查询词典 boundedness

The main work is to give some sufficient conditions for the existence and global exponential stability of periodic solutions for PDNNs model, without assuming the smoothness, monotonicity and boundedness of the activation functions.

这里采用的主要方法仍然是Mawhin的重合度理论和Liapunov泛函的应用，并借助于一些重要的不等式和矩阵代数技术，得到更为一般并且具有很少限制的一些新的充分条件。

In this paper, using Moser Twist Theorem, we obtain the existence of quasi-periodic solutions and the boundedness of solutions for Duffing equations and Liénard equation with some symmetric structure.

本文将利用Moser的扭转定理来研究Duffing方程和具有某种对称性的Liénard方程的拟周期解的存在性以及解的有界性。

In Chapter 4,we obtain the boundedness on the homogeneous Morrey-Herz spaces for the fractional maximal multilinear commutators M_

第四章得到了分数次极大多线性交换子M_

In chapter 3,we investigate the boundedness of multilinear commutators of singular integral operators and fractional integral operators with Lipschitz functions on the Hardy-type spaces.

本章我们得到了和在L~p，Hardy型空间H_~p和Herz型Hardy空间H_q，

Chapter 3 discusses the algebraic and spectral properties of dual Toeplitz operators on the orthogonal complement of the Bergman space, such as boundedness, compactness, spectral properties and so on.

第三章研究了多圆盘Bergman空间的正交补空间L_a~2(D~n~⊥上对偶Toeplitz算子的代数性质，比如：有界性、紧性和谱性质等。

The existence and uniform boundedness of the global solutions of the model for sulphur dioxide oxidation in a tubular reactor with periodic flow reversal are proved by the invariant domain method.

利用不变区域方法，证明了二氧化硫催化氧化管式反应器流向变换强制操作模型整体解的存在性和一致有界性。

A new proof for the boundedness of the quartile operator related to pointwise convergence of Walsh series is given.

给出了有关Walsh级数点态收敛的瓦片算子有界性的一个新证明。

By the above four criteria, it is proved that there does not exist a line parameterization which could satisfy all the four criteria at the same time, and that the line parameterization, formulated as c= ax+y, a∈-a0 ,a0, where a0 is an arbitrary positive number, can not only satisfy the uniqueness, boundedness, and recursiveness criteria, but also achieve the best goodness to the uniformness one.

根据上述四条标准，证明了不存在同时满足这四条标准的直线参数化方式t和直线参数化方式c= ax+y， a∈-a0 ，a0不但满足唯一性、有界性和递归性标准，而且可以获得均匀性标准的最优近似。

In chapter 1, regression models with censored data, LSE for censored regression models and LAD estimation for models with fixed censoring point are introduced. Then, we state our main results for LAD estimator of nonlinear regression models with randomly censored data, including consistency, boundedness in probability and asymptotic normality. The proofs of our main theorems are given in detail. In chapter 2, we state the main difficulty of obtaining numerical solution for censored LAD estimation, and recall the history of studies on this problem including some anterior algorithms.

在第一章，首先介绍删失线性回归模型的基本概念和性质，并对已有的估计方法，如最小二乘估计、固定点删失的最小一乘估计等做了简单的回顾；然后，把固定点删失线性回归模型的最小一乘估计方法推广到了随机删失、非线性模型的情形，并得到了估计量的一些渐近性质，如相合性、渐近正态性等；最后，给出主要结果的详细证明过程。

The research is carried on from four aspects. One is, based on answering the above open problem on a finite dimensional Euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable-parameter three-step iterative algorithms for generalized set-valued variational inclusion problems by using - resolvent operator of set-valued mapping.Two is to consider the convexity, closedness and boundedness of the solution set of general set-valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. Three is to discuss directly the existence of solutions by using analytical methods for set-valued mixed quasi-variational-like inequalities and suggest a class of direct variable-parameter three-stepiterative algorithms for solving generalized set-valued variational inclusions.

研究分有三个方面：一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题，在此基础上利用集值映射的η-预解算子，研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性，并提出了一类变参数三步迭代算法；二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性；三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。