This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations.
这门研究生程度课程是对微分方程数值解法的应用和理论的高级导论。
The results show that the solution of differential equations' MWR is successful, and the precision of the shear deformation theory of cylindrical shells is satisfactory.
结果表明：本文提出的控制微分方程的加权残值法解是成功的；而且圆柱壳的剪变形理论有满意的精度。
By using the analysis solution of differential equations based on thin shell theory, the stresses in pressurized long cylinder or piping stiffened with stiffeners were analyzed.
对用加强环加强的受压长圆筒或管道(简称加强圆筒)应用薄壳力矩理论微分方程的解析解求解加强圆筒中的各项应力。
Numerical solution of differential equations method, Includes the modulation, demodulation, signal to noise ratio calculation, it draws on principal component analysis algorithm (PCA).
微分方程组数值解方法，包括调制，解调，信噪比计算，借鉴了主成分分析算法(PCA)。
Using fixed point theorems, in this paper we give sufficient conditions of the existence of bounded mild pseudo almost periodic solution for some semilinear differential equations.
利用不动点理论，给出了一类半线性微分方程有界的调和伪概周期解存在的充分条件。
Based on the estimation of the unit solution matrixes of differential equations, the unique steady state of the dynamic circuits with nonlinear resistors is studied by matrix measure.
本文利用微分方程单位解矩阵估计的相关方法，得到了确定含有非线性电阻的动态电路唯一稳态的条件。
By using fundamental solution matrix and method of perturbation, we give the expression of general solutions for two classes of differential equations.
运用基解矩阵和摄动方法，给出了两类微分方程的通解表达式。
The solution of the governing differential equations is very easy.
该控制微分方程求解简便。
This paper deals with the stability analysis of numerical methods for the solution of delay differential equations.
本文给出了延迟微分方程数值解的稳定性分析。
The differential equations that describe the artificial satellite motion are very complicated, and it is impossible to get the analytic express of solution.
描述人造卫星运动的微分方程非常复杂，不可能给出解的解析表达式。
However it is well-known that the complexity of differential equations in Taylor's theory compelled us to use the troublesome numerical solution.
但是，泰勒理论由于微分方程的复杂性，求解过程都是数值计算，这样对使用其结果时深感不便。
This paper deals with the problems on the existence and uniqueness of bounded solutions and almost periodic solution for third order nonlinear differential equations with time lag.
研究具时滞的三阶非线性微分方程，利用变量替换和不动点方法，得到了此方程有界解和概周期解的存在性及唯一性结果。
The most important content of Science and engineering calculations is to solve a wide variety of differential equations or the numerical solution of equations.
科学与工程计算中的一个最重要的内容就是求解各种各样的微分方程或方程组的数值解。
On the assumption that the media is an ideal fluid, the analytic solution for differential equations of disturbing flow is obtained.
在理想气体假设下给出了扰动流运动微分方程组的解析解；
Aiming at the solving problem of equilibrium solution of this nonlinear model, geometry theory of differential equations is adopted, and the relative calculation formula is given.
采用微分方程几何理论分析河流综合水质模型的基本方程，探讨了河流综合水质模型的平衡状态解的求解方法，并给出相关计算公式。
Beginning from the ordinary differential equations of separable variables, several ordinary differential equations of how to apply variable substitution to seek solution were generalized.
从可分离变量微分方程出发，介绍了几类如何用变量代换求解的常微分方程。
This paper states the expressions of solution of some differential equations with delay.
给出了一类具有滞量的微分方程解的部分表达式。
An iterative time-sharing method suitable for the solution of parabolic differential equations on a small scale digital-analog hybrid computing system is presented.
本文提出了一种适合在小型混合计算系统上求解抛物型偏微分方程及方程组的分时迭代法。
Discussed are the hydraulic transient equations of fluid transient in pipelines and the finite differential solution as well as the practical simulation of short or long pipelines.
文章详细讨论了原油管道瞬变流动的数学描述及有限差分求解方法，并分别分析了对简单管道和长输管道不稳定工况的仿真。
Solution of ordinary differential equations by Continuous Groups offers a self-contained treatment that presumes only a rudimentary exposure to ordinary differential equations.
连续的组对普通的微分方程的解决办法提供只认为对普通的微分方程的一次初步的暴露的一种拘谨的处理方法。
Objective to investigate characters of the solution to first order impulsive differential equations with piecewise constant arguments.
目的研究一阶具有分段常数变量的脉冲微分方程的解的性质。
The numerical solution of chromosome-function was applied for a lot of first order differential equations for the chamber on the projectile in bore of a gun.
利用染色函数解法求解膛内弹上气室气流的一阶非线性分段微分方程组，进行了大量的数值试验，证实数值解是收敛的，也是稳定的。
The differential equations about the two models are educed, the solution of series at the simply supported boundary is presented, and some valuable conclusions are reached.
分别建立了空腹夹层板基于两种模型的基本微分方程，并推导出矩形平面、周边简支条件下的级数解，得到一些有价值的结论。
In the chapter 1, we introduce some methods to study the exact solution of nonlinear partial differential equations.
第一章中我们简述了一些研究非线性偏微分方程精确解的方法。
The paper investigates the solution of a class of linear homogeneous differential equations with varied coefficients and methods of decreasing order of the DE.
探求一类变系数方程的求特解的方法以及对方程的降阶。
Methods of constant variation are an efficient solution to all nonlinear differential equations.
常数变易法是求解非齐次线性微分方程的一种有效方法。
Using the exponential dichotomy and ergodicity of functions, we discuss the existence conditions of asymptotically almost periodic solution for some linear differential equations.
利用指数二分及函数的遍历性，讨论了一类线性微分方程渐近概周期解的存在性。
Using the exponential dichotomy and ergodicity of functions, we discuss the existence conditions of asymptotically almost periodic solution for some linear differential equations.
利用指数二分及函数的遍历性，讨论了一类线性微分方程渐近概周期解的存在性。
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