Discussed are the hydraulic transient equations of fluid transient in pipelines and the finite differential solution as well as the practical simulation of short or long pipelines.
文章详细讨论了原油管道瞬变流动的数学描述及有限差分求解方法，并分别分析了对简单管道和长输管道不稳定工况的仿真。
So you can write down immediately the solution to this differential equation.
因此可以马上写下，这个微分方程的，解法。
What would a solution be to this differential equation?
这个微分方程的，解法是什么呢？
x as a function of time, and when you have the correct solution x and you substitute that back into that differential equation, that equation will have to be satisfied.
根据时间的变化，x，is，，of，course，，changing，in，some，way,发生相应的变化，当你得到了,和时间的正确关系，for，x，as，a，function，of，time,你把它代入,这个微分方程，这个等式，就能得到满足。
For example, the solution of a differential equation is a function.
例如，这个解决方案的微分方程是一个功能。
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。
Using fixed point theorems, in this paper we give sufficient conditions of the existence of bounded mild pseudo almost periodic solution for some semilinear differential equations.
利用不动点理论，给出了一类半线性微分方程有界的调和伪概周期解存在的充分条件。
In this paper a new method of modeling forecasting is given for the time series by using the numerical solution of differential equation.
本文利用微分方程的数值解法对时间序列建模预测作了新的尝试。
The domain decomposition is a numerically approximating solution to partial differential equations on parallel computers.
区域分解算法是在并行机上求解偏微分方程数值解的一种方法。
This paper mainly deals with the solution to the linear differential equation that can be changed into the one with constant coefficients.
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 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.
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。
Based on the estimation of the unit solution matrixes of differential equations, the unique steady state of the dynamic circuits with nonlinear resistors is studied by matrix measure.
本文利用微分方程单位解矩阵估计的相关方法，得到了确定含有非线性电阻的动态电路唯一稳态的条件。
Objective to investigate characters of the solution to first order impulsive differential equations with piecewise constant arguments.
目的研究一阶具有分段常数变量的脉冲微分方程的解的性质。
In this paper, the numerical solution of differential equation is employed to establish the forecasting model of the time series.
本文利用微分方程的数值解法对时间序列建模预测作了新的尝试。
After analyzing the conventional time-inverse overload protection of the motor, the paper presents a new thermal overload protection scheme basing on the solution of a differential equation.
在分析电动机传统的反时限过负荷保护的基础上，提出一种基于解微分方程的过负荷保护新方案。
It is proved that if the medium is piecewisely homogeneous, the solution of the differential -integral equation satisfies the boundary conditions on boundaries between different media.
证明了在介质为分区均匀的条件下，这个微分-积分方程的解满足不同介质边界面的边界条件。
Using the exponential dichotomy and ergodicity of functions, we discuss the existence conditions of asymptotically almost periodic solution for some linear differential equations.
利用指数二分及函数的遍历性，讨论了一类线性微分方程渐近概周期解的存在性。
According to the diffusibility of the photons transmission, numerical solution of photon transmission partial differential equation was deduced with finite element.
依据光子传输的扩散性，用有限元法导出光子传输扩散偏微分方程的数值解。
The solution of A-harmonic equation and the differential forms have many affinities.
调和方程的解与微分形式之间有着密切的联系。
The results show that the solution of differential equations' MWR is successful, and the precision of the shear deformation theory of cylindrical shells is satisfactory.
结果表明：本文提出的控制微分方程的加权残值法解是成功的；而且圆柱壳的剪变形理论有满意的精度。
The integral differential equation solution technique is used.
采用了积分一微分方程求解技术。
By using the analysis solution of differential equations based on thin shell theory, the stresses in pressurized long cylinder or piping stiffened with stiffeners were analyzed.
对用加强环加强的受压长圆筒或管道(简称加强圆筒)应用薄壳力矩理论微分方程的解析解求解加强圆筒中的各项应力。
A high accuracy algorithm for numerical solution of nonlinear partial differential equation (PDE) is suggested combining wavelet collocation method with generalized energy integral.
将小波配置法与广义能量积分相结合，提出了一种求解非线性偏微分方程的高精度数值方法。
A general solution to differential equation for deflection function in bending problem of orthotropic rectangular thin plate on elastic foundation is established.
建立了弹性地基上的正交异性矩形薄板弯曲挠度函数微分方程的一般解。
A general solution of differential equation for free vibration displacement function of compressed rectangular thin plates on two parameters elastic foundation is established.
建立了双参数弹性地基上受压的矩形薄板自由振动位移函数微分方程的一般解，其中积分常数由边界来确定。
Axisymmetric elasticity problem of cubic quasicrystal is reduced to a solution of a partial differential equation with higher-order by introducing displacement function.
本文通过引入位移函数使得立方准晶的轴对称弹性问题化为求解一高阶偏微分方程。
A general solution of differential equation for deflection function in bending problem of orthotropic rectangular thin plate on elastic foundation is established in this paper.
建立了弹性地基上的正交异性矩形薄板弯曲问题挠度函数微分方程的一般解。
This paper discusses the problem of periodic solution of singular differential equation with delay.
本文讨论退化时滞微分方程的周期解问题。
This paper discusses the problem of periodic solution of singular differential equation with delay.
本文讨论退化时滞微分方程的周期解问题。
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