该模型的数学形式是一个非线性二阶常微分方程，利用有限差分方法进行求解。
The mathematical expression of this model is a second order non linear ordinary difference equation.
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.
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.
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.
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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