by the quadrature method, an explosive solution for a class of quasilinear ordinary differential equations with boundary conditions are obtained.

通过积分的方法得到了一类带有边值条件的拟线性微分方程爆破解的存在性。

this paper generalizes the maximum principle for a class of second order ordinary differential equations , and obtains two important theorems .

对一类二阶常微分方程最大值原理进行了推广，得到了两个定理。

by the qualitative theorem of ordinary differential equations we analyze the stability of the equilibrium points and discuss the problem of the bifurcation on the plane.

用常微分方程的定性理论分析了系统平衡点的稳定性，并讨论了解平面上的分支问题。

by using this formula, orthogonal polynomial fitting algorithm for initial value problems of ordinary differential equations is established.

利用这一公式建立了常微分方程初值问题的正交多项式拟合算法。

for the small signal, the coupled ordinary differential equations are used, and for the large signal, the raman gain coefficient is modified.

对于大信号，我们对拉曼放大系数进行了修正。

the boundary value problem of ordinary differential equations is an important domain in differential equations.

常微分方程的边值问题是微分方程的一个重要研究领域。

the differential quadrature method(dqm) is applied to truncate the governing equation into a set of two-order ordinary differential equations with respect to time domain.

基于牛顿法推导出了输液曲管模型面内振动的非线性控制方程，利用微分求积法将系统的偏微分方程转化为关于时间域的二阶常微分方程组；

the governing ordinary differential equations of composite stress are given by using shear-lag theory.

通过剪切滞后模型建立了复合材料应力场的控制微分方程。

using a two-layer quasi-geostrophic model with the potential height φ at any specific time expressed as fourier series, the nonlinear ordinary differential equations are obtained.

本文用两层準地转模式，初步考虑海陆的差异，不同尺度波动之间的非线性作用，将场用富氏级数展开，得到一组非线性常微分方程组。

in this paper, we study an approximate solution of the second-order linear ordinary differential equations with variable coefficients .

本文研究了二阶变系数线性常微分方程的一种近似求解方法。

the adjoint variable method for design sensitivity analysis of multibody system dynamics based on ordinary differential equations is presented.

基于常微分方程数学模型建立了多体系统动力学设计灵敏度分析的伴随变量方法。

in the part of introduction in the first chapter, we introduce the development of oscillation theory of ordinary differential equations and functional differential equations briefly.

在第一章绪论部分，一方面我们简单介绍了常微分方程振动理论与泛函微分方程振动理论的起源与发展。

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。

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。

written by an engineer and sharply focused on practical matters, this text explores the application of lie groups to solving ordinary differential equations (odes).

由一位工程师写和明显地集中于实际的事情，这份正文为了解决普通的微分方程（颂歌）探索谎话组的应用。