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Xin Jiang and Li Li, Several inequalities of complete elliptic integral , Pingyuan Daxue Xuebao (Journal of Pingyuan University ) 16 (1999), no.

姜鑫,李利,几个全椭圆积分不等式,平原大学学报 16 (1999), no。

Let be a compact pseudo-umbilical submanifolds with parallel mean curvature vector in the quasi constant curvature space.

设Mn是拟常曲率空间Nn+p中具有平行平均曲率向量的紧致伪脐子流形,论证得到了这种子流形的两个内蕴积分不等式,从而给出了Mn是全脐子流形的两个内蕴充分条件。

This article use the improved integral inequalities with the deviate variable and some skills of inequalities as well as related knowledge about second-order differential equation,to obtain the following results: the classification of limit point case or limit circle case and boundedness for second order differential or difference equation with deviative variable,discussed the classification for certain n-order differential equations,Criteria for the classification of second order differential equation with deviative variable.

本文利用推广的具有偏差变元的积分不等式,结合不等式的一些技巧以及常微分方程的相关知识对一类二阶具有偏差变元的微分方程及一类二阶差分方程极限圆型的分类问题作了相关的研究工作,并且讨论了一类n阶具有偏差变元的常微分方程解的平方可积性与有界性和一类二阶非线性具有偏差变元的微分方程解的有界性。

Finally this paper showed the application of double chord-power integral inequality from the geometry probability.

最后本文从几何概率上进一步说明了双弦幂积分不等式的应用。

Some sufficient criteria were obtained for oscillation of all solutions of such systems under first boundary value conditions by employing Gauss' divergence theorem, the integral inequalities and some results of the functional differential equations.

研究一类具非线性扩散系数的中立型双曲泛函偏微分方程组的振动性,利用Gauss散度定理、积分不等式和泛函微分方程的某些结果,获得了该类方程组在第一类边值条件下所有解振动的若干充分判据,结论充分表明振动是由时滞量引起的,同时也揭示该类方程组与普通双曲型偏微分方程组质的差异。

Based on the integral inequality and other quality proved,the paper discusses the conclusion of the mid-value in theorem of integration mean which is got in open interval.

在证明了定积分不等式等性质的基础上,给出并证明了积分中值定理的中值在开区间内取得的结论。

To fill this gap, the enhanced Poincaré inequality was obtained by considering the additional conservation law of momentum and by rigorous estimate of integral inequality.

为解决这个差异,利用周期带域上的Eady模型的动量守衡的性质,通过变分方法和积分的精细估计,建立一个加强的Poincairé积分不等式,从而证明了Eady模型的线性稳定意味着非线性稳定。

The major contributions of this dissertation are as follows:(1) Based on integral inequality, an LMI approach to the robust stability, robust stabilization and robust H_∞control of uncertain continuous-time and discrete-time linear singular systems with time-varying delay is developed.

论文主要工作有以下几个方面:(1)针对一类具有范数有界不确定的线性奇异时变时滞系统,基于积分不等式或有限和不等式,分别讨论连续和离散情形下的鲁棒稳定、鲁棒可镇定问题和鲁棒H_∞控制问题。

First, a new integral inequality for quadratic terms is established by using the Park inequality. Next, the integral inequality in combination with the Lyapunov-Krasovskii functional method is used to derive a new delay dependent sufficient condition based on LMI which can guarantee that the closed-loop system is not only internal asymptotically stable but also with the prescribed H-infinity performance via the slow subsystem's memoryless state feedback.

首先利用Park不等式建立了一个基於二次型项的积分不等式,然后利用Lyapunov-Krasovskii泛函方法,获得了系统经慢子系统的无记忆状态反馈后不仅内部稳定,而且具有给定的H性能的,基於LMI的时滞相关充分条件。

In this paper, we establish some new nonlinear integral inequalities with delay and present an application to estimate the boundness of solutions of certain nonlinear integral equations.

建立了两类非线性时滞积分不等式,并给出其在非线性时滞积分方程中的应用。

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