所用的方法也适用于时超微分不等式及方程。
This method could also be applied in super-differential inequalities and equations.
本文首先建立一个变系数变时滞微分不等式。
This paper establishes a delay differential inequality with varying coefficient and varying delay.
利用微分不等式理论得到了问题解的渐近性态。
And the asymptotic behavior of solution for the problem is obtained by using the theory of differential inequality.
本文从几个命题的证明来阐述微分不等式的应用。
This article by seeking to prove propositions, set forth the application of differential inequality.
同时，所用的方法也适用于时超微分不等式及方程。
At the same time, this method could also be used in advance differential inequalities and equations.
利用微分不等式理论，得到了原初始边值问题解的一致有效的渐近解。
The uniformly valid asymptotic solution to the original initial boundary value problems was obtained by the theory of differential inequalities.
在常微分方程论中，微分不等式是研究方程解的各种属性的有用工具。
Among ordinary differential equation equations, differential inequality is a useful tool which helps research on properties of equation-solving.
本文用微分不等式证明了二阶奇摄动系统解的存在性、唯一性和周期性。
This paper proves the existence, uniqueness and periodic problem of the solution about second order singular perturbation system by using the differential inequality.
主要工具是平均技巧，利用它将问题归结于常微分不等式的振动性研究。
The principal tool is an averaging technique which enables the problem to be solved as one of establishing oscillation in terms of related funtional ordinary differential inequalities.
分别对满足偏微分不等式和在一定匹配条件下的系统讨论无源化控制问题。
Passivation control problem is discussed under Hamilton Jacobi Issacs(HJI) inequality and matching conditions, respectively.
通过建立对比结果，本文获得了Banach空间中的两个二阶微分不等式。
In this paper, two differential inequalities in Banach Spaces are obtained by establishing a comparison result.
基于时滞微分不等式的方法，提出此网络在平衡点的渐近指数稳定的充分条件。
Two-point boundary value problems of second order mixed type integro-differential-difference equation is studied by means of differential inequality theories.
基于时滞微分不等式的方法，提出此网络在平衡点的渐近指数稳定的充分条件。
Two-point boundary value problems of second order Hammerstein type integro-differential-difference equation is studied by means of differential inequality theories.
通过建立泛函微分不等式，研究了一类高阶中立型偏泛函微分方程解的振动性。
By establishing a functional differential inequality, some sufficient conditions are obtained for the oscillation of solutions of certain partial functional differential equations.
适当的条件下，利用微分不等式理论，讨论了原边值问题解的存在性和渐近性态。
Under suitable conditions, using the theory of differential inequalities, the existence and asymptotic behavior of solution for the boundary value problems are studied.
在分析无条件全局指数稳定性时，我们将时滞微分不等式引入到稳定性的研究中。
Global exponential stability theorems are given by using a method based on delay differential inequality.
利用李雅普诺夫函数和微分不等式探讨带扩散Schoner模型的概周期解的稳定性问题。
The almost periodic solution of non-autonomous diffusion Schoner models is discussed through Liapunov function and differential inequalities.
我们利用边界层校正法以及微分不等式理论证明了解的存在定理，并构造出其解的一致有效渐近展开式。
Using the method of boundary layer correction and the differential inequality theory, we prove the existence theorem of solutions and construct the uniformly valid asymptotic expansions of.
然后，运用微分不等式理论，证明了形式渐近解的一致有效性，并得出了解得任意阶的一致有效展开式。
And then, the uniform validity of solution is proved and the uniform valid asymptotic expansions of arbitrary order are obtained by using the theories of differential inequalities.
利用不动点原理及微分不等式理论，我们证明了边值问题解的存在性，并给出了解的一致有效渐近展开式。
Using the fixed point principle and the theory of differential inequality, we prove the existence of the solution and an uniformly valid asymptotic expansions of the solution is given as well.
本文研究非线性时滞大系统的稳定性问题，通过微分不等式分析，建立起一些简洁、实用的稳定性代数充分准则。
In this paper, we study the stability of nonlinear large scale systems with time lag. Some simple stability criterion are obtained.
本文利用M-矩阵理论，应用微分不等式以及拓扑学等有关知识，通过构建向量李雅普诺夫函数，研究了三类时间滞后大系统的指数稳定性以及智能交通系统中车辆纵向跟随控制问题。
The global exponential stability of a class of linear interconnected large scale systems with time delays was analyzed based on M matrix theory and by constructing a vector Lyapunov function.
利用时滞脉冲积分不等式，给出了一类非线性的脉冲时滞微分方程的解有界性的充分条件。
Sufficient conditions for boundedness of solutions of nonlinear delay differential equations with impulses are established by using impulsive integral inequalities with a deviation.
首先列出了描述生长变形体能量平衡的微分方程以及熵不等式；
Firstly, the differential equations for describing the energy equilibrium of growing deformable body and the entropy inequality were discussed briefly.
本文利用切比雪夫积分不等式和微分中值定理，对所谓的双参数拓广平均的单调递增性给出一种简单的证明。
In the article, a simple and elementary proof of monotonicity is given for the so-called extended mean values using Tchebycheff s integral inequality and the mean-value theorem for differential.
本文介绍了用微分法讨论不等式有关证明方法，利用这些方法使不等式的证明变得非常简单。
The paper introduces the methods of proving the inequality with differentiation, which make it easy to prove some inequalities.
本文利用定积分的性质、微分中值定理、施瓦兹不等式、二重积分等内容，研究了积分不等式的四种证法。
This article explores the four ways for solving integral inequality with the nature of definite integral, mean value theorem of differentials, Schwarz inequality and double integral.
本文就高等数学中常见的函数不等式，积分不等式以及微分中值不等式给出了若干种证明方法。
This paper introduces some methods for proving the function inequality, integral inequality and differential middle value inequality which are frequently seen in the higher mathematics.
由一些常见不等式出发，采用微分法及初等方法得到了一组有趣的不等式。
According to some usual inequality, a group of interesting inequality is obtained by adopting differentiation and elementary method.
由一些常见不等式出发，采用微分法及初等方法得到了一组有趣的不等式。
According to some usual inequality, a group of interesting inequality is obtained by adopting differentiation and elementary method.
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