查询词典 ordinary differential equation

This paper introduced the differentiator series method to solve the group of linear ordinary differential equation with free term fi∈ eλ t pmλ∈ z,pm(t is polynomial of degree m first,the theories of solution were introduced,next,examples.

用微分算子级数法求解自由项为fi∈eλtpm的线性微分方程组（λ∈Z，pm是t的m次多顶式）。

For the first-order ordinary differential equation system, the coefficient matrix of variables with derivative is decomposed into the triangular factor form and transformed into unit matrix.

对于一阶常微分方程组，将具有导数变量的系数矩阵作三角化分解，使其简化成单位矩阵。

Based on the maximum principle,we construct the blowing-up lower solution by the relations of parameters and solution of the ordinary differential equation and then the blow-up properties are studied.We use the maximal principle to analyse the derivative profiles of the solution and get the lower bounds and upper bounds of blow-up rate through the complicated analysis technology and the inequality theory.

基于最大值原理的比较理论，通过一些特定的参数关系，利用相关常微分方程的解构造合适的爆破形式的下解，由此得到退化反应系统初边值问题的爆破解；然后，对爆破解的性质进行进一步的研究，利用极大值原理对解的导数特性进行了分析，给出了解的爆破速率的上、下界估计。

In this approach we have the freedom in the choice of step size during the integration of the ordinary differential equation.

在这种方法中，我们可以在对常微分方程进行积分的过程中自由选择步长。

From then on plenty of work had been done to research the periodic solution and stability of ordinary differential equation.

此后大量的工作研究常微分方程的周期解、稳定性，这在一定程度上解释了种群的共存、灭绝、持续生存。

Which is one of the most important in the research of ordinary differential equation.

常微分方程解的有界性问题最早是在研究生物学，生态学，生理学，物理学，神经网络等问题中提出的，是常微分方程研究中一个十分重要的领域。

In which denotes the th derivatives of with respect to is called an ordinary differential equation of order .

在一个方程中，如果未知量是一个函数，且方程中含有这个函数的导数，则称此方程为微分方程。

Along with the development of science and technology and social progress, and ordinary differential equation theory and applications are constantly expanding and deepening, their role has become increasingly being valued.

随着科学技术的发展和社会进步，常微分方程的理论和应用不断扩大和深入，其作用也越来越被人们所重视。

In Chapter 1, we introduce a survey to the development of topological methods and their applications in boundary value problems of ordinary differential equation.

第二章研究两点和多点非线性微分方程边值问题正解的存在性。

And some results about continuation for solution of initial-value problem of ordinary differential equation are also presented.

对定积分中值定理作出推广并应用于方程初值问题解的延拓，得出了关于解向右延拓的两个结果。

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。