利用边界层函数法研究了一类非线性三阶微分方程的奇摄动边值问题。
Use the method of boundary layer functions to study the singularly perturbed boundary value problem for a kind of third order nonlinear differential equations.
连铸板坯宽面鼓肚对铸坯中心偏析和裂纹有较大影响，为计算板坯宽面鼓肚，按蠕变规律，需解一个三阶微分方程，按弹塑性规律，需解一个二阶微分方程，十分费时。
In order to compute bulging of wide face of continuous cast slab, it is necessary to solve a third order differental equation for creep or a second order one for elastoplastic deformation.
研究具时滞的三阶非线性微分方程，利用变量替换和不动点方法，得到了此方程有界解和概周期解的存在性及唯一性结果。
This paper deals with the problems on the existence and uniqueness of bounded solutions and almost periodic solution for third order nonlinear differential equations with time lag.
结论的普遍性可以推广到数学力学学科，并给出了这一类三阶非线性微分方程求定性解的一般方法。
The universality of the conclusion can be spread to mathematics and mechanics science also and give a popular method to solving this third-order nonlinear differential equation qualitatively.
本文讨论一类三阶时滞泛函微分方程解的渐近性质，给出了若干解的有界性及解趋于零的判定准则。
Som criteria on the asymptotic behavior (such as boundness, tending to zero) of solutions for a kind of third order delay functional differential equation are established.
研究了三阶非线性脉冲时滞微分方程解的振动性与渐近性，得到了一些充分判据。
The oscillation and asymptotic behaviors of three order nonlinear functional differential equation with impulses are investigated, and some sufficient conditions are obtained.
应用谐波平衡法对系统三阶非线性微分方程组解析分析，与数值解比较验证了解析解的正确性和有效性。
The method of harmonic balance is applied to study the non-linear dynamic response of the third-order nonlinear partial differentiation system.
以三阶非线性操纵运动微分方程为基础导出了系泊系统运动响应的数学模型，得到了静态分岔方程。
A nonlinear three order vessel maneuvering mathematical model was used to establish the motion differential equations of mooring systems subjected to current.
首次提出了采用三阶非线性微分方程组描述新型静止无功发生器的动态过程；
The three-order nonlinear differential equation set which is used to describe dynamic behavior of ASVG is proposed in this paper.
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.
采用微分求积法对方程中的空间变量进行离散，得到仅含有时间变量的三阶周期系数微分方程组。
By the discretization of spatial variable in the equation, a third-order differential system of equations containing periodic time-varying coefficient is derived.
运用Leray - Schauder不动点定理和Luapunov函数，研究了一类三阶非线性微分方程概周期解的存在性。
Solutions for a class of third order nonlinear differential equations are studied by using the Leray Schauder fixed point theorem and the method of Liapunov function.
运用Leray - Schauder不动点定理和Luapunov函数，研究了一类三阶非线性微分方程概周期解的存在性。
Solutions for a class of third order nonlinear differential equations are studied by using the Leray Schauder fixed point theorem and the method of Liapunov function.
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