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The definition and stability criterion of resonant operating points in a CPT system have been described. A Poincarémapping model has been built up and its Jacobian matrix has been derived with the implicit function derivative rule and chain rule. Then the stability of the fixed points can be determined according to the eigenvalues of the the Jacobian matrix. It has been used to study an example push-pull CPT system with three resonant operating points.

文中给出了CPT系统中谐振点的定义及判断条件,建立了系统的庞加莱映射模型,并根据隐函数及复合函数求导法则,推导出了系统庞加莱映射周期不动点的雅可比矩阵,根据雅可比矩阵的特征值分布情况,即可判断各不动点的自治振荡稳定性。

A Lipschitz strictly pseudocontractive map from a nonempty closed convex subset of a Hilbert space into itself was showed to have fixed points, Ishikawa and Mann iterative sequences with errors of a Lipschitz strictly pseudocontractive map was introduced and the iteration processes strongly converges to a fixed point was proved.

证明了在Hilbert空间中的非空闭凸集上Lipschitz严格伪压缩映象有不动点,介绍了Lips-chitz严格伪压缩映像下的的具误差的 Ishikawa和Mann迭代序列并证明了其强收敛性于不动点,其结果把非扩张映像推广到Lipschitz严格伪压缩映象上,改进了一些相关结果。

In this paper,we present a new class of second order linear differential equation s with meromorphic coefficients and investigate the problems on the fixed points and hyper order of solutions and their 1st,2nd derivatives.

该文提出了一类新型的亚纯函数系数的二阶线性微分方程,研究了其亚纯解及其一阶和二阶导数的不动点及超级问题,得到了有关复域微分方程亚纯解及其一阶和二阶导数的不动点性质。

In this paper,we present a new class of second order linear differential equations with meromorphic coefficients and investigate the problems on the fixed points and hyper order of solutions and their 1st,2nd derivatives.

该文提出了一类新型的亚纯函数系数的二阶线性微分方程,研究了其亚纯解及其一阶和二阶导数的不动点及超级问题,得到了有关复域微分方程亚纯解及其一阶和二阶导数的不动点性质。

A section theorem, a minimax inequality and a generalized fixed point theorem where the underlying space is a product space of two topological vector space s, are given.

给出了两个拓扑向量空间的乘积空间上截口定理,极小极大不等式及一个推广的不动点定理。指出这3个形式不同的结果与Tychonov不动点定理是相互蕴含的。并且用截口定理直接证明了多值映射的一个重合定理

The levels of monoamine neurotransmitters were determined with spectrofluorophotometer and the content of flavonoids was determined with ultraviolet spectrophotometry.

结果:罗布麻叶乙醇提物对小鼠的不动时间没有显著的影响,而其他4个部位均可不同程度的降低小鼠的不动时间,其中正丁醇部位和水相部位的作用最强。

In chapter 2, by virtue of the properties of partially ordered F-type topological space, we establish some fixed point theorems of increasing mappings in this kind of space. At the same time, we investigate the existence of maximum fixed point and minimum fixed point of increasing mappings on an order interval.

第二章,利用半序F-型拓扑空间的基本性质,建立这类空间上单调增映射的不动点定理,研究其序区间上单调增映射的最大、最小不动点的存在性。

In this project,we primarily investigated the growth of solutions of some types of differential equations,and the hyper order,the exponents of convergence of zeros and fixed points of solutions with infinite order, especially, expononts of convergence of fixed points of first, second order derivatives and differential polynomials of solutions.

中文摘要:在本项目中,重点研究了几种类型的微分方程解的增长性,及无穷级解的超级,零点收敛指数,不动点收敛指数,特别是解的一阶,二阶导数及微分多项式的不动点收敛指数。

With complex analytical analysis for B, the fixed points of B at real axis and C-plane are found. It is proved that zero is the only attract fixed point and the iteration of B on the complex plane is symmetrical. And the domains of the constringency and the divergence of B are given.

通过对B的复解析分析,得出了B在实轴和复平面上不动点的性质与求解方法,证明了0点为唯一的吸引不动点;说明了B在复平面上迭代的对称性,求出了函数迭代在整数点处的敛散区域。

This paper discusses convergence of Ishikawa iteration sequence and existence of fixed points for set-valued nonexpansive mapping in uniformly covex Banach space, and the conditions are shown which guarantee the convergence of the iteration sequence to a fixed point.

讨论了δ集值非扩张映象在一致凸Banach空间中不动点非空的充分必要条件与Ishikawa迭代序列的收敛性及确保迭代程序收敛到不动点的条件,所得结果是单值非扩张映象的推广和发展。

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