局部T-凸空间中的不动点定理

在局部T-凸空间框架下,不依赖KKM技巧,建立了两个新的不动点定理. 分别以局部H-凸空间中的Schauder不动点定理和Browder不动点定理为其特例,将Schauder不动点定理和Browder不动点定理推广到T-凸空间.     

不动点定理在微分方程中的应用

文章主要是利用Banach不动点定理来简化了Picard定理的证明,并且利用Leray-Schauder不动点定理说明了不动点定理在微分方程中的应用。     

Banach不动点定理的一个推广

Banach不动点定理(亦称Banach压缩映照原理)是泛函分析中最重要又经典的定理之一,对这一定理的研究颇有意义.本文通过对Banach不动点定理数学本质的研究,适当放宽了不动点定理条件中对压缩映照的要求,将Banach不动点定理作了推广并加以严格的证明,从而放宽了该定理的适用范围.文章最后给予实例来说明应用Banach不动点定理的推广形式可以处理一些在Bnanach不动点定理无法判断情形下的问题,进一步有力地彰显出Banach不动点定理的推广形式其应用的宽泛性.     

一个新的多值压缩映射不动点定理

为进一步发展和完善度量空间中的不动点理论,扩展不动点定理的应用范围,利用Cauchy收敛判别准则给出了一个新的多值压缩映射不动点定理,该结论改进了Nadler不动点定理及最近的某些结果.     

乘积度量空间上满足σ(γ)-压缩条件映射的唯一不动点

通过在[1,∞)3上引入两种实函数类Σ和Γ,在乘积度量空间上给出满足σ(γ)-压缩条件映射的唯一不动点存在性定理,并给出乘积度量空间上的Banach型不动点定理、Kannan型不动点定理、Chatterjea型不动点定理和Ciric型不动点定理及其推广的不动点定理.     

巴拿赫空间中一类非线性二阶微分方程组的边值问题

利用空间中锥理论和不动点定理作为研究工具,由算子的不动点定理推导出了一类非线性二阶微分方程组具有唯一一组解的不动点定理,降低了非线性算子具有不动点的条件,拓宽了研究二阶微分方程组的方法.     

一类收缩映像的不动点定理

证明了度量空间中一类收缩映像的不动点定理，它包含Ｍａｔｋｏｗｓｋｉ不动点定理、Ｂｏｙｄ－Ｗｏｎｇ不动点定理及Ｄｕｇｕｎｄｊｉ－Ｇｒａｎａｓ不动点定理     

概率度量空间中Caristi型公共Fuaay混合不动点

由于ｆｕｚｚｙ系统工程等ｆｕｚｚｙ性理论的需要,提出ｆｕｚｚｙ映象,并研究ｆｕｚｚｙ映象的不动点理论,Ｃａｒｉｓｔｉ不动点定理不要映象具有连续性,它能应用中于许多领域,该文在概率度量空间中提出了Ｃａｒｉｓｔｉ型ｆｕｚｚｙ混合不动点的概念,得到一个ｆｕｚｚｙ混合不动点定理和一个公共ｆｕｚｚｙ混合不动点定理,这些定理不仅推广和是了Ｃａｒｉｓｔｉ不动点定理本身以及近期的一些重要结果,而且还能在系统工程中     

几类Fuzzy映象的不动点定理

该文在拓扑线性空间中研究了几类ｆｕｚｚｙ映象的不动点定理，用凸ｆｕｚｚｙ映象推广了Ｂｒｏｗｄｅｒ不动点定理和Ｅ．Ｔａｒａｆｄａｒ不动点定理，用闭ｆｕｚｚｙ映象推广了ＫｙＦａｎ不动点定理并改进了张石生的结果，用Ｆ－连续的ｆｕｚｚｙ映象推广了Ｔｙｃｈｏｎｏｆｆ不动点定理。该文所获得的定理是近期相关重要结果的改进和推广，这些定理在ｆｕｚｚｙ非线性分析中能找到应用。     

不动点定理与L-空间

关于非线性映射的不动点问题已有许多作者进行研究.本文是文[7]、[8]、[9]的继续.首先,叙述压缩型映射的不动点定理;其次推广[1]中定理1.2为本文的定理3.最后探讨了膨胀型映射的不动点定理与L-空间中一个不动点定理.主要结果是定理3、定理4.     

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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