查询词典 differential capstan

Carleman不等式及其在最优控制问题中的应用.Optimal control theory of distributed parameter systems mainly includes: Pontryagin's maximum principle; controllability; Hamilton-Jacobi equation (i.e., dynamic programming equation); time optimal control, etc.In this dissertation, we establish Pontryagin's maximum principle of optimal control problems governed by some nonlinear differential equations (parabolic differential equations, elliptic differential equations and 3-dimensional Navier-Stokes equations), which in particular could have local solut...

在这篇博士论文中，我们建立了非线性微分方程(包括抛物型微分方程，椭圆型微分方程以及3维Navier-Stokes方程)最优控制问题的庞特里雅金最大值原理，特别地，这些方程可能只有局部解或存在多解(我们称这样的系统为非适定系统，相应的最优控制问题为非适定最优控制问题)，以及适定的非线性发展方程最优控制问题的庞特里雅金最大值原理；我们研究了phase-field系统的时间最优控制问题以及Boussinesq系统的局部内可控性。

Linear differential equations of the principle of superposition theory of linear differential equations play an important role, especially in solving linear differential equations of the nature and structure of play to solve the problem of reducing the complexity and difficulty of the role.

请帮忙翻译一下摘要，跪谢线性微分方程解的叠加原理在线性微分方程理论中占有重要地位，尤其是在解决线性微分方程解的性质和结构问题中起到了降低解决问题的复杂度以及难度的作用。

Image for the differential procedures, including the differential horizontal and vertical differential once, such as second derivative.

求图像的微分程序，包括横向微分，纵向微分，一次，二次微分等。

Therefore, basic methodologies for stochastic seismic and filtering responses of nonlinear structure are studied, the approximate solution methodologies and their practical applications are investigated in the dissertation employing equivalent linearization and moment equations method based on FPK equations and Ito stochastic differential equations. The research works are mainly concerned with the following aspects:Firstly, the differential expression of bilinear hysteretic is studied and a new differential expression is developed, then they are demonstrated.

因此，本文基于FPK方程和伊藤随机微分方程，研究了滞后结构物的随机地震反应和随机滤波问题的基本方法，并利用等效线性化法和矩方程法，研究了非线性结构随机地震反应分析和随机滤波分析的近似解法及它们的工程应用。

So called reservoir is physical or mathematical; for a physical system, the mathematical model is a system of partial differential equations with related initial and boundary value conditions, it can describe important physical process occurring in the system, for example, the process occurring in reservoir, which mainly concludes flow of fluids and transportation of mass, gravity、 viscosity、compressibility have effect to it; differential equations describing this process are obtained by combining Darcy law of every phase and its mass equilibrium in differential form.

这种模型是物理的或数学的；一个物理系统的数学模型，是偏微分方程组和适当的一组初、边值条件的总体，它能够描述在系统中发生的重要的物理过程，比如在油藏中发生的过程，主要是流体的流动和质量的转移，重力、粘滞力、压缩性等在流体流动过程中都是起作用的；描述这个过程的微分方程是由将各相达西定律和各该相的微分形式的物质守恒相结合而得到的。

The results showed that about610 protein spots could be visualized on the two dimensional electrophoresis map bycoomassie brilliant blue staining within Mr 9.0～100.0kD and pH 4～7,and about 94 spotswere differential expressed between male-sterile line and its maintainer line by PDQuestsoftware.Among those differential proteins,about 49 spots and 40 spots were differentialexpressed between uninucleate anther stage and binucleate stage respectively;Meanwhilecomparing with the 2-DE maps of the total proteins from the binucleate anther stage anduninucleate stage,15 differential spots were detectable at male-sterile line;and 16 differentialspots were detectable at its maintainer line.

在分子量9.0～100.0 kD、等电点4～7线性范围内，可识别约610个蛋白质点，PDQuest软件分析结果表明：在单核期不育系和保持系之间存在40个差异蛋白质点，二核期两者共有49个差异点；不育系在单核期和二核期两者之间存在有15个差异点，保持系在两个不同时期有16个差异点；不育系与保持系间在表达量上的差异蛋白质点以及不育系与保持系间特异表达或特异缺失的蛋白质点很可能与小麦雄性不育有关。3。

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。

To get more factors associated with erythropoiesis in K562 cells, modified differential display reverse transcription polymerase chain reaction method was applied to identify genes with differential expression in uninduced and hemin-induced K562 cells. Remarkable differential ESTs were firstly selected for cloning, sequencing and analyzed with bioinformatics methods.

为了进一步获得分化过程中相关基因表达的信息，我们应用改良的差异显示RT-PCR技术，分析K562细胞在Hemin诱导的红系分化前后的基因表达变化，获得红系分化相关基因的线索，进而确定在红系分化中起重要作用的基因，并研究它们的作用机制。

The principles and the types of limited slip differentials are discussed. Compared with all kinds of limited slip differential, the preload spring friction disc limited slip differential which is used as the axle bridge differential in a certain SUV is selected at last.

在总结相关资料的基础上，对防滑差速器的原理和分类情况作了分析，通过分析和比较各种防滑差速器的优缺点，最终选择了一种预压弹簧摩擦片式防滑差速器作为某SUV车型的后桥差速器。

By the FEA model that the recharge effect had been taken into account, the surface settlement and the surface differential settlement of the ground surface which was out of the recharge position could be greatly reduced, the recharge effect at far foundation pit wasmuch more apparent than at the near position. By the FEA model that the water-seal effect had been taken into account, the surface settlement and surface differential settlement of the ground surface could be largely reduced; the reduction of the total settlement and the differential settlement increased as the length of water-seal wall grew.

考虑回灌作用的有限元模型计算分析表明：设置回灌井或者回灌排水沟都可减小回灌处以外的地表总的沉降和不均匀沉降，随着排水沟离开基坑边距离的增加，回灌点以外的总沉降量和不均匀沉降都减少，回灌井埋设深度对周围地表沉降影响较小；通过考虑止水帷幕的有限元模型计算分析表明：设置止水帷幕可大大减小基坑周围土体总沉降和不均匀沉降，随着打设止水帷幕深度的增加，基坑周围地表总沉降和不均匀沉降都减小。

We got alerted a couple of times while we were down south that HETs were on the way to bring us back up north because things were going to go hot again, but it was just rumors.

南下的途中我们不只一次得到警告说重型装备运输车将拉着我们重新北上，因为局势正在变得重新紧张起来，但这只是谣传。

It's the one where they find the ghost in the salt mine.

这一集是演他们在盐矿找到鬼