查询词典 implicit differential equation

Secondly, we state the partial differential equation which satisfies state transition probability of the two-unit paralleled system, and proves that state transition probability satisfy the equation, and are their minimal nonnegative solutions.

第二，对两个不同型部件、一个修理设备组成的并联系统，其寿命和修理时间的分布函数的各种情况，给出了状态转移概率所满足的偏微分(来源：35ABC论68文网www.abclunwen.com)方程组，证明了状态转移概率满足的方程，并且是这些方程的最小非负解。

M-point boundary value problem; momotone iterative; equation system; impulsive differential-integro equation; three-point boundary value problem; positive solution; Fixed point; Cone

基础科学，数学，数学分析m点边值问题；单调迭代；方程组；脉冲微积分方程；三点边值问题；正解；不动点；锥

Concerned in this paper are the eigenvalues and the corresponding eigenfunctions for the crosswise vibration equation of a bean with continuous load, which can be related to a differential integral equation.

本文研究了附加连续荷载梁的横向振动方程的特征值及特征函数的性质。在一定的假设之下，附加连续荷载梁的横向振动方程对应一个微分积分方程。

With the aid of the solution matrix of Lax equation satisfied by the eigenfunctions, elliptic variables are introduced suitably, which give a direct relation between the soliton equation and the resulting compatible ordinary differential equations.

文中发展了一个分离技术，由此可将连续的和离散的2+1维孤子方程分解为相容的常微分方程或相容的常微分方程和离散流的演化。

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 equation.

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。

Nonlinear partial differential dynamic equations of bending vibration of a tilting stepped drive shaft with two supports were built under non-inertia movement coordinate system by theorem of the motion of mass center and Heaviside function. According to the condition of equal displacement in an adjoining plane of the shaft, an equivalent shaft and its equation were obtained. A motion equation of the equivalent shaft was obtained by method of Galerkin. An approximate steady-state solution of the main resonance was obtained by method of multiple scales. The influence factors, motion stability, amplitude jump of main resonance of a stepped drive shaft and so on were analyzed.

用质心运动定理、Heaviside函数建立了非惯性系下倾料两端支承阶梯传动轴的非线性弯曲振动偏微分动力学方程，并根据相邻轴段的衔接面处位移相等的条件，得到阶梯轴的当量轴及其动力学方程；用Galerkin法得到当量轴的弯曲运动方程，用多尺度法求得稳态下当量轴的主共振的一次近似定常解，分析了影响阶梯传动轴主共振的因素、运动稳定性、振幅突变性等。

This paper discusses the different differential methods of Alternating Direction Implicit Method with initial condition and boundary conditions in detail.

文摘：详细地研究了各种情形的求解二维抛物型方程初边值问题的交替方向隐式差分法。

The technique of boundary-fitted coordinate system is used to overcome the difficulties resulting from the complicated shapes of natural river boundaries;the method of alternating direction implicit finite difference scheme is used to solve the partial differential equations in the transformed plane;and the technique of moving boundary is used to deal with the river bed exposed to water surface.

用适体坐标技术克服天然河道复杂的几何边界给有限差分法所带来的困难；用交替方向隐式有限差分格式求解变换平面上的偏微分方程；用动边界技术处理河床的淹露。

The finite volume method is used to transform the controlling differential equations into the algebra ones, and the semi-implicit method for pressure-linked equations is used to solve the pressure.

同时，采用有限体积法将控制微分方程离散为代数方程，采用SIMPLE方法求解压力。

The implicit or parametric surface has been defined very well in differential geometry.

在传统微分几何中，隐式曲面或参数曲面有完备的定义和计算公式。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。