算子的指数

In this paper,the existence of multiple positive solutions for a class of fourth-order p-Laplacian operator singular boundary value problems is discussed by using the fixed point index,and some sufficient conditions are given such that the problem has at least two positive solutions.

利用不动点指数理论研究了一类含 p-Laplace算子的四阶奇异边值问题的多重正解的存在性，给出了至少存在两个正解的条件，改进了不久前其他作者的相关研究。

In the second chapter, the KDV type equation on unbounded domain is considered. Applying with the method of decomposing operator and the theory of constructing some compact operator in weighted space, the existence of exponential attractor is obtained.

在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了无界区域上的KDV型方程，得到了该方程指数吸引子的存在性。

We give strong continuity of an operator connected with fractional power space and obtain existence of optimal controls.

得到了分数指数空间一算子的强连续性和最优控制的存在性定理。

The existence and uniqueness of the solution with the help of the Banach fixed point theorem and the theory of operator semigroups are verified .The global exponential stability of KS equation and the global exponential stability and asymptotical stability of macro KS equation with the given boundary feedbacks are proved .

通过Banach不动点原理和算子半群理论证明了方程解的存在性和唯一性，并证明了KS方程在给定的边界反馈条件下是全局指数稳定的及广义的KS方程在给定的边界反馈条件下是全局指数稳定和渐近稳定的。

Some new methods of computation for random fixed point index of random 1-set-constractive operator.

利用锥理论给出了随机1-集压缩算子的随机不动点指数的一些计算方法。

It is shown that an exponentially bounded integrated bisemigroups can be considered as the integration of a strongly continuous bisemigroup of bounded linear operators in some subspace of a Banach space with stronger norm topology,and also as the restriction of a strongly continuous bisemigroup of bounded linear operators in a bigger space with weaker norm topology.

证明了Banach空间x上的指数有界积分双半群可以作为x的某个子空间上具有较强范数拓扑下的有界线性算子强连续双半群的积分，同时也可作为较大空间上具有较弱范数拓扑下的有界线性算子强连续双半群积分的限制。

We know that asymptotically linear operator equations have negative solutions and sign-changing solutions besides positive solutions, in this chapter, we obtain the existence of this three kind of solutions in Banach space, and we can know the concrete place of these solutions.

第三章的目的就在于借助于不动点指数理论利用一致正条件讨论非线性算子方程变号解的存在性，同时研究了变号解与一对正负解之间的关系，在一定条件下我们证明了：若算子方程x=Ax存在一个变号解，则它的正解和负解必定成对出现。

In Chapter two, Based on analysis some important methods of edge detection, a new detection approach via IIR exponential smoothing filter and nonlinear Laplacian operator is presented, which is suited to stereo vision. In order to implement the method and improve its practical value in application, a fast algorithm with structure recurred filter is developed.

第二章在总结分析了现有边缘检测技术的基础上，以立体视觉为应用背景，有目的的提出了一种基于IIR指数平滑滤波与非线性Laplacian算子的边缘检测方法，为了提高实用性，导出了一组递归滤波器方式的快速实现算法。

Firstly, in the frequency domain, differentiatial operator is decomposed into magnitude and phase operator, and the fractional order expressions of periodical signals, such as sine wave, cosine wave and complex exponent signal, are deduced.

首先，在频域中将微分算子分解为幅度算子和相们算子，导出正弦、余弦和复指数信号的分数阶微分表达式；然后考察矩形、三角形、梯形等常用周期信号的分数阶微分。

In this paper, the one way wave equation operator is decompounded into a phase shift operator and a time shift operator and the correct item with high rank Sy mplectic method when approaching E exponent.

本文将单程波算子分解为相移和时移算子以及对e指数修正项逼近的高阶辛格式。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。