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The paper consists of four chapters:In chaper 1, we introduce the background and signficance, research and actuality on oscillation of functional partial differential equations; we present research subject in this paper;In chaper 2, we discuss oscillatory property of systems of parabolic differential equations with delays and obtain necessary and sufficient conditions for the oscillation of their solutions; we show the difference between oscillatory property of systems of parabolic differential equations with delays and that of systems of partial differential equtions without delays; we explain the main results with examples;In chapter 3, we discuss oscillatory property of systems of functional parabolic differential equations of neutral type; we obtain some sufficient conditions for the oscillation or full oscillation of their solutions under some conditions; we explain the main results with examples;In chapter 4, we discuss oscillatory property of systems of functional hyperbolic differential equations of neutral type; we obtain sufficient conditions for the oscillation or full oscillation of their solutions under some conditions; we explain the main results with examples.
全文共分四章:第一章简要介绍了泛函偏微分方程的振动的背景和意义、对其研究的简单历史和现状,给出了本文的主要研究对象;第二章讨论了一类时滞抛物方程组解的振动性质,获得了判断其所有解振动的一个易于验证的充要条件;指出了这类具有时滞偏差变元的抛物方程组解的振动性质和不具有时滞偏差变元的抛物方程组解的振动性质的差异;并举例对主要结果进行阐明;第三章讨论了一类中立型抛物方程组解的振动性质,获得了在给定的条件下其所有解振动或全振动的若干充分条件;并举例对主要结果进行阐明;第四章讨论了一类中立型双曲方程组解的振动性质,获得了在给定的条件下其所有解振动或全振动的若干充分条件;并举例对主要结果进行阐明。
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On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we define δ-fine partitions for infinite interval and integral of vector-valued functions on infinite interval, and discuss the properties of integral, and characterize its primitives...
主要包括以下五部分内容:在第一部分中,我们介绍了本文所用到的基本概念和引理;在第二部分中,通过定义无穷区间上δ-精细的分法,我们给出了无穷区间上向量值函数的积分的定义,并讨论其性质,还给出了原函数的刻划;在本文的第三部分中,我们着重讨论了无穷区间上向量值函数积分的收敛定理;在本文的在第四部分中,我们首先应用无穷区间上向量值函数积分的收敛定理给出了常微分方程整体广义解的存在性定理,其次应用强积分对Banach空间常微分方程广义解进行了讨论;最后,在第五部分中,我们将模糊积分推广到无穷区间上并给出了其数值计算方法。
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The dissertation analyzes student\'s resistance behavior and carries on the discussion from two aspects: one is to discusses student\'s subjective initiative, including subjective agency of language and subjective agency of body; the other is to discusses student\'s rebellious modes, including mode of making trouble, mode of critique, mode of adjustment, mode of libertinism, mode of turning hostile, mode of nonce.
这里分析了学校生活中学生的抗拒行为,主要从两个方面进行讨论:一是关于学生的主体能动性讨论,包括言语上的能动性和肢体上的能动性;二是关于学生抗拒形态的分类讨论,包括捣蛋型、批判型、调适型、玩乐型、变脸型、当前型。
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In the second chapter, we deal with the global of systemBy virtue of the abundant results of Lienard equation, integrated with the theory of rotated vector field, we discussed of the number and distribution of limit cycles of the system and obtain its global structure.
第二章讨论了系统的全局结构。利用定性理论中关于Liénard型方程已有的丰富结果及旋转向量场理论讨论了极限环的个数及其相对位置,得到了系统的全局结构。第三章讨论了系统的局部分支。
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The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.
前言从引进广义逆矩阵的定义着手,介绍了它的历史概况以及发展的背景及其意义;第1章从广义逆的发展历程讨论由Moore-Penrose方程确定的各种广义逆的定义;第2章讨论广义逆中的减号逆A 的定义及性质以及在相容线性方程组的应用;第3章讨论广义逆中的最小范数逆A 的定义及计算以及它与相容线性方程组Ax=b的极小范数解。
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The preface gave the definition and introduced history, background of development and significance of generalized inverse matrix. The first chapter, from the development process of generalized inverse, discussed all kinds of definition of generalized inverse determined by the Moore - Penrose equations. The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.
前言从引进广义逆矩阵的定义着手,介绍了它的历史概况以及发展的背景及其意义;第一章从广义逆的发展历程讨论由Moore-Penrose方程确定的各种广义逆的定义;第二章讨论广义逆中的减号逆A 的定义及性质以及在相容线性方程组的应用;第三章讨论广义逆中的最小范数逆A 的定义及计算以及它与相容线性方程组Ax=b的极小范数解。
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Methods The ontology basis of western and Chinese medicine were discussed from the aspect of ontology in the western philosophy,"manifestation" and "implication" of syndromes were studied from eastern philosophy,the surface structure and deep structure of syndromes were analyzed from linguistics,the "question of fact" and "question of normalization" considered in the thinking were expounded from noetic science,and the sequence and non-sequence constituted in the "cluster of symptoms and signs" of syndromes were explored from mathematics.
方法从西方哲学本体论的角度分别讨论中西医学的本体论基础,从东方哲学讨论证候的"象"与"意";从语言学的角度分析证候的表层结构与深层结构;从思维学的角度论述思维所考虑的"事实问题"与"规范问题";从数学的角度讨论构成证候的症状体征串的有序与无序。
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Firstly, we discuss the synchronization of identical coupled systems. Secondly, we discuss the the synchronization of nonidentical coupled systems. Finally, we discuss the synchronization of the coupled systems with external periodic driving.
在这部分首先讨论恒同耦合系统的同步,再讨论非恒同耦合系统的同步,最后讨论了有周期外力驱动时耦合系统的同步。
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And we think whereas the 'Vagina Monologues' took something that's very private, and brought it out to the public sphere, open for public discussion, we took kind of public conception that people have of Muslim women which is the hijab, but then what we really seek to do is delve the deeper, more substantial experience of Muslim women beyond what is on their head or what they wear.
我们认为利用Vigina独白,会涉及一些私人问题,并将这些私人问题拿到公共场合,进行公开讨论。我们对穆斯林妇女的一般性认识就是她们都戴着Hijabi,但是我们应该讨论的是超越穆斯林妇女的头饰,衣饰等更深沉的问题,我们应该讨论的是穆斯林妇女的真实经历。
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First, based on the mathematics model of comprehensive decision at present, the concept of evaluation function is introduced. Based on the thinking stability of decision-maker, the essential meaning of comprehensive decision model is discussed, therefore, and a new improved approach on the comprehensive decision model is put forward. Second, the mathematics model of interval number comprehensive decision is systematically discussed, and the ranking method of interval number based on the decision-maker's attitude is provided. Finally, the concept of valuation order relation is introduced, the valuation order relation of interval number and fuzzy number are systematically discussed in detail, it provides a new method to research the order relations of interval number and fuzzy number, therefore, these achievements can be applied in the intelligent system.
首先,针对常用的综合决策模型,给出了评判函数的概念,讨论了综合决策模型的本质意义,指出决策者的思维应具有稳定性,从而给出了综合决策模型的一种改进方法;第二,在此基础上,给出了区间数的综合决策模型,并详细讨论了基于决策者的决策心态的区间数的排序方法;第三,引入了赋值序关系的概念,详细讨论了区间数和模糊数的赋值序关系,为区间数和模糊数的序关系研究提供了新的思路与方法,这些均有望在智能系统中得到广泛的应用。
- 推荐网络例句
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Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.
在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。
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In fact,I've got him on the satellite mobile right now.
实际上 我们已接通卫星可视电话了
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The enrich the peopling of Deng Xiaoping of century great person thought, it is the main component in system of theory of Deng Xiaoping economy, it is a when our country economy builds basic task important facet.
世纪伟人邓小平的富民思想,是邓小平经济理论体系中的重要组成部分,是我国经济建设根本任务的一个重要方面。