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Are also given by constructing Lyapunov function. Finally, by applying the energy methods, Sobolev embedding theorems and bootstrap arguments, the global existence of nonnegative classical solutions to equations with homogeneous Neumann boundary value condition is proved when the space dimension is at most 5. Under certain conditions for the coefficients of the reaction functions, the convergence of the solutions is established for the system with large diffusion coefficients by constructing Lyapunov function.

的正平衡点全局渐近稳定的充分条件;最后,当空间维数不超过5时,应用能量估计、Sobolev嵌入定理和bootstrap技巧证明在齐次Neumann边值条件下非负古典解的整体存在性,并通过构造Lyapunov函数给出当反应函数的系数满足一定条件、扩散系数较大时该模型解的收敛性

In chapter one,the backgrounds and current situation of operator theory in Banach space are introduced and the preliminaries of Banach space are given.In chapter two,we study the existence and uniqueness of fixed point for decreasing strict-set-contraction operator in product space.Under the weak continuous condition,we obtain the existence and uniqueness of fixed point for decreasing operator and we give an application of these results; In chapter three,we get several positive fixed point theorems of decreasing operator and the existence and uniqueness theorems of positive fixed point for operator C=A+B,C=D-A in real Banach space where the order is decided by a normal cone; In chapter four,we obtained some existence and uniqueness theorems of fixed point for some mixed monotone operators in semi-ordered Banach space.

在第一章中,主要介绍了半序Banach空间非线性算子的研究历史背景、现状以及半序Banach空间中的预备知识;在第二章中,我们利用半序方法研究了Banach乘积空间中严格集压缩减算子不动点存在唯一性问题,在弱连续的条件下,得到了不动点的存在唯一性和迭代收敛性,同时,给出了它们的一些应用;在第三章中,我们建立了拟弱连续减算子的正不动点定理,并证明了算子C=A+B,C=D-A的正不动点存在唯一性定理;在第四章中,我们得到了半序Banach空间中混合单调算子的不动点存在性及唯一性定理。

The results of experiment show that the proposed method, even without any knowledge of diversion probability's prior distribution, has favorable convergence and robustness in finding the optimal solution.

试验结果表明,该方法无需知道转移概率的先验分布,在解空间的全局寻优时具有良好的收敛性和鲁棒性。

And then obtained under some conditions of probability are some sufficient conditions for moment complete convergence for independent non-identically distributed random elements in a separable Banach space which are stochastically bounded by a positive random variable.

文章在随机元序列随机有界于某非负随机变量的条件下,引入慢变化函数l和选定的函数类S,在一定的概率性条件下,得到B值独立不同分布随机元序列矩完全收敛性的充分条件,推广了有关文献的结果。

Based on the limitation and tightness of computational time, it is concluded that the neighborhood of the equation solution is solvable under the condition of open solvable set.

研究了用差分法求解自治的发展方程时稳定性和收敛性这两个基本概念之间的联系,利用计算时间的有限性和紧致性,在可解集为开集的条件下,得出方程解的邻近也可解的结论。

The simulation results demonstrated the algorithm is stable, convergent and fair, and robust with respect to variants of stochastic delay and stochastically accessed users.

仿真证明,算法保证了闭环系统的稳定性、收敛性和公平性,对传输延迟的时变特性和用户的动态变化引起的测量误差具有较好的鲁棒性。

The Lipschitzian property of functions involved is researched. An approach of computing a subgradient of the objective functions of the problems is investigated. The basic idea and steps of the algorithm are discussed. Finally, the convergence analysis is given.

研究了模型构成函数的Lipschitzian性,给出了计算目标函数次梯度的方法,分析了算法思想、步骤,最后讨论了算法的收敛性

In analysis, the global cursory model,the submodel cursory/fine analytic method are adopted to achieve certain accuracy and the convergence.

在分析时采用全域粗糙模型、局部粗糙/精细模型有限元素分析法,使其达到精准性与收敛性

The proper models, such as Chao-Seader model, are chosen to caculate physical properties parameter so that physical properties caculation can be simplified and has good accuracy, tridiagonal matrix method is used to solve process modes. Normalization algorithms is improved.

模型以经典经验公式与操作员经验相结合估算精馏塔效率;选择Chao—Seader模型计算物性参数使物性计算简洁并达到较高精度;应用三对角矩阵泡点法求解过程模型;改进归一算法,提出CMB法与θ法相结合的新型归一算法提高了模型计算的收敛性与快速性。

The motion control problems of uncertain robots is studied in this paper The main work consists of six parts 1 A novel robust outer-loop design method is proposed for the robot manipulators with constructed and unconstructed uncertainty The global convergence of the closed-loop system and the uniformly ultimate boundedness of tracking error when the continuous control law is used are proven The proposed method has better accuracy than the existing method.

本文研究具有不确定性的机器人的运动控制问题,主要工作由六部分组成:一、对具有结构型和非结构型不确定性的机器人提出了一种新的鲁棒外环设计方法,闭环系统的全局收敛性和连续化鲁棒控制器的终结有界性得到了证明,比已有方法有更好的跟踪精度。

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然而,正如其名字所指出的那样,CD盘不能写,也不能用任何方式改变其内容。

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