函数是连续可微分的。
函数是连续可微分的。
现在，虽然这一切听起来很简单，在理论上，明显有相当数量的实际问题之前，必须克服偏微分方程的工作，可建。
Now while this all sounds pretty simple in theory, there are clearly quite a number of practical problems to be overcome before a working PDE can be built.
本文讨论了一类含奇异系数双曲偏微分方程柯西问题解的可微性与低阶项之间的关系。
The relationship between the differentiability of solution of Cauchy problem of weak—hyperbolic differential equationand its lower term is studied in this paper.
本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。
This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.
对于二阶变系数线性微分方程来说，这也是可积的一个充分条件。
It is also a sufficient condition for second order linear differential equation with varied coefficient to be integrable.
本文主要探讨可化为常系数的线性微分方程的求解问题。
This paper mainly deals with the solution to the linear differential equation that can be changed into the one with constant coefficients.
对二阶变系数非线性微分方程的常系数化给出两个使其可积的条件，并举例论证。
The two conditions of the second order nonlinear differential equation with variable coefficient are given and expounded with examples.
本文研究马尔可夫调制的随机泛函微分系统和脉冲泛函微分系统的稳定性。
In this dissertation we consider the stability of stochastic functional differential systems with Markovian switching and functional differential systems with impulses, respectively.
提出一阶非线性常微分方程新的可积型，且给出其通解的参数形式。
Proposed a new form of non-linear first-order ordinary differential equation, meanwhile, it shows the parameter form of universal solution.
在弹性力学问题的极坐标解答中，经常会遇到一类可转化为欧拉方程的常微分方程。
A kind of ordinary difference equation that can be transferred to Euler equation, often appears in polar coordinates solution of elastic problems.
研究具有二阶可降阶微分约束的力学系统的形式不变性。
A form invariance for mechanical systems with second_order reducible differential constraints is studied.
现场检测表明，利用一阶微分处理后的磁记忆信号定位特征，可准确地对焊接裂纹进行检测。
Spot inspection indicates that the welding cracks can be evaluated exactly by the location feature of derivative MMM signal.
对可重构模块化机器人逆运动学，我们采用局部指数乘积公式和微分运动学公式而建立的逆运动学数学模型。
The inverse kinematics model of reconfigurable modular robots is based on the local product-of-exponential formulas and differential kinematics equations.
本文利用倒向随机微分方程研究了连续时间下基于可交易证券的风险资产定价模型。
This paper develops a continuous time model by means of the BSDE methodology, in order to price risky assets in terms of the real probability measure.
由此得出了判别重特征线性偏微分算子亚椭园性和局部可解性的若干充分条件。
From this, we obtain some sufficient conditions for hypoellipticity and local solvability of those operators.
第1章介绍了凸集类对空间理论，及基于凸集类对空间理论介绍了广义拟可微函数的部分微分理论。
In Chapter 1, the space of families of pair of convex sets is introduced, which is the quotient space of the set of families of convex sets under suitable equivalence relations.
多段法渗碳的数学模型是线性偏微分方程。线性偏微分方程的一个重要性质是可迭加性。
The mathematical model of multi stage carburizing is a linear partial differential equation, and superposability is an important property of the linear partial differential equation.
本文在一维情形下对拟可微函数的星核进行了讨论，证明了拟微分星-有界等价子类的存在性；
In this paper, the star-kernel of a quasi-differentiable function in one-dimensional space is studied.
本文综合运用了一些金融研究方法，如偏微分方程以及二项式等方法对可转换债券的定价问题进行了深入的研究。
The pricing of convertible bonds is further studied in this paper by taking advantage of Modern Financial mathematics, Financial Engineering, Partial Differential Equations and Binomial Method.
采用时间增益补偿技术，补偿超声波在空气中的衰减，减少回波信号的起伏；由有源全波整流电路和微分电路等组成峰值时间检测电路，可正确检测回波的峰值到达时间。
The peak time detecting circuit which is composed of full-wave rectification circuit and differential circuit can detect the reach time of echo signal accurately.
该方法不用一般的变分原理，可适用任意变系数正定和非正定偏微分方程。利用这一方法得到一个新的八节点四边形平面应力单元。
It doesn't need the variational principle and can be applied to solve non-positive or positive definite partial differential equations with arbitrary variable coefficient.
然后，利用一个新的可测选择定理解决了受非线性微分包含约束的最优控制的存在性。最后，给一例子加以说明所获结果的应用性。
Then, we extend the Fillipov's selection theorem and discuss a general Lagrange type optimal control problem. Finally, we present an example that demonstrates the applicability of our results.
运用线性偏微分方程的可迭加性质所求得的碳浓度分布函数能够描述多段法渗碳过程的物理本质。
The carbon concentration distribution function derived from partial linear differential equation by applying the feasibility of repeat adding can describe the innate character of multi stage ca...
该算法与解析法相比具有计算简单、结果精度高的特点，其作图可推广到非线性微分方程的求解。
It features simplicity in calculation, higher precision in consequence compared with analytic method. It can be applied generalized to solve non-linear difference equation.
给出了该零运动微分动力学下具有冗余度的单框架控制力矩陀螺系统奇异状态的性质，并改进了奇异可脱离性的判别方法。
The character of SGCMG system in the form of zero motion differential dynamic equation is given. The criterion of singularity escapable from reference 4 is improved.
给出了该零运动微分动力学下具有冗余度的单框架控制力矩陀螺系统奇异状态的性质，并改进了奇异可脱离性的判别方法。
The character of SGCMG system in the form of zero motion differential dynamic equation is given. The criterion of singularity escapable from reference 4 is improved.
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