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It presents developments in the study and optimal control of partial differential and functional differential equations.

它提出在偏微分和功能微分方程的研究和最佳控制方面的发展。

It is pointed out that the solution of the differential equation is a periodic function.

建立了水平方向静电悬浮非线性系统微分方程形式的数学模型,指明了该微分方程的解是振动周期函数。

By using Galerkin's method the partial differential equation is reduced ordinary differential equation with quadratic nonlinearity.

对于非线性运动方程,我们引入了外加强迫力和阻尼对系统的摄动,借助Galerkin方法从非线性偏微分方程得到了含二次非线性的常微分方程。

This thesis is concerned with the existence of solutions of semilinear evolution impulsive equations as well as the existence of positive solutions of them. And the existence of solutions for terminal problems of impulsive differential equations is also concerned in this thesis.

本文主要研究半线性发展脉冲微分方程解和正解的存在性,以及脉冲微分方程终值问题解的存在性。

This paper deals with the singular perturbation of the boundary value problem of a class of third order nonlinear differential equations.

研究一类三阶非线性微分方程边值问题的奇摄动,由于退化问题是一阶微分方程,将失去两个初值条件,所以摄动解在x=0的某一邻域内将出现非一致性。

Besides, the result based on Statistical Accuracy Rate is also an important measure of the reliability of differentiation mode, as well as that of a class of AD tools.

另外,本文提出的基于统计准确率评价准则是评价微分模式和一类自动微分工具可靠性的重要尺度。

Moreover, applying the theories of backward stochastic differential equation and partial differential equation, the models have been converted.

并借助于倒向随机微分方程以及偏微分方程的重要理论完成了对模型的转化。

The finite difference method is applied to reduce the system of partial differential equations to ordinary differential equations.

采用有限差分方法,将由偏微分方程组描述的空间连续系统约化为由常微分方程组描述的空间离散高维动力系统。

Firstly, the system of coupled first-order differential equations of the generalized telegrapher's equations was converted to a system of second-order differential equations.

首先,将时域耦合波方程组的关于轴向z的一阶关联偏微分方程组形式化为二阶偏微分方程组形式;然后采用时域有限差分法"预测-校正"方式对其进行求解。

It is well-known that the theory of impulsive differential equations is not only richer than the corresponding theory of different...

脉冲微分方程不仅比相应的微分方程理论丰富,而且它更加精确和实际的刻画了许多自然现象。

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