同样，用拉氏逆变换，可求出微分方程的解。
At the same time, using the inverse transformation of Laplace to find the solution of differential equation.
本文研究脉冲微分方程的解的存在性与定性性质。
This paper studies the existence for solutions and qualitative properties of impulsive differential equations.
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。
Objective to investigate characters of the solution to first order impulsive differential equations with piecewise constant arguments.
第三章介绍了确定微分方程的解空间的规模的方法及其应用。
Chapter 3 introduces the methods to measure the scale of the solution Spaces of DEs and their applications.
在方程课上，我听了一系列未公开的演讲，强调的是微分方程的解的存在证明及其唯一性。
For the equations course, I was given a set of unpublished lectures that emphasized existence proofs and uniqueness of solutions to differential equations.
本文从非线性微分方程的解过渡到线性稳定分析，从而讨论出稳定态与非稳定态的情况。
In This paper, linear steady analysis is Made from the solution of non-linear differential equation and Luther, the situation of steady state or non-steady state is discussed.
利用时滞脉冲积分不等式，给出了一类非线性的脉冲时滞微分方程的解有界性的充分条件。
Sufficient conditions for boundedness of solutions of nonlinear delay differential equations with impulses are established by using impulsive integral inequalities with a deviation.
该方法能方便、简洁地将密度主方程转化为对应的普通微分方程，并能从微分方程的解中提取出约化密度算符。
Using it we can conveniently and simply convert a ME into its corresponding differential equation and from solution of which we can extract the reduced density operator.
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。
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.
探讨了某些特殊类型二阶变系数齐次线性常微分方程的解与系数的广义关系，尝试了从理论上给出通解的一般形式和特解的系数决定式。
The thesis analyzes the relationship between Wronsky determinant and linear equation relativity of function in order to get the common solution determinant of linear differential coefficient equation.
当你试图接住一个飞行中的球时，是否会通过解微分方程来确定自己的位置？
Do you position yourself to catch a ball by solving differential equations in your head, on the fly?
现在，如果你计算时间，会很接近终端速度，这并不简单，因为你们要解一个，令人厌恶的微分方程。
Now, if you want to calculate the time that it takes to get close to terminal speed, that is not an easy task, because you are going to end up with a nasty differential equation.
这个例子展示了lsode的用法，这是一个常见的微分方程解算器。
This example demonstrates the use of lsode, an ordinary differential equation solver.
区域分解算法是在并行机上求解偏微分方程数值解的一种方法。
The domain decomposition is a numerically approximating solution to partial differential equations on parallel computers.
本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。
This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.
类似的方法还可以用在其它类型的偏微分方程数值解中。
Similar method may be applied in other types of partial 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。
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.
研究抽象空间微分方程周期解的存在性一直是比较困难的问题。
It is a difficult problem studying the existence of periodic solutions of differential equation in abstract Spaces.
给出了带有双侧共振的非线性微分方程周期解存在性的一个新的结果。
A new result about existence of periodic solutions of nonlinear differential equations with double resonance will be given.
研究了一类非线性滞后型泛函微分方程周期解的存在性问题。
The existence problem for a class of nonlinear retarded functional differential equation is researched.
本文研究了两类具体含逐段常变量微分方程的伪概周期解的存在性问题和一类一阶微分方程组的数值解。
In this paper, the existences of almost periodic solutions and pseudo almost periodic solutions for several classes of functional differential equations are investigated.
用泛函的方法研究一类二阶微分方程周期解的存在性。
We studied a class of two order differential equations by means of the functional method.
给出了一类具有滞量的微分方程解的部分表达式。
This paper states the expressions of solution of some differential equations with delay.
用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。
By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.
用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。
By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.
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