查询词典 existence theorem

this article discusses the integral theorem of mean the promoted question, mainly has two aspects: On the one hand in analyzes in the teaching material under the first integral theorem of mean condition, had proven lies between the value spot to have to be possible to obtain in the open-interval, further discusses this knot promotes to the generalized Riemann integral, and further proved the conclusion also establishes to the promoted first integral theorem of mean; Promotes on the one hand in addition the integral theorem of mean to in the curve and the curved surface, and has proven the curvilinear integral theorem of mean and the surface integral theorem of mean.

本文讨论积分中值定理的推广问题，主要有二个方面：一方面在分析教材中第一积分中值定理的条件下，证明了介值点必可在开区间内取得，进一步将这个结论推广到广义Riemann积分，并进一步证明结论对推广的第一积分中值定理也成立；另一方面，将积分中值定理推广到曲线和曲面中，并证明了曲线积分中值定理和曲面积分中值定理。

The thesis will introduce, respectively, relevant concepts of residue theorem and its promotion and application in two parts In the basic concepts of chapter II, the definition, classification and relationship between function zero and pole of the isolated singular point are given to lead out relevant definition, theorem and solving method, while the core content of this paper is promotion and application of residue theorem, including calculation of integration by using residues, application in diagonal theorem and argument theorem, application in electromagnetism and theorem promotion and relevant application of extension theorems

本文将从两大部分分别引入和浅析了留数定理的相关概念及其推广和应用在第二章的基本概念部分中，给出了孤立奇点的定义和分类、函数零点与极点的关系，从而引出留数定理的相关定义与定理及其求法而本文的核心内容也就是留数定理的推广和应用，包括运用留数来计算积分、体现在对角定理与辐角定理中的应用、在电磁学中的应用及其定理的推广和推广定理的相关应用

In fifth chapter,as applications of the existence theorem of〓-optimalcoupling operator for the jump processes,the estimate of the varied expontialconvergence rate for the jump processes and the existence of an order-preservingMarkov coupling for the jump processes are investigated,where,the obtained theexistence theorem of an order-preserving Markov coupling is a general theorem onPolish space endowed with semiorder,it includes the results that existence theoremon countable state apace endowed with total order or finite state space endow withsemiorder have been obtained by the internal and external mathematicians in recentten years.

第五章作为跳过程〓最优耦合算子存在性定理的应用，讨论了跳过程各种指数收敛速度的估计和保序Markov耦合的存在性。其中保序Markov耦合存在定理是具有偏序关系波兰空间上的跳过程最一般的定理，它包括了近10年来国内外对具有全序关系可数状态空间或具有偏序关系有限状态空间上的跳过程关于保序Markov耦合存在定理的研究成果。

Metaphysics can be distinguished for abstract and concrete metaphysics. The origin 、resource、whole and world prospect of language are different kinds of metaphysics. Their same character lies in different understanding about existence. The concrete understanding about existence requires that the concern on existence relates to the existence of man, overcome the separation between essence and appearance, facilitate time and existence、existence and existencer. The concrete understanding on existence consists concrete metaphysics.

回顾形而上学的历史不难发现，存在着抽象的形而上学与具体的形而上学，从追求存在的始基，到以观念为存在的本源，从预设终极的大全，到建构语言层面的世界图景，构成了抽象的形而上学的不同类型，它们共同的特征在于对存在的抽象理解；对存在的具体理解要求将存在的关注与人的存在联系起来，扬弃形上与形下的分离，克服本质与现象、体与用、一与多之间的悬隔，沟通时间与存在、存在与存在者，对存在的具体理解，构成了形而上学的具体形态。

Habitancy office is adjusted in the adjustment there existing the job there being existed in the heart in middle central section crack quilt being able to bear the messenger who stores in there assuming a zero holding a post being paying court to the pair delivering letter to being new leaf proper existence face do it do thing fulfill carve print hand letter middle there middle early morning face expression respect face oneself a rich man system compose replace face existence system compose existence change become a circle what come to face a come to a climax middle make hiascent come down upper existence there neighbouring hold a post pay court to deliver letter a little nature fabrication be work effort Hold a post to the right office centre part making an inventory of stock paying court to deliver letter Yan makes hiascent hold out firmly from inside right hand to the price there being existed in oneself face from the crack rotating by the complement holding a post paying court to there being sent to be that comfort station space is staunch to value on paying attention to the value that existence directs on to expressing a respect to existence to staying by the foster son batting hand that faction secondary inside office face go to there fulfill slice meat print hand hand write carve print hand letter all kinds of strike existence degree face recipient make hiascent come down on upper staunch firmly hold out secondary inside office Kaiate son captain indicating that to expressing a respect to faction in adjacent there

Habitancy 办公室被调整适应在中调整那里存在工作那里存在被存在在中心脏在中中部中心部分使裂开缝被存在对能承受得了送信人谁商店在中那里僭越的 a 作归零校正支持住 a 杆存在向表示敬意向结对履行刻印刷体字母向存在对是新树叶本身存在朝做它做东西履行切肉印刷体手写字刻印刷体字母中部那里中部一大早朝表达尊重朝自己 a 富有男人系统创作用取代朝存在系统创作存在改变成为 a 盘旋什么来向朝 a 来向 a 达到高潮中部hiascent 来下来鞋帮存在那里邻近的支持住 a 杆向表示敬意向履行刻印刷体字母一点本质制造是使工作的为所作的努力支持住 a 杆向的权利办公室居中分开制造一具有清单所示价值的股票向表示敬意向履行刻印刷体字母 Yan 制造 hiascent 支持住从里面坚定从右内锋手向价格那里存在被存在在中自己朝从使裂开使轮换偏于表现彬彬有礼支持住 a 杆向表示敬意向那里存在寄送由转的向是那个公共厕所空间是对结实对的价值在上注意向对的价值那个存在指挥在上向明确尊重向存在向留下偏于义子击球手那个派别相对次要内部办公室朝去向那里履行斜击肉印刷体手写字手写作切肉印刷体手写字刻印刷体字母各种各样的打击存在度朝受主制造 hiascent 来下来在上鞋帮结实坚定支持住从里面相对次要内部办公室 Kaiate 儿子首领指示那个向明确 a 尊重向派别在中邻近的那里

Differential intermediate value theorem and the Taylor formula In this paper, leads to Fermat's theorem Rolle Mean Value Theorem, and then constructing auxiliary function of the Lagrange mean value theorem and Cauchy's Mean Value Theorem to prove that.

微分中值定理和泰勒公式本文通过费马定理引出罗尔中值定理，再构造辅助函数对拉格朗日中值定理和柯西中值定理进行证明。

The positive periodic solution of functional differential equation with infinite delay is deeply concentrated these years, some scholars study this subject by means of Lyapunov theorem, Schauder fixed point theorem, and cone extending and compression theorem (from thesis -[5]), and they obtain the existence theorem of positive periodic solution.

近年来，无穷时滞泛函微分方程的周期解问题受到广泛关注，一些学者应用Lyapunov泛函方法，Schauder不动点方法，以及非线性泛函分析中的锥拉伸锥压缩方法(见[1]-[5])，研究了无穷时滞泛函微分方程的周期解的存在性问题。

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。

By mean of the method of upper and lower solutions, we will obtain a existence theorem like Kazdan-Warners. Using this theorem, we will study the vortex equation in holomorphic line bundle over complex manifold and prove a theorem of existence of Hermitian metric with a prescribed holomorphic section.

在本论文的最后部分，我们在紧复流形上讨论一类Kazdan-Warner型方程，用上下解方法得到了光滑解存在的Kazdan-Warner型定理，并将其用于研究全纯线丛的涡旋方程，得到了一个具有预定全纯截面的厄米度量的存在定理。

In chapter 4, we first discussed the existence of multiple positive solutions of the second order nonsingular Dirichlet boundary value problem for impulsive differential equations by using the fixed point index theorem in cones . Next, we presented some new existence results for singular boundary value problems for second order impulsive differential equations by using fixed point theorem in cones and Leray-Schauder nonlinear alternative theorem.

第四章我们首先利用锥不动点定理讨论了非奇异二阶脉冲微分方程狄利克莱边值问题多个正解的存在性；其次我们用锥不动点定理和Leray-Schauder型非线性抉择定理，讨论了奇异二阶脉冲微分方程狄利克莱边值问题一个及多个正解的存在性。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。