积分不等式

The paper first obtains the L2 -apriori estimates for the solutions of two kinds of autocatalytic model s under Dirichlet boundary conditions, and then, using the properties of linear semigroup and delicate calculations, the estimates of the maximal norms are obtained, therefore, the global existence of the solutions is proved.

该文利用重要不等式及能量积分方法首先得到了解的初等的先验估计。然后利用线性半群的有关性质及精细计算得到了解的最大模估计，从而证明了两类三次自催化模型在Dirichlet边界条件下整体解的存在性，并进而证明了第一类模型的最大吸引子的存在性

This paper discusses the upper estimates of weighted eigenvalues for Dirichlet problem of membrane vibration.

考虑膜振动Dirichlet问题的带权特征值上界估计，利用试验函数、分部积分以及不等式估计等方法，建立了用前n个特征值来估计第n+1个特征值的上界估计，其估计系数与区域度量无关。

By studying double-power integral, the geometric invariants and geometric probability can studied from the perspective. In particular, more complicated geometric probability can be resolved with the double-power integral inequality.

通过对双弦幂积分的研究，可以从新的角度更进一步的研究几何不变量和凸几何，特别是双弦幂不等式能解决更为复杂的几何概率问题。

Chapter 1 we introduce the risk process with positive and negative risk sums,show the background of the risk process. Chapter 2 we show the integral and differential equation of birth probability,give the Lundberg inequation that the ruin probability satisfies with martingale approach,then discuss then ruin probability of the risk process with two dependent positive and negative risk sums,study how the dependence impacts on the ruin probability. Chapter 3 we compare the concrete examples by numbers,and makes further comparison between the two results coming out of independency and dependency,with the purpose of narrating their respective impacts on the probability of ruin probability.

本文第一章引入含正、负风险和的风险模型，介绍风险过程的实际背景；第二章给出生存概率Φ所满足的积分-微分方程，利用典型鞅方法给出破产概率Ψ满足的Lundberg不等式，并且讨论两个相关正、负风险和模型的破产概率，研究相关性对破产概率的影响；第三章对具体实例给出数值比较，进一步把相关性和独立性两种情形的结果进行比较，说明对破产概率的影响。

In this paper, we will introduce the weighted modulus of smoothness and the weighted K-functional to discuss the direct and the converse theorems, the local saturation results on the simultaneous approximation on an infinite interval with Jacobi-weight by the integral operator, the lin...

本文利用带权光滑模与带权K--泛函讨论定义在无穷区间上的积分型算子Gamma算子线性组合对空间L_∞(0，∞)中函数的带Jacobi权同时逼近的正逆定理以及局部饱和结果，还讨论了Gamma算子的强逆不等式。

To avoid this, a robustness index is proposed as a replacement for the gain margin. Optimal controller design is the achievable by minimizing a designated error integral criterion for a load disturbance subject to inequality constraints on phase margin and the new robustness index.

因此，本文提出一强韧性指标来取代传统的增益边距，最佳强健控制器即可在相位边距和此指标的不等式限制下，透过将负载扰动产生之特定误差积分最小化来取得。

We study its integral representation , estimate of coefficients,maximum modulus estimates.

本文引入了某族定义在单位圆内的解析函数，研究了它们的积分表示，系数估计，最大模估计及其子族的Fekete－Szego不等式，获得了一些较有关文献更一般的结果。

Which introduces kids and their extension to the primary form of the Riemann integral forms can store and then to be accumulated under the Lebesgue integral form and find the links between these three forms of proof and provement.

其中主要介绍不等式的初等形式及其推广到Riemann可积下的积分形式，然后到Lebesgue可积下的积分形式，并寻找这三种形式之间的联系和证明

Two-point boundary value problems of second order mixed type integro-differential-difference equation is studied by means of differential inequality theories.

利用微分不等式技巧研究了某一类二阶混合型积分微分差分方程的两点边值问题，在上下解存在的条件下，得到了解的存在性和唯一性定理。

through making use of the reciprocal statistical fluctuation and the confirmed experimental data of the mass and charge of bose hadrons,to improve the research of the mass effect of the high order integral calculus connection of hadrons multiple number distribution.

本文通过利用bose强子的倒易统计起伏和质量与电荷证认数据来改进构造多重数分布的高阶积分关联的质量效应的研究，不仅质量效应被明显地揭示出来，而且说明高阶关联的实验数据，积分关联参数、奇斜度、峭度和统计矩是质量效应的理论基础，同时半群对称性的兰道不等式也得到了实验的支持。

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。