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In this dissertation, we mainly discuss the resonance theorems for families of linear and nonlinear operators, and the theory of bounded linear operator space in F~* spaces.

本文主要研究F~*空间上的线性、非线性算子族的共鸣定理和有界线性算子空间理论。

Let 〓 be two Hilbert spaces over the same field,and let T:〓a bounded linear operator with closed range.

在1.4中,我们在最一般条件假设下,给出了Hilbert空间上线性有界算子及其最小二乘解的误差分析,从而完整地解决了Hilbert空间算子的扰动理论。

The main results show that the class of equations has at least one solution or positive solution provided the "height" of nonlinear tern is appropriate on a bounded set.

主要结论表明只要非线性项在某个有界集上的"高度"是适当的,这类方程至少有1个解或者正解。

By using the integral equation and the Schauder fixed point theorem, through considering the height of nonlinear term on some bounded set, a new existence theorem is established.

利用积分方程和Schauder不动点定理,通过考察非线性项在某些有界集合上的高度建立了一个新的存在定理。

It describes the characteristics of motion to the dynamic system of excavators. The strange attractor gets directly describe and has three importance characters, i. e. chattiness, boundedness and arrangement.

并且从几何上描述了挖掘机动力系统的运动规律,对系统的奇怪吸引子进行了直观刻画,发现其具有三个重要特点:即混乱性、有界性和层次性。

This paper proposes an improved memory-based tabu search algorithm, which is applied as an approach to solve continuous function optimization on closed bounded region.

本文针对有界闭区域上的连续函数全局优化间题,提出了一种改进的禁忌搜索算法,并进行了理论分析和数值实验。

Definition Let D be a bounded closed region in the 巧 1 plane and f a function defined on D.

定义 设 D 是平面的有界闭区域,是定义在 D 上的函数。

The aim of this paper is to study the existence of solution and multiply results for quasilinear elliptic system in bounded domain and the whole space, semilinear elliptic equation in two dimension space, second order nonlinear difference equation by variational methods. The main results are listed in the following:1. An abstract compactness theorem is proved, and then, under weak Boccardo and De.

本文主要利用变分法,分别研究了有界区域和全空间上拟线性椭圆型方程组、二维空间上半线性椭圆型方程和二阶非线性差分方程问题的解与多重解的存在性,具体内容如下: 1。

In the "History of the Roman Breviary" by Batiffol, 15, we read: In proportion as the Church in extending itself had grown colder, there had taken place within its bosom a drawing together of those souls which were possessed of the greatest zeal and fervour. These consisted of men and women, alike, living in the world without severing themselves from the ties and obligations of ordinary life, yet binding themselves by private vow or public profession to live in chastity all their life, to fast all the week, to spend their days in prayer. They were called in Syria Monazonites and Parthenae, ascetics and virgins. They formed, as it were, a third order, a confraternity. In the first half of the fourth century, we find these associations of ascetics and virgins established in all the great Churches of the East, at Alexandria, Jerusalem, Antioch, Edessa.

, 15 ,我们读到:"在比例作为教会在扩大本身增加了寒冷,有发生在其bosom图纸一起,这些灵魂,其中拥有最大的热情和热潮,这些构成的男人和女人,无论是生活在世界上没有切断自己从关系和义务的普通生活,但自己有约束力的由私人或公共的誓言界人士住在贞节所有他们的生活,快速所有的一周内,用他们的天在祈祷中,他们被称为在叙利亚monazonites和parthenae ,修道和处女,他们形成的,因为它被,第三个命令, confraternity ,在上半年的第四个世纪,我们找到这些协会的修道者和处女成立于所有伟大的教堂东,在亚历山大,耶路撒冷,安提阿,伊得撒"。

In this paper we mainly discuss the late extending styles of basic principles such as equicontinuity principle ,uniform boundedness principle ,Banach-Steinhaus theorem and ect., and describe the new characters of these new results in Banach space.

本文主要讨论等度连续原理、一致有界原理及Banach-Steinhaus定理等基本原理的最新推广形式,刻划这些新结果在Banach空间上的新特征。

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