建立了功能梯度材料中SH波的变系数微分方程。
The differential equation with varied coefficient of the SH-wave in the functionally graded materials is established.
本文首次提出精确解析法，用以求解任意变系数微分方程在任意边界条件下的解。
In this paper, the exact analytic method is suggested to solve variable coefficient differential equations under arbitrary, boundary condition.
结果表明，该方法对于求解各类变系数常微分方程是十分有效的。
The result shows that it is effective for solving ordinary differential equation with variable coefficients.
对于二阶变系数线性微分方程来说，这也是可积的一个充分条件。
It is also a sufficient condition for second order linear differential equation with varied coefficient to be integrable.
本文研究了二阶变系数线性常微分方程的一种近似求解方法。
In this paper, we study an approximate solution of the second-order linear ordinary differential equations with variable coefficients.
它可以求解在任意边界条件下任意变系数正定或非正定偏微分方程。
It can be applied to solve nonpositive definite or positive definite partial differential equation with arbitrary variable coefficient under arbitrary boundary condition.
提出精细积分半解析法求解变系数的以超孔压和孔隙比为控制变量的渗压固结微分方程。
A precise time step integration method was proposed to solve the finite strain osmotic consolidation equation with varied coefficients.
对二阶变系数非线性微分方程的常系数化给出两个使其可积的条件，并举例论证。
The two conditions of the second order nonlinear differential equation with variable coefficient are given and expounded with examples.
本文假设了接近砖烟囱实际截面面积的函数，推出了一个变系数的自由振动微分方程。
In this paper, a cross-section function of brick chimney has been assumed based on traditional hypothesis and a variable coefficient free-vibrating differential equation has been derived.
本文研究了一类一阶变系数非线性滞后型微分方程解的振动性，得到这类方程仅有振动解的充分条件。
The study is made on the oscillation of a class of the first order nonlinear retarded differential equations with variable coefficients, and the sufficient conditions are obtained.
又对于变密度、变比热、变导热系数这样的更一般的情况也推立了六个二阶热传导的微分方程。
By the way, for the case of variable density, specific heat as well as thermal conductivity, we have been successful to deduce other similar six heat transfer differential equations.
给出了变系数二阶齐次线性常微分方程的一种积分形式解和几类变系数二阶齐线性常微分方程的普遍解。
The solutions of interal form and the general solutions of some second order homogeneous linear differential equations with variable coefficient are given.
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。
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.
探讨了某些特殊类型二阶变系数齐次线性常微分方程的解与系数的广义关系，尝试了从理论上给出通解的一般形式和特解的系数决定式。
The thesis analyzes the relationship between Wronsky determinant and linear equation relativity of function in order to get the common solution determinant of linear differential coefficient equation.
该方法不用一般的变分原理，可适用任意变系数正定和非正定偏微分方程。利用这一方法得到一个新的八节点四边形平面应力单元。
It doesn't need the variational principle and can be applied to solve non-positive or positive definite partial differential equations with arbitrary variable coefficient.
该方法不用一般的变分原理，可适用任意变系数正定和非正定偏微分方程。利用这一方法得到一个新的八节点四边形平面应力单元。
It doesn't need the variational principle and can be applied to solve non-positive or positive definite partial differential equations with arbitrary variable coefficient.
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