This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.
本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。
By applying a fixed point theorem, the authors study the existence of positive periodic solutions to a class of differential equations with stated-dependent delay.
运用不动点定理，研究一类具状态依赖时滞的微分方程周期正解的存在性。
With the theory of stochastic differential equation, the authors discuss a problem of a class of risk investment portfolio with stochastic character.
利用随机微分方程理论，对一类具有随机特征的风险投资组合问题进行深入研究。
Finally constrained robust control for a class of nonlinear differential inclusion system is proposed, which is used in vehicle steering control.
在此基础上，提出了汽车转向控制中出现的一类非线性微分包含系统的约束鲁棒控制问题。
The oscillation for solutions of the class of the second order strongly sublinear differential equation are discussed and three new oscillation theorems are obtained.
讨论了一类二阶强次线性微分方程解的振动性质，获得了三个新的振动性定理，推广和改进了相关文献的结果。
The problem of minimum_energy optimal control for multivariable linear systems determined by a class of differential operator matrixes is investigated.
考察由一类微分算子阵描述的多变量线性系统的极小能最优控制问题。
In this paper some oscillation criteria are established for solutions of boundary value problems of a class of partial differential equations with deviating arguments.
本文建立了一类带偏差变元的偏微分方程边值问题解的振动准则。
In the paper, author has studied the inverse problem about a class of quasi-linear partial differential equations of parabolic type by monotone method, proved uniqueness and stability.
本文用单调性方法研究了一个拟线性抛物型方程系教反问题，得到了该反问题的唯一性与稳定性。
We study the oscillation of solutions for a class of even order nonlinear neutral functional differential equations with continuous distributed delay.
研究一类具有连续分布滞量的偶数阶非线性中立型泛函微分方程解的振动性，得到了该类方程的若干新的振动准则。
This paper is concerned with oscillation property of solutions of a class of second-order nonlinear differential equation with perturbation.
研究了一类二阶非线性摄动微分方程解的振动性质。
The forced oscillations of boundary value problems of a class of functional partial differential equations are studied.
通过研究一类高阶泛函偏微分方程边值问题的强迫振动性，建立了边值问题解的振动的充分条件。
Aim To study a class of boundary value problem of hyperbolic partial functional differential equations with continuous deviating arguments.
目的研究一类具有连续偏差变元的双曲偏泛函微分方程边值问题解的振动性。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established. The results generalize and improve some known ones.
讨论了一类二阶强次线性时滞微分方程解的振动性质，建立了三个新的振动性定理。推广和改进了已知的一些结果。
We studied a class of two order differential equations by means of the functional method.
用泛函的方法研究一类二阶微分方程周期解的存在性。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established.
讨论了一类二阶强次线性时滞微分方程解的振动性质，建立了三个新的振动性定理。
The decoupling problem for a class of nonlinear MIMO time-delay systems is studied with differential geometric method.
利用微分几何方法研究了一类非线性多输入多输出时滞系统的解耦问题。
The existence problem for a class of nonlinear retarded functional differential equation is researched.
研究了一类非线性滞后型泛函微分方程周期解的存在性问题。
In this paper, an abstract mixed problem of a class parabolic differential equations is generalized from the dam body temperature during the stratified placement of concrete dam.
本文从混凝土坝分层浇筑坝体温度的实际问题中，抽象出一类抛物偏微分方程组的混合问题，并且证明了其广义解的存在唯一。
A class of singular perturbation of nonlinear boundary value problem for integral differential equation involving two parameters is considered.
考虑了一类关于两个参数的微分积分方程非线性边值问题的奇摄动。
This paper studies a class of singularly perturbed two order integral differential equation boundary value problem with mixed boundary conditions.
研究了一类具有混合边界条件的奇摄动二阶积分微分方程边值问题。
Separable variables are a special class of first order differential equations, which has a wide range of USES in practice.
可分离变量的一阶微分方程是一类特殊的一阶微分方程，它在实际中有着广泛的用途。
The study is made on the oscillation of a class of the first order nonlinear retarded differential equations with variable coefficients, and the sufficient conditions are obtained.
本文研究了一类一阶变系数非线性滞后型微分方程解的振动性，得到这类方程仅有振动解的充分条件。
The existence of periodic solutions for a class of impulsive differential equations with piecewise constant argument is studied by constructing periodic sequence solutions of difference equation.
通过构造差分方程的周期数列解，研究了一类具有分段常数变元的脉冲微分方程周期解的存在性。
According to elastic mechanics theories and fracture mechanics knowledge, the mechanics models for boundary value problem to a class of partial differential equations are presented.
据弹性力学理论、断裂力学知识，给出了该问题的力学模型：一类偏微分方程边值问题。
Aiming at the spread mechanism of a class of epidemic diseases similar to hepatitis b, an ordinary differential dynamical model is established.
针对类似乙肝的一类流行病的传播机制，建立较好的常微分动力模型。
The algorithm for a class of optimal control problem where the state variables are the weak solution of an elliptic partial differential equation is studied.
研究一类最优控制问题的求解方法，其状态变量是某一种椭圆型偏微分方程的弱解。
The existence of positive solution is proved for a class of sublinear fractional differential equations where the nonlinear terms subject to the power functions.
证明了一类非线性项受幂函数控制的次线性分数微分方程的正解存在性。
The paper investigates the solution of a class of linear homogeneous differential equations with varied coefficients and methods of decreasing order of the DE.
探求一类变系数方程的求特解的方法以及对方程的降阶。
The paper investigates the solution of a class of linear homogeneous differential equations with varied coefficients and methods of decreasing order of the DE.
探求一类变系数方程的求特解的方法以及对方程的降阶。
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