parameters most in use ,and showed the basis of selecting geological prospecting methods in different geological conditions.

论文中用几个应用实例来说明：(1)不同勘察阶段物探工作的选用；(2)深埋、浅埋隧道工程物探工作的选用；(3)不同地质条件隧道工程物探工作的选用。最后总结归纳出隧道工程物探所需要解决的问题主要有：(1)划分地层，查明隧道通过剖面的各地层深度与厚度。(2)查明地质构造，隧道轴线段有无断层、破碎带、软弱层面等。(3)查明基岩风化程度，从而结合速度资料进行围岩分级。(4)划分洞口地层结构，判断洞口稳定性。(5)查明地下水赋存情况及其活动动态。(6)其他不良地质现象存在情况。针对上述需要查明的地质问题与计算围岩分级情况，论文提出合理选用物探方法的原则，并统计了物性参数值在不同岩性中的分布范围。得出以下研究成果：(1)总结出各物探方法在隧道地质调查中的作用和优缺点。(2)得出不同地质条件下和不同勘察阶段，隧道工程物探方法选择和布置的原则。(3)根据以往工作经验和事例，对常用的物性参数进行了归纳总结，同时介绍了不同地质条件下物探方法选择的依据。

About the existence of duadic codes, Ward and Zhu(1994) obtained necessary and sufficient conditions for existence of duadic abelian codes, Zhang(1997) gave the existent conditions for such codes by some parameters and obtained necessary and sufficient conditions for existence of central duadic group algebra codes.

对duadic群代数码的存在性问题，Ward和朱烈(1994)解决了域上duadic阿贝尔码存在性；张胜元(1997)年用参数形式给出更具体的判定条件和中心duadic群代数码存在的充分必要条件。

By applying H〓 control theory method, chapter six presents and proves the existence conditions of Nash equilibrium strategy of N person dynamic noncooperative game theory with energy bounded uncertainty. Furthermore, an illustrate example of differential game on government debt stabilization shows that the disturbance can be attenuated efficiently by taking H〓 Nash equilibrium strategies.

第六章应用H〓控制理论方法，研究了系统受到能量有限不确定性扰动情况下，如何求N人非合作动态对策问题的纳什均衡解，并通过一个关于政府债务稳定微分对策问题的简例，进一步证实了采用H〓控制策略可以有效地抑制不确定性扰动对于控制目标的影响。

In this paper, the unique existence conditions for minimal determining set of non binary complete rational choice function is studied.

研究社会选择理论中非二元性选择函数的最小决定集的唯一存在性条件。

We study the relation between topological sigma models and generalized geometries. The existence conditions for the most general type of topological sigma models obtained from twisting the N=(2,2) supersymmetric sigma model are investigated, and are found to be related to twisted generalized Calabi-Yau structures. The properties of these topological sigma models are analyzed in detail. The observa....

六标准差从1987年在摩托罗拉公司推行至今，已近20个年头，从一开始制造面的改善，延伸到非制造性的企业流程当中，它不但有效地变化员工能力与态度，也为企业带来突破性的营运改善，全方位提升企业竞争力；但事实上，六标准差管理活动导入对企业是一大变革性的挑战，因为其中牵涉策略、组织。。。。

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。

In the case of that nonlinear systems have high frequency unmodeled dynamics, structure charaderistics and it′s decoupling control existence conditions are analysised.

针对航天器大角度旋转机动运动，分析了该非线性系统的动态结构特征及其解耦控制存在的条件。

The Nash equilibrium problem with l2-nor m bound disturbance was studied. The problem was considered as a compound dynam ic game described by N-person non-cooperative dynamic game and two-person zer o-sum dynamic game. By applying H∞ control theory method, the existence conditions of linear quadratic Nash equilibrium H∞ disturbance attenuati on strategies were presented and proved, and its state feedback Nash equilibrium solutions were given.

研究具有l2范数有界不确定性扰动的纳什均衡问题以具有不确定性扰动的线性二次纳什均衡对策问题为例，将其归结为由二人非合作非零和对策和各对策方与外部扰动的二人零和对策构成的复合对策问题，应用H∞控制理论方法，给出并证明了扰动衰减H∞状态反馈策略存在的条件和求解方法，并通过简例说明了算法的有效性

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。