双曲型偏微分方程

传输线可以看作集中参数二端口网络的级联，其数学模型&电报方程是一阶双曲型偏微分方程组。

Telegraph equations , can be looked as cascade connection of two-port network of lumped circuit of transmission line , is a hyperbolic partial differential equations .

经过线性近似、海水均匀层化假设等一系列简化处理后，自由传播的海洋内波的振幅应满足双曲型偏微分方程和海底海面为流线的约束条件。

Having been simplified by the linear approximation and the uniform-strati - fied assumption , the amplitude of free propagation ocean internal wave should satisfy hyperbolic partial differential equations and the constraint condition with the sea bottom and sea surface being stream line .

脉冲双曲型偏微分方程振动性高阶Laplace算子。

Impulse hyperbolic partial differential equation oscillation higher order Laplace operator .

两个自变量的线性狭义双曲型偏微分方程组Cauchy问题

Cauchy problem for linear limitedly hyperbolic system of partial differential equations in two variables

用Riemann函数求解二阶线性双曲型偏微分方程的边值问题

Using the Riemann function to solute the boundary value problem of the second-order partial differential equation

求解一阶线性双曲型偏微分方程组的一个差分格式

A Difference Scheme Solving First Order Linear Hyperbolic Partial Differential Equations

流图方法在双曲型偏微分方程中的应用举例

An Application of Flow-Graph Method to Hyperbolic Differential Equations

双曲型偏微分方程奇异摄动问题的差分解法

Difference Method of Singular Perturbation Problems for Partial Differential Equations of Hyperbolic Type

插值小波自适应求解双曲型偏微分方程

Adaptivity in Solving Hyperbolic PDEs Using Interpolating Wavelets

超双曲型偏微分方程的一些问题

Some Problems of the Ultra-hyperbolic Partial Differential Equation

一个三阶全双曲型偏微分方程的边值问题

A boundary value problem of a totally hyperbolic partial differential eguation of third order

解双曲型偏微分方程初边值问题的分裂格式

The splitting-up schemes for solving the initial and boundary value problemes of hyperbolic partial differential equation

具非线性扩散系数和阻尼项的双曲型偏微分方程系统解的振动性

Oscillation of the Solutions of Neutral Hyperbolic Partial Differential Equations with Nonlinear Diffusion Coefficient and Damped Terms

双曲型偏微分方程双边值差分逼近的稳定性及其与单边值稳定性的关系

The Relations Between the Stability of Two and Single Boundary Initial-Value Problems of the Hyperbolic Difference Schemes

常微分方程和偏微分方程的数值解具间断右端的常微分方程与一阶准线性双曲型偏微分方程的间断解

The ordinary differential equations with discontinuous right member and the discontinuous solutions of the Quasilinear Partial Differential Equations

二阶常系数线性双曲型偏微分方程组的对顶点定理及其应用

The Opposite Vertex Theorems of Second Order Linear Partial Differential System of Hyperbolic Type with Constant Coefficients and Their Applications

特别是双曲型偏微分方程所代表的线性与非线性波系统的控制工程，已经被许多学者关注。

Controllability of linear and nonlinear wave systems represented by nonlinear wave equations has been studied by a number of authors .

齐次浅水方程在数学上为拟线性双曲型偏微分方程组。

When turbulent and dispersive effects are neglected , the shallow water equations become a quasi-linear system of first order hyperbolic partial differential equations .

利用微元段内的物料与热量平衡，对固定化酶管式热敏传慈器进行了考察，建立了用联立双曲型偏微分方程组描述的数学模型。

By means of the material and energy balances , this paper establishes a mathematical model to describe the tubular hot-sensitive sensor with immobilized enzyme .

本文考虑一类时滞双曲型偏微分方程得到方程解振动的判据。

In this paper the author considers a class of delay hyperbolic differential equations , Oscillation criteria are obtained for the solutions of the equation .

所得结论充分表明振动是由时滞量引起的，同时也揭示了其与普通双曲型偏微分方程质的差异。

The results fully indicate that the oscillation are caused by delay and also reveal the difference between the equations and ordinary hyperbolic partial differential equations without delay .

建立并求解了一维拟线性双曲型偏微分方程组，从而能够给出气侵后环空气－液两相流分布和在压井期间的气－液两相流分布。

The groups of one dimentional quasi-linear hyperbolic partial differential equations were created and solved , thus the two-phase gas-liquid flow patterns along wellbore annulus during gas kick and kill well were described .

主要研究分布参数系统中以双曲型偏微分方程表示的反馈控制，系统的操纵输入、控制输出和测量输出都是空间分布的。

It addresses the feedback control problem for distributed parameter systems described by quasi-linear hyperbolic PDEs , for which the manipulated input , the controlled output , and the measured output are distributed in space .

本文对管道液压的动特性进行了数学模拟，它是求解两个自变量一阶拟线性双曲型偏微分方程组的初边值问题。

The dynamic Characteristic of hydraulic pressure in the duct is simulated mathematically in the paper , it reduces to the initial-boundary value problem for first order quasilinear hyperbolic systems of partial differential equations with two variables .

根据计算实践和物理考虑，指出电磁场基本方程作为一阶双曲型偏微分方程组的初值问题，可以成为有效的天线振子数值计算方法。

On the basis of physical considerations and computational experience , it is poin-ted out that the initial value problem of the Maxwell equations as a set of first order hyperbolic differential equations could become an effective numerical method for the solution of antenna radiation fields .

非线性时滞双曲型偏泛函微分方程的振动准则

Oscillation Criteria for Nonlinear Delay Hyperbolic Partial Functional Differential Equations

考虑一类非线性中立双曲型时滞偏泛函微分方程的振动性，利用Green定理和广义Riccati变换获得了这类方程在两类不同边值条件下所有解振动的若干充分判据。

The oscillation of a class of nonlinear neutral delay hyperbolic partial functional differential equations are considered . By using Green theorem and the generalized Riccati transformation , some sufficient criteria for oscillation of all solutions of such equations are obtained under two different boundary value conditions .

在自相似坐标系下，非线性波动方程组和位势流方程组可以转化为双曲椭圆混合型非线性偏微分方程。方程在超音速区域里是双曲型的，而在亚音速区域里是椭圆型的。

In self-similar coordinates , both nonlinear wave system and potential flow equations can be trans-formed into second order nonlinear partial differential equations . These equations are hyperbolic in supersonic region , while elliptic in subsonic region .

为了以后的研究，我们还研究了带有耗散项的双曲平均曲率流，并导出了其支撑函数与平均曲率分别满足的双曲型偏微分方程。

We also consider the hyperbolic mean curvature flow with the dissipate term and derive the hyperbolic partial differential equations satisfied by the support function and the mean curvature of the curve , respectively .

研究双曲数、双曲型函数、双曲正则函数及其性质，并用双曲型函数讨论了一类双曲型偏微分方程解的存在性和解的性质。

The hyperbolic number , hyperbolic type function and their properties are discussed . By using hyperbolic function , the solvability of a kind partial differential equations and the properties of the solutions are discussed .