分布Henstock-Kurzweil积分与Darboux问题

利用不动点定理及分布Henstock Kurzweil积分的性质, 研究Darboux问题最值解的存在性及最值解对广义函数的依赖性, 在广义导数下证明了Darboux问题最大最小解的存在性定理.     

Henstock积分的一个更佳收敛定理

<正> 1. 引言和定义Kurzweil[4] 和Henstock[1] 为Denjoy 积分[9] 独立地下了一个Riemann型定义。这种理论由Henstock 和其他学者所发展,包括新近的Henstock[3] 、Pfeffer[9] 以及Lewis 和Shisha[6] 的一些论文。本文将证明Henstock 积分的一个收敛定理。     

巴拿赫空间中的积分问题

本书是实分析系列丛书的第10卷，主要讨论了近十五年来巴拿赫空间变量函数积分的最新研究成果。基于Riemann求和的Henstock—Kurzweil积分和McShane积分研究是近年来巴拿赫空间积分研究领域中的焦点，该书就是利用泛函分析的方法表述了求和规范积分理论，并从一般性的角度导入不同形式的积分，[第一段]     

模糊直线上模糊数值函数的Henstock积分

为了完善模糊积分理论和解决实际问题的需要,定义了模糊直线上模糊数值函数的Henstoek积分,并利用区间上模糊数值函数的Henstock积分,向量值函数的Henstock积分,以及实值函数的Henstock积分对其进行了刻划;其次,讨论了模糊直线上模糊数值函数导函数的可积性问题,发现了积分的Newton-Leibniz公式;最后通过一具体的例子说明了Henstock积分的广泛性.这些结果均推广了前人的工作.     

一类非自治微分方程解对初值和参数的连续依赖性

利用Kurzweil—Henstock积分，建立了形如x’(t)=f(x，t) h(t)型方程解的存在唯一性定理以及解对初值及参数的连续依赖性定理．     

模糊数值函数列的弱一致可积性与收敛性

引进模糊数值函数列弱一致Henstock可积的概念,得到Henstock可积的模糊数值函数列收敛的充分必要条件是弱一致模糊Henstock可积;这使得一致可积收敛定理、控制收敛定理成为其推论.     

模糊数值函数强Henstock积分的原函数的刻画定理

一个实函数F如果ACG*且F’(x)=f(x)在区间[a,b]上几乎处处成立,则f在[a,b]上Hens-tock可积,且F是f的积分原函数.相反结论也成立.而模糊Henstock积分原函数并不几乎处处可导的,因此在Vitali覆盖意义下讨论模糊强Henstock积分原函数显然是不可取的.把经典实分析理论用于模糊积分理论,利用已有的内部变差概念,给出模糊数值函数强Henstock积分的原函数的完全刻画定理.     

模糊Henstock积分

在计算模糊随机变量的期望时,往往需要计算无穷区间上的模糊积分,而当模糊分布函数具有某种不连续性时,利用现有的模糊积分进行计算将受到限制.基于这种考虑,定义了无穷区间上的模糊Henstock积分.利用模糊数值函数的Henstock可积与其端点函数的一致Henstock可积的等价性,将模糊Henstock积分的隶属函数转化为非线性规划问题,并通过最优化软件求解.     

Banach-值函数Henstock积分的收敛定理

讨论了Banach-值函数Henstock积分的收敛定理,主要证明了Banach-值函数Henstock积分的Vitali收敛定理和控制收敛定理.     

模糊随机过程函数列均方一致Henstock积分的可积性

 引进了模糊随机过程函数列均方一致Henstock可积的概念, 研究了模糊随机过程函数列均方一致Henstock可积的充分必要条件, 得出了模糊随机过程函数列的收敛定理。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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