积分不等式

In Chapter Ⅲ, by considering functions H k that may not have nonpositive partial derivative on s and employing integral averaging technique and Hardy inequality, the oscillation for a class of high order nonlinear differential equations and high order nonlinear damped differential equations is discussed, new oscillation criteria are established.

第二章利用广义Riccati技巧、积分平均技巧以及微分不等式理论，讨论了一类二阶非线性常微分方程的振动性，得到了若干新的振动准则，并讨论了该方程具有强迫项时解的渐近性态。

Chapter 2 discuss firstly the local existence of solutions for a class of abstract functionalintegro-differential equations with unbounded delay by Schauder's fixed point theorem, then byintroducing an inequality condition and applying the continuity property of solutions it obtainsthe global existence of the solutions.

第二章先利用Schauder不动点定理讨论一类具有无限时滞抽象泛函积分微分方程解的局部存在性，然后引入一不等式条件并利用解的延拓性质获得了解的整体存在性

Main results:(1) For the stochastic Volterra type integral equation with singular kernels,it is the first time to be investigated under non-Lipschitz conditions. The existence-uniqueness and Hlder\'s continuity are established.Here,an extended Minkowski\'s inequality plays a key role.

主要结论：(1)关于具有奇异核的随机Volterra型积分方程，我们首次在非Lipschitz条件下进行研究，得到解的存在唯一性和Hlder连续性(此处证明的一个关键步骤应用了推广的Minkowski不等式)。

In the fourth chapter,we discuss theapplication of the atomic decomposition theory to the vector-valued harmonicanalysis.We give the Hardy inequalities in the vector-valued martingale space,we also study the Mikhlin multiplier operator and singular integral operator in thevector-valued Hardy space.

第四章我们主要研究原子分解理论在向量值调和分析中的应用，建立了向量值鞅空间上的Hardy不等式，向量值Hardy空间上的Mikhlin乘子算子及一类奇异积分算子的有界性。

In order to meet the ride comfort of the heavy truck cab when on line-haul, the H2 control algorithm based on the linear matrix inequalities is presented for the active control of a 6 degree-of-freedom half-heavy-truck suspension system model. The road disturbance is integral white-noise stochastic signal.

为了满足长途运输时重型卡车行驶的平顺性要求，利用基于线性矩阵不等式的H2控制算法对驾驶室安装了主动悬置的六自由度1/2重型卡车模型进行振动控制，所采用的路面激励为积分白噪声随机路面激励。

By constructing a new Lyapunov-Krasovskii function, using free-weighting matrix and triple integral approach, a controller design scheme is proposed in terms of linear matrix inequalities.

通过构造新的Lyapunov泛函，引入自由权矩阵和三重积分，以线性矩阵不等式形式给出了控制器的设计方案。

Holds true whenever the diameter of the largest subregion is less than, then A is said to be the triple integral of function over the region ,written

任给， 存在，对的任意一个分法，设小区域为，它们的体积用表示，在每个中任取一点，当小区域的最大直径小于时，不等式成立，则成为在D上的三重积分，记作，或。

Direct and inverse theorems of approximation by this kind of operators are discussed, and the Jackson—type integral estimation of approximation and Steckin — Marchaud inequality of weak type of uniform approximation for these operators are obtained.

讨论了一元Bernstein型算子的逼近正逆定理，建立了该算子逼近的Jackson型积分估计式和一致逼近的弱Steckin-Marchaud型不等式。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。