一阶线性微分方程

暂态电路的方程由高阶微分方程或一阶线性微分方程组描述，用手工方法求解比较困难。

The equation of transient state circuit is described by higher order differential equation or first order differential equation set .

从一阶线性微分方程结构特点入手，给出了求其通解的常数变易法的数学原理，并简化了积分因子法。

The existence of particular solutions for a class of Riccati equations is studied by means of variation of constants and initial integral methods .

利用满秩矩阵的一些特点，把高阶非线性微分方程转化成一阶线性微分方程组求解，获得了可观测性判据。

Next , a high order non linear differential equation is converted into a set of one order linear differential equations by utilizing some characteristics of the full rank matrix .

本文建立了具有分布时滞的一阶线性微分方程解的振动准则和正解存在的充分条件。

In this paper , the oscillation criteria of solutions of first order linear differential equations with distributed delays and a sufficient condition for the existence of positive solutions are obtained .

首先对连续时间变量用Galerkin变分方法导出对流扩散方程的有限元方程，它是关于时间变量的一阶线性常微分方程，进而求解该方程组，完成求解对流扩散方程的全过程。

By Galerkin 's variation method of continuous time variable , the finite element equation of CDE is derived . It is a system of first-order ordinary differential equations with respect to time variable . Solving this system of equations , we yield whole process of solving CDE .

文章提出了广义灰色GGM（1,1）模型，即变系数一阶线性动态微分方程，给出了两种常用的广义灰色GGM（1,1）模型的建立方法，并在实际应用中取得了很好的效果。

This paper puts forward the generalized grey model GGM ( 1,1 ), namely varying-coefficient first-order linear dynamic differential equation , and gives two methods for establishing the generalized grey model GGM ( 1,1 ), and obtains very good result in practical application .

关于一阶线性常微分方程解法的一个注

A Note on the Solution to a First-order Linear Ordinary Differential Equation

几类特殊形式的一阶线性偏微分方程的局部可解性

On Local Solvability of First Order Linear PDES

一阶线性常微分方程

Linear ordinary differential equation of first order

通过寻求积分因子f1（x），f2（x），求解一类二阶线性微分方程，包括二阶常系数线性微分方程和二阶Euler方程。

By looking for the integral factor f_1 ( x ), f_2 ( x ), we can get the general solution of a kind of second order linear differential equation , including second order linear differential equation with constant coefficients and second order Euler differential equation .

一类四阶线性微分方程的奇摄动问题

Singular Perturbation Problem of a Class of Forth-order Linear Differential Equations

一阶常系数线性微分方程组的另一种向量解法

A New Vector Method of the First Order Linear Differential Equations with Constant Coefficients

一阶拟线性偏微分方程组局部几何解的实现定理

The realization theorems of geometric solutions for systems of Quasilinear first order partial differential equations

一阶拟线性偏微分方程。

Quasilinear First Order PDE 's.

讨论一阶常系数线性微分方程组通解问题，给出一种新的向量解法。

We discuss the first order linear differential equations with constant coefficients and give a new vector method of it .

讨论关于具振动系数的一阶线性脉冲时滞微分方程解的振动性的充分条件。

The sufficient conditions for oscillatory behaviors of the solutions of first order linear delay differential equation with impulses and with oscillating coefficients are considered .

讨论了模糊随机微分方程解的存在唯一性，并给出一阶线性模糊随机微分方程解的表达式。

The existance and uniqueness of the solution of fuzzy random differential equation and a explict representation of solution of one - order linear equation are proved .

根据一阶拟线性偏微分方程组的特征理论，讨论内弹道两相流方程组的类型。

Following the theory on characteristics of first order quasi-linear partial differential equations , classification of the balance equations for two-phase flow in interior ballistics is discussed .

利用高精度迎风格式去解决一阶线性双曲偏微分方程组的混合边值问题，给出了误差估计。

The high-accuracy upwind scheme is used to solve mixed boundary value problem for systems of the first order linear hyperbolic partial differential equations . The optimal order error estimations are given .

本文在广泛的意义下导出了热带气旋瞬时移向所满足的一阶拟线性偏微分方程，并得到了一般解的表达式。

In this paper the first order quasi-linear partial differential equation for instantaneous moving direction of tropical cyclone has been derived in a general sense , and its general solution has been obtained .

求解一阶线性双曲型偏微分方程组的一个差分格式

A Difference Scheme Solving First Order Linear Hyperbolic Partial Differential Equations

一阶线性隐式微分算子方程的近似解

Approximation to the Solution of First Order Linear Implicit Differential-Operational Equations in Hilbert Spaces

分段常数变量一阶线性中立型泛函微分方程解的振动性质

Oscillatory properties of first order linear neutral functional differential equations with piecewise constant arguments

一类三阶线性偏微分方程奇性定解问题的显式解

Explicit Solutions of the Singular Problems for a Linear Partial Differential Equation of Third Order

一类时变一阶线性微分方程组参数辨识的一种方法

A Method of Identifying Parameters in a Kind of Time-varying Linear First-order Differential Equation System

再论一类二阶拟线性微分方程边值问题的跳跃层

Further study on a class of jump layers of boundary value problems in quasilinear differential equations

电弧螺旋不稳定性研究中一类二阶线性常微分方程的解法

Investigation of helical instability of arcs methods to solve a class of second order linear differential equations

一类二阶线性偏微分方程的定解问题

A Class of Problem for Determining Solution of Second-order Linear Partial Differential Equations of the Solution of the Problem

巧妙地利用高阶导数，给出了求一阶非齐次线性微分方程的特解的新方法。

New method of extracting the particular solution nonhomogeneous linear differential equation of the first order is obtained with higher order derivative .

讨论了一类奇数阶线性脉冲微分方程解的振动性，通过给出一些比较简单的限制条件，得到该方程振动和非振动的结论。

Oscillations of solutions for odd-order linear differential equation with impulses are considered and oscillations and non-oscillations of solutions are obtained through adding some simple constraints .