研究了间断非线性常微分方程奇摄动泛函边值问题。
The singularly perturbed functional boundary value problems for the discontinuous nonlinear ordinary di? Erential equations are considered.
提出一种求解非线性代数方程和非线性常微分方程的新方法。
A new approach for solution of nonlinear algebraic and differential equation sets was presented.
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.
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.
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.
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.
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.
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。
By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.
将求非线性系统输出相关函数的问题，变成解常微分方程的问题。
Thus a problem of solving the output correlation function of nonlinear system is turned into a problem of solving an ordinary differential equation.
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.
本文导出的动力学控制方程是高度非线性的STIFF常微分方程组。
The dynamic equations developed in this paper are a set of highly nonlinear STIFF ordinary differential equations.
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.
将连接与阻尼分配？无源控制方法进行从常微分方程到微分代数方程的拓展，求解一类仿射非线性微分代数系统的调节问题。
The interconnection and damping assignment passivity-based control (IDA-PBC) methodology is extended to solve the regulation problem of affine nonlinear differential algebraic system.
考虑具有介质阻尼及非线性粘弹性本构关系的梁方程，证明了它的有界吸收集和有限维惯性流形的存在性，并由此得到在一定的条件下所给偏微分方程等价于一常微分方程组的初值问题。
The equations of nonlinear viscouselastic beam are considered, The existence of absorbing set and inertial manifolds for the system are obtained, and from which we get that the P D E.
考虑具有介质阻尼及非线性粘弹性本构关系的梁方程，证明了它的有界吸收集和有限维惯性流形的存在性，并由此得到在一定的条件下所给偏微分方程等价于一常微分方程组的初值问题。
The equations of nonlinear viscouselastic beam are considered, The existence of absorbing set and inertial manifolds for the system are obtained, and from which we get that the P D E.
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