运用基解矩阵和摄动方法，给出了两类微分方程的通解表达式。
By using fundamental solution matrix and method of perturbation, we give the expression of general solutions for two classes of differential equations.
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。
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.
基于一类矩阵方程的参数化解，给出了该比例加微分反馈特征结构配置设计参数化方法。
Based on parametric solutions for a type of matrix equations, a parametric method for this eigen-structure disposition problem is propose.
本文采用的研究方法有矩阵方法，代数方法和微分几何理论。
The methods used in this dissertation include matrix, algebra as well as differential geometry theory.
最后通过与精确解之间的数值误差和误差图像曲线的比较，验证了所提方法在矩阵微分方程数值解应用中的可行性和有效性。
Finally through a comparison of numerical error and error images, proves that the feasibility and effectiveness of the methods for the numerical solution of the matrix difference equations.
本文应用对母函数微分的方法得到正态随机矩阵多项式的均值与协差阵的表达式。
An expression for the mean and covariance matrix of normal random matrix polynomial is derived by applying the method of matrix differentiation to generating function.
它是用微分算子矩阵方法研究广义动态系统的开端。
The polynomial matrix criteria of controllability and observability related to such systems are presented.
第一节介绍了三次矩阵样条函数方法和四次矩阵样条函数方法逼近一阶矩阵线性微分方程的数值解。
Section I describes the numerical solution of first order matrix linear differential equation using the cubic matrix spline function and quartic matrix spline function.
计算积分的方法、复数方法、无线级数、奇殊函数、微分方程、向量及矩阵、群论。
Methods in evaluating integrals, some complex variable methods, infinite series, special function, ordinary differential equations, vector and materials, groups and group representations.
第二节介绍用三次矩阵样条函数方法逼近一阶矩阵非线性微分方程的数值解。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
第二节介绍用三次矩阵样条函数方法逼近一阶矩阵非线性微分方程的数值解。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
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