非齐次方程

Hadamard构造基本解的思想，构造了p+q变元齐次超双曲型方程特征问题的解，此方法也适用于非齐次方程、变系数方程。

Hadamard to construct the elementary solution . Our method can also be applied to nonhomogeneous and variable cofficient equations .

§4.线性非齐次方程比较定理。

§ 4 Comparison theorems of linear nonhomogeneous equations .

N阶常系数线性非齐次方程通解的积分表达式

An integral representation for general solution of n-order constant coefficient nonhomogeneous linear equation

用乘积的高阶导数莱布尼兰公式推导出了n阶常系数线性非齐次方程通解的积分表达式。

Leibniz ' formula of the product derivative of higher order has been adopted to derive an integral representation for general solution of n-order constant coefficient nonhomogeneous linear equation .

将Liouville公式推广到n阶线性非齐次方程，并给出了若干应用。

In this paper , the formula of Liouville is extended to n-th-order linear nonhomogeneous differential equation , and its applications are given .

线性非齐次方程的Liouville公式及应用

Formula of Liouville of Linear Nonhomogeneous and Its Applications

线性非齐次方程待定函数法及相关定理证明

Theorem of method of undetermined function for linear nonhomogeneous and its proof

某一类一阶中立型线性非齐次方程的振动性

Oscillation of a Class of First Order Linear Non - homogeneous Neutral Equations

二阶线性非齐次方程振荡性的研究

Researching on Oscillatory Solution of the Second Order Linear Nonhomogeneous Ordinary Differential Equation

又给出了具有完全历史的非齐次方程的一般解公式。

The formula of general solutions of non-homogenous equations with complete history is also given .

本文采用求解非齐次方程组的广义黎曼问题解，对模型数值通量计算格式进行了修改。

In hydrodynamics , however , the scheme for numerical flux is constructed from the solution of the generalized Riemann problem in the present research .

给出确定二阶常系数线性非齐次方程特解中多项式系数的公式。

N this paper the authors establish formula of polynomial coefficients for a particular solution of linear nonhomogeneous differential equations of second order with constant coefficients .

齐次方程大大简化了人们在分析压电热弹性体耦合问题时，通常要求解非齐次方程和关于平衡方程和导热方程的二阶微分方程的繁琐方法，同时也减少了数值计算工作量。

The homogeneous equation simplifies greatly the solution programs which are often performed to solve non-homogeneous equation and second order differential equation on the thermal equilibrium and gradient relationship .

通过对结构动力方程精细时程积分方法的讨论，指出非齐次方程的精度控制在于荷载项积分方法的选择。

Through discussing precise time-integration method of structural dynamics , this part points out that the accuracy of nonlinear equation depends on the selection of integration method of load item .

常系数线性非齐次方程组特解的一个注记第三，总结了在直角坐标系和轴对称柱坐标系下，流体的连续性方程和动量方程的几种特殊形式。

The Explanation of the Specific Solution for the System of Linear nonhomogeneous Equation with Constant Coeficient As for nonhomogeneous equation , the method of integrating coupling pressure and momentum equation is adopted .

对于非齐次方程采用了压力耦合和动量方程联立求解的方法，算出的结果和解齐次方程在同样的初值和边界条件下，相差不大。

As for nonhomogeneous equation , the method of integrating coupling pressure and momentum equation is adopted . The results is near the outcomes of solving homogeneous equation under the same boundary conditions .

本文依据粘塑性梁强迫振动的非齐次方程与非线性本构方程，提出采用分离变量的位移方法求解，获得该问题的应力和位移解。

This paper advanced a method of separating displacement function to solve non-homogeneous kinematic equation and nonlinear constitutive equation of forced vibration of beam . Then we obtained stresses and displacements of the problem .

在频域内采用摄动方法分析系泊结构物慢漂运动时，锚链二阶方程可分解成非齐次方程和齐次方程。

In the analysis of the slow oscillation of a moored floating structure by the perturbation method in frequency domain , the second-order equations of mooring line are divided into non-homogeneous and homogeneous equations .

依此，对解数理方程中含有线性非齐次方程及非齐次边值条件的问题的解法作了统一的与自然的论证。

According to ( 1 ), the methods to solve the problems which contain nonhomogeneous linear partial differential equations of mathematical physics and nonhomogeneous boundary conditions are expounded and proved in a natural and unified way .

讨论复Clifford分析中的非齐次Dirac方程Lu＝f的积分形式的解。

This paper investigates the integral representation of the solution of nonhomogeneous Dirac equation in complex Clifford analysis .

具有整体解的非齐次kirchhoff方程

On Nonhomogeneous Kirchhoff equation of having global solution

带有内光源的导波的控制方程一般是非齐次Helmholtz方程。

Generally , the government equation for guided wave with inside lightsource is non-homogeneous Helmholtz equation .

二维广义非齐次KdV-Burgers方程的反周期行波解

Anti-Periodic Traveling Wave Solution to a Forced Two-Dimensional Generalized KdV-Burgers Equation

对非齐次Bernoulli方程作了探讨，得到了一些新的结论，由此解决了一类非齐次Bernoulli方程的可积性问题。

In this paper , the author discusses a class of Non-homogeneous Bernoulli Equations and obtains some new conclusions , thus solves their integrability .

通过求解非齐次长线方程，利用Fourier变换法推导出了在雷达脉冲干扰下微波传输线上电压的一般积分表达式，分析了两种典型脉冲干扰源对微波传输线的影响。

The general integral expression of voltage of microwave transmission line interfered by radar pulse is derived by using Fourier transformation techniques , and the effect of two kinds of typical radar pulse interference sources on microwave transmission line are analyzed .

具Hardy-Sobolev临界指数的非齐次椭圆方程的正解

Positive Solutions for Nonhomogeneous Elliptic Problems with Critical Hardy-Sobolev Exponents

Excel中“规划求解”解决日常工作中遇到的减少成本与增加利润及非齐次线性方程组解的问题。

Through the " solver " of Excel , we can solve two kinds of question which are encountered in our routine . One is the issue of costs reduction & profits increase , the other is the issue of solving the non-homogeneous linear equation .

关于输入Ebers-Moll模型的信号或是输出信号的求解，都是对一个一阶非线性非齐次微分方程的求解问题。

The problem of Ebers-Moll model of input signal and output signal are solving a first-order non-linear non-homogeneous differential equation .

研究了含分布时滞的非齐次2D-Navier-Stokes方程在非光滑区域上的全局吸引子存在性问题。

In this paper , the existence of the global attractor for 2D-Navier-Stokes equations with distributed delays in nonsmooth domains is obtained .

还对非齐次weber方程在较一般的源函数分布和边界条件下，对不同地形坡度求了数值解，以便研究这种情况下地形坡度和平均风场的关系。

In addition , under a more general source distribution function and an arbitrary boundary condition , we obtain the numerical solutions of the non-homogeneous Weber equation for different topographical slopes , so as to study the relationship between the topographical slope and the mean wind field under these conditions .