得到了一些方程振动的充分条件，推广了某些齐次方程的振动结果。
The author gets some sufficient conditions for the equations to oscillate and generalizes the result of oscillation of some homogeneous equations.
在齐次方程组求解的过程中，初等行变换的运算过程有时显得并不简便。
In the solving process of homogeneous equation set, the operational procedure for elementary line transformation is sometimes not simple and convenient as it seems to be.
在原有精细积分法的基础上，对非齐次方程出现奇异矩阵的问题进行探讨。
Based on the original precise integration method, the problem that singular matrix appears in non-homogeneous equation was discussed.
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.
将非齐次方程转化为齐次方程不仅使问题变得大为简化，同时也减少了数值计算的工作量。
The treatment, by which the non-homogeneous equation was transformed into homogeneous equation, not only simplifies.
首先将非线性薛定谔方程变形为齐次方程的形式，然后用精细积分法模拟其随时间的演化过程。
First of all, a non-linear Schrodinger equation can be converted into homogeneous equations, and then the precise integration method can be used to solve these problems.
探讨在利用对应直线进行摄像机外部参数校正的过程中，如何快速简便地确定齐次方程组系数矩阵秩的问题。
In camera calibration with line correspondences, it is important to determine the rank of the coefficient matrix of the equation system in a quick and efficient way.
利用两流体模型、小扰动原理和线性一阶齐次方程组有解的条件，得到了气液泡状流型下的压力波色散方程。
Using two-flow model, small perturbation theory and solvable conditions of one-order linear equations, a dispersion equation of pressure wave in horizontal air-liquid bubbly flow was proposed.
为了探讨锚泊线一阶运动的影响，本文通过求解非齐次和齐次方程，分别求得相应的二阶锚链阻尼和二阶锚链力。
In order to find the effect of first-order responses of mooring line, the second order mooring line tension and damping were determined by solving the non-homogeneous and homogeneous equations.
令发电机稳态运行所对应齐次方程的行列式为零，并使发电机的端电压为恒值，计算不同运行状况下机端电容值。
By equating the determinant of the steady-state homogeneous equation to zero, the terminal capacitances for maintaining constant voltage are computed.
采用修正渐近法研究了在力学中应用范围比较广泛的一类具有变系数二阶线性齐次方程，并求得了其修正渐进解。
A class of second orders homogeneous equations with varied coefficient widely applied in mechanics were studied using the amended asymptotic method, and the amended asymptotic solution was derived.
特别是利用广义格林函数证明了高阶齐次方程存在非平凡解的情况下对应的高阶非齐次边值问题存在一解的充要条件。
In particular, we use generalized Green's function to prove that the high-order nonhomogeneous boundary value problem has a solution when the associated homogeneous problem has a nontrivial solution.
更多。同时在求解过程中略去了将齐次方程分块和双线性化的过程，这样就避免了不适当的分块可能产生的对于模型孤子解的结构的限制。
This extended procedure skips the process of equation splitting and bilinearization so as to avoid the possibility of introducing additional limitation on the structure of the soliton solutions.
更多。同时在求解过程中略去了将齐次方程分块和双线性化的过程，这样就避免了不适当的分块可能产生的对于模型孤子解的结构的限制。
This extended procedure skips the process of equation splitting and bilinearization so as to avoid the possibility of introducing additional limitation on the structure of the soliton solutions.
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