根据一阶拟线性偏微分方程组的特征理论，讨论内弹道两相流方程组的类型。
Following the theory on characteristics of first order quasi-linear partial differential equations, classification of the balance equations for two-phase flow in interior ballistics is discussed.
利用随机微分方程理论，对一类具有随机特征的风险投资组合问题进行深入研究。
With the theory of stochastic differential equation, the authors discuss a problem of a class of risk investment portfolio with stochastic character.
本文利用特征方程根的性质，研究了开口圆柱薄壳精确微分方程的特征方程的渐近解。
Using the root of the characteristic equation, this paper studies the asymptotic solution of the characteristic equation of the open circular cylindrical thin shells.
控制方程是一维非定常气体动力学偏微分方程组，用隐式中心差分结合特征线法解算。
The numerical solution of the governing equations, pertaining to one-dimensional unsteady gas dynamics, utilizes an implicit finite-difference scheme combined with the method of characteristics.
利用能量范数的导数的性质，将超越特征值问题转化为常微分方程的初值问题。
And by using the property of derivatives of energy norms, the eigenproblem is transformed safely into a specific initial value problem of an ordinary differential equation.
将平面连续弹性体的几何边界形状考虑为随机量，建立了描述这种连续体特征值问题的随机微分方程和边界条件。
Regarding the boundary shape of elastic structures as random variables, stochastic equations and boundary conditions that govern eigenvalue problems are set up.
运用边界元方法求解了重力场中部分充液偏置贮箱内液体晃动的三维边值问题，并将系统运动的联立微分方程组交换后化为广义特征值问题来求解。
The boundary element method is applied to solve the three dimensional boundary value problem. The differential equations are transformed to a generalized eigenvalue problem to be solved.
对一阶拟线性偏微分方程与其特征方程组的关系，文中给出了简洁的逻辑分析和推导方法。
The paper has used concise methods of logical analysis and reasoning to describe the relation between the first-order quasilinear partial differential equation and its system of characteristic...
采用降阶和特征根 （欧拉 ）方法 ，给出了一类三维二阶常系数微分方程组的通解公式 ，并通过算例与拉氏变换法进行了比较。
With the variable replacement method, general solution formulae were given to the linear differential systems with complex constant coefficients and that with a class of complex variable coefficients.
利用常数变易法求解具有实特征根的四阶常系数非齐次线性微分方程，在无需求其特解及基本解组的情况下给出其通解公式，并举例验证公式的适用性。
Demonstrated in this paper is how the Constant-transform method, the typical method for solving differential equations of order one, is used in solving linear differential equations of order three.
利用常数变易法求解具有实特征根的四阶常系数非齐次线性微分方程，在无需求其特解及基本解组的情况下给出其通解公式，并举例验证公式的适用性。
Demonstrated in this paper is how the Constant-transform method, the typical method for solving differential equations of order one, is used in solving linear differential equations of order three.
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