then, on the basis of the original equation, new differential equations obtained by derivative of elements are increased, so the closed homogeneous linear ordinary differential equations are obtained;
然后,在原来方程的基础上增加由该集合中的函数的导数构成的微分方程,得到封闭的齐次线性常微分方程组;
we assume that the motion of controlled object is describedby linear ordinary differential equations with variable coefficient, and the final states ofthe system form a convex region of phase space.
受控系统的运动设为变系数线性常微分方程组所描述,而系统的终点状态是相空间内的某一凸性区域。
precise integration method for a kind of non-homogeneous linear ordinary differential equations is presented. this method can give precise numerical results approaching the exact solution.
提出了一种求解一类非齐次线性常微分方程的精细积分方法,通过该方法可以得到逼近计算机精度的结果。
a set of linear ordinary differential equations in the case of sm all deflections is determined by application of the galerkin's method.
在小变形情况下,运用伽辽金方法,可将偏微分方程转换为线性常微分方程组进行求解。
the computation of fundamental solution matrix is very important in considering system of linear ordinary differential equations with constant coefficients.
在讨论常系数线性常微分方程组时,基解矩阵的计算是很重要的一部分内容。
this method is effective for linear ordinary differential equations whose non-homogeneous term belongs to the set described above.
该方法对非齐次项属于该类函数的线性常微分方程行之有效。
based on uniform transformation of vibrational displacements, a new method for formulating a minimal set of second-order linear ordinary differential equations (odes) in three steps is proposed.
基于导出的刚体空间振动位移传递和坐标系间变换的统一公式,提出了采用矩阵变换分三步建立一般多刚体系统振动微分方程的新方法。
then, according to the variational principle, pso is used to solve the second-order linear ordinary differential equations problem in the same way.
另外,根据变分原理,本文还将粒子群优化算法应用到了求解二阶线性常微分方程两点边值问题当中。