对峙反应动力学过程，其实质是一个求解一阶常微分方程的过程。
Essentially, the opposite reaction kinetics process is a process of resolving the first order ordinary differential equation.
研究一类非线性四阶常微分方程两点边值问题，得到一个存在唯一性定理。
The uniqueness and existence theorem for a nonlinear fourth-order boundary value problem is established.
该方程是关于液缸内液体压力、泵阀升程与泵阀运动速度的一阶常微分方程组。
The new model is a first-order ordinary differential equation group for the fluid pressure in the cylinder...
对于整数阶常微分方程的数值解法，如欧拉法、线性多步法等都已有较完善的理论。
Numerical method of integral order ordinary differential equation, for example, Euler method, linear multiple step method, and so on, has had quite perfect theories.
机翼的运动方程可以写成四维一阶常微分方程，取广义气流速度和线性俯仰刚度作为分岔参数。
The monition equations of airfoil are written as the four dimensional first order differential equations. Taking airspeed and the linear part of pitching stiffness as the bifurcation parameters.
最后给出了一些数值例子，证实了这个分数阶线性多步法是解分数阶常微分方程的一个有效方法。
Finally, some numerical examples are provided to show that the fractional order linear multiple step method for solving the fractional order ordinary differential equation is an effective method.
用孤立不变集和孤立块的概念，给出了含一个参数的二阶常微分方程组的非驻定有界解分支点的存在性准则。
Using concepts of invariable set and isolated cube, we obtained existence for bifurcate points of bounded solutions of second order ordinary differential systems including a parameter.
由CO、co_2加氢合成甲醇的反应是一个复合反应体系，其催化剂颗粒内的浓度分布的表征方程为二阶常微分方程组。
The hydrogenation reaction of co and CO2 to synthesize methanol is a multiple reaction system. The distributions of concentrations are described by second order ordinary differential equations.
利用MATLAB进行一阶常微分方程的计算机辅助教学，探讨用MATLAB进行一阶常微分方程辅助教学的可行性、方便性。
The CAI teaching of a first-order ordinary differential equation is discussed with computer MATLAB software, and its feasibility and convenience is introduced.
使用集总参数非线型模型来分析蒸发管中汽液两相流压力降型脉动，结果表明：压力降型不稳定性可以用二阶常微分方程来描述。
The pressure drop pulsation is analyzed by using a lumped parameter nonlinear model. The results show that the pressure drop type instability can be described by a second-order differential equation.
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。
In this paper, we study an approximate solution of the second-order linear ordinary differential equations with variable coefficients.
本文对几类二阶非线性常微分方程，利用首次积分求得了其通积分公式。
This paper has found general integral formulas of some types of two - order nonlinear ordinary differential equations by first integral.
本文用四维相空间和四阶自洽常微分方程描写了单摆的受迫振动。
The forced vibration of pendulum is described by four-dimensional phase space and the fourth order autonomous ordinary differential equation.
提出一阶非线性常微分方程新的可积型，且给出其通解的参数形式。
Proposed a new form of non-linear first-order ordinary differential equation, meanwhile, it shows the parameter form of universal solution.
本文研究当极限方程有奇性时四阶线性常微分方程的柯西问题解的渐近式。
This paper studies the asymptotic expression of solution of Cauchy's problem for a forth order equation when the limit equation has singularity.
给出了变系数二阶齐次线性常微分方程的一种积分形式解和几类变系数二阶齐线性常微分方程的普遍解。
The solutions of interal form and the general solutions of some second order homogeneous linear differential equations with variable coefficient are given.
本文主要运用锥不动点定理和格林函数研究二阶非线性常微分方程组正解的存在性。
In this paper, we study the existence of positive solutions to second - order nonlinear ordinary differential equations by using fixed point theorem in cones and Green's function.
摘要利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题。
In this paper, by using the fixed point index method, the authors discussed the periodic boundary value problem of first order differential systems.
本文研究串激电机运行中出现的三阶非线性常微分方程的稳定域问题。
This paper approaches with the problem of stable area in ordinary nonlinear third-order differential equations, which appears during the operating process of the series motor.
研究一类二阶线性常微分方程，给出了所述方程分别在几种边界条件下的格林函数和惟一解的表达式。
We give exact expressions of the unique solutions for the linear boundary problems by the Green's functions.
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.
得到了描述球壳内表面运动的二阶非线性常微分方程，并给出了方程的首次积分。
A second_order nonlinear ordinary differential equation that describes the radial motion of the inner surface of the shell was obtained. And the first integral of the equation was then carried out.
本文给出关于二阶非线性常微分方程和时滞微分方程的一些新的振动准则。
This paper discusses the oscillation of second order nonlinear ordinary differential equations and delay differential equations. Some new oscillation criteria for the equations are obtained.
本文给出关于二阶非线性常微分方程和时滞微分方程的一些新的振动准则。
This paper discusses the oscillation of second order nonlinear ordinary differential equations and delay differential equations. Some new oscillation criteria for the equations are obtained.
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