查询词典 ordinary differential equation

Some new solutions of an auxiliary ordinary differential equation are obtained, which were neglected by Sirendaoreji etc. in auxiliary equation method.

得到了一个辅助微分方程的一些新解，这些解在Sirendaoreji等的辅助方程方法中没有给出。

By utilizing the auxiliary ordinary differential equation and its solutions, the first kind and second kind of KdV equation with variable coefficients were investigated by means of the extended tanh-function method, and abundant new exact solitary wave solutions were obtained under certain conditions.

利用该方程及其解，采用改进的tanh函数展开法研究了第1类和第2类变系数KdV方程，获得了在一定条件下的若干新精确孤波解。

Based on the theory of mechanical energy conservation,a compressible non-Newton fluid flowing ordinary differential equation on pressure is found by deducing and simplifying the academic formulas with considering the pressure gradient of acceleration,consummating the state equation of foam by using Berthelot second virial coefficient,and logical assumptions.

基于机械能守恒原理，考虑加速度压力梯度项，以Berthelot第二维里系数完善了泡沫流体的状态方程，结合了合理的假设，通过对理论公式推导和化简，得到了非牛顿流体可压缩流动的关于压力的常微分方程。

In §2, four met0hods for solving the integrable second order homogeneous linear ordinary differential equation with variable coefficientsy +py'+Qy=0 are given. Thus, the equation can be solved by means of elementary integrals and algebra.

给出了二阶变系数线性方程y＂＋py＇＋Qy＝0在可积的条件下的几种不同的求解方程，从而说明了这种可积的二阶方程不仅能用初等积分法求解而且也可以把它代数化，并使其通解公式化。

In Chapter Five, we compare numerical integration of the reproducing kernel with the integral equation of complexified trapezoid through a detailed solution to the initial-value problem of ordinary differential equation to exemplify that the method of interpolation spline integrating and the reproducing kernel is not only feasible in theory but also significant in pratice.

在第五章，我们通过具体的求解一个常微分方程的初值问题，把再生核方法的数值积分和复化梯形积分公式相比较，说明样条插值和再生核相结合的方法不仅是理论上可行的，而且还具有重要的实际意义。

Lyapunov second method is applied to analysis of partial stability of equilibrium of linear ordinary differential equation with constant coefficients, the problems on partial stable matrix, partial positive definite matrix and Lyapunov matrix equation are studied.

将Lyapunov第二方法用于研究常系数线性系统零解的部分变元渐近稳定性，可引出相关的一些特殊矩阵问题，包括部分稳定矩阵、部分位正定矩阵、矩阵方程的可解性等。

The general constitutive equation of the rheological component model is a linear ordinary differential equation of N order, which is a typical SISO linear stationary system.

岩石流变组合模型的本构方程通式—n阶线性常微分方程，是一种典型的SISO线性定常系统。

The state equation of an typical affine nonlinear system was solved with the ordinary differential equation theory.

针对典型的仿射非线性系统，采用常微分方程理论对其进行求解。

This article bases on the knowledge of ordinary differential equation, mathematical and physical equations and equation of reactive pervasion. It researches the blow-up critical exponents of heat conduction type which is parabolic equations with nonlinear boundary constraints.

本篇论文以常微分方程与数学物理方程，反应扩散方程的知识为理论基础，讨论了热传导问题的临界指数问题，该问题是一个带齐次边界条件的非线性抛物型问题。

With c programming language, will step Kiel method of first-order differential equations, given an order ordinary differential equation init...

用c语言编程，定步长基尔法求解一阶常微分方程，给定一阶常微分方程的初值问题。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。