复合随机场分布的某些弱收敛定理

研究了ε＞０时：定义在 Ｚ＝［０，∞）~２，取值于Ｄ_ｚ空间的随机场ξ_ε（ｔ）和随机矢量ｖ_ε∈Ｚ的性质，证明了当ε０时复合随机场ξ_ε（ｖ_ε）分布的弱收敛性．     

对角化技巧在线性状态调节器问题中的应用

利用对角化技巧研究最优控制问题中奇摄动的线性状态调节器问题。在适当的条件下，证得摄动问题在０≤ｔ≤１中有解（ξ（ｔ，ε），η（ｔ，ε）），且对于０＜ｔ＜１和当ε→０时，这个解趋于退化问题的最初的２ｍ个方程的解（ξ（ｔ），η（ｔ））。     

一致拓扑中广义更新变量的某些弱收敛性

讨论了一致拓扑ｕ中更新随机场序列ξｎ（ｔ）（ｔ）∈ｚ，ｎ≥０与其增量γ（ｔ）之间关系，得出随机变量ξｎ（ｔ１Ｔ１ｎ，ｔ２Ｔ２ｎ）／Ｗｎ弱收敛于γ（ｖ（ｔ））ｎ→∞时的条件。     

单调地次连续半紧1—集压缩映象的耦合不动点定理

在半序Ｂａｎａｃｈ空间获得了单调地次连续半紧１集压缩映象的耦合不动点定理．定理设（Ｘ，Ｐ）的半序区间［ｕ０，ｖ０］非空，Ａ：［ｕ０，ｖ０］×［ｕ０，ｖ０］→（Ｘ，Ｐ）是混合单调半紧１集压缩算子，且满足ｉ）Ａ［ｕ０，ｖ０］×［ｕ０，ｖ０］有界；ｉ）ｕ０≤Ａ（ｕ０，ｖ０），Ａ（ｖ０，ｕ０）≤ｖ０；ｉｉ）Ａ在ｘ和在ｙ单调地次连续．则Ａ有极大极小耦合不动点（ｘ，ｙ）∈［ｕ０，ｖ０］×［ｕ０，ｖ０］，且ｘ＝ｌｉｍｎ→∞ｌｉｍｍ→∞ｕ（ｍ）ｎｙ＝ｌｉｍｎ→∞ｌｉｍｍ→∞ｖ（ｍ）ｎ     

二维渗流临界状态连接函数的幂估计

本文对二维边渗流模型给出了临界状态时连接函数τＰｃ（ｏ，ｖ）的幂估计，即存在常数ａ＞０，Ｃ１＞０，Ｃ２＞０使得Ｃ１｜ｖ｜＾－１≤τｐｃ（ｏ，ｖ）≤Ｃ２｜Ｖ｜＾－ａ，这里ｏ＝（０，０），ｖ＝（ｖ１，ｖ２）∈Ｚ＾２，｜ｖ｜＝｜ｖ１｜＋｜ｖ２｜．     

定常奇异摄动系统的概周期解

本文考虑定常的奇异摄动系统（１．１）ｄｘ／ｄｔ＝ｆ（ｘ，ｙ，ε），εｄｙ／ｄｔ＝ｇ（ｘ，ｙ，ε）及其退化 系统（１．２）ｄｘ／ｄｔ＝ｆ（ｘ，ｙ，０），０＝ｇ（ｘ，ｙ，０）．假设系统（１．２）有一个非常数的概周期解（１．３） ｘ＝ｕ（ｔ），ｕ＝Ｖ（ｔ）．当系统（１．２）关于（１．３）的第一变分方程系恰具有一个广义零特征指 数时，我们在适当的条件下证明了对充分小的ε，系统（１．１）有唯一的概周期解ｘ＝ｘ（ｔ，ε）， ｙ＝ｙ（ｔ，ε）使得当ε→ｏ时，对一切ｔ有｜｜ｘ（ｔ，ε）－ｕ（ｔ）｜｜＋｜｜ｙ（ｔ，ε）－ｖ（ｔ）｜｜→０。 在证明中，我们首先推广了法坐标变换，进而建立指数型二分法，然后把问题化为非定常系统的 相应问题，从而利用Ｋ．Ｗ．Ｃｈａｎｇ［５］的结果加以解决．     

一类非线性积分微分方程

证明了非线性积分微分方程之初值问题ｖ‘ｔ＝λｔｆ（ｖ（ｔ）＋∫＾１ｔｇ（ｖ（ｓ））ｄｓ当ｖ（０）＝０时有唯一解，而且这个解在（０，１）内是正的，并且它可以表示为ｖ（ｔ）＝ｔｈ（ｔ），这里ｈ（ｔ）是定义在」０，１「上的连续函数，它在「０，１」上是正的。     

不含K3图的周长

设Ｇ为不含Ｋ３的２连通的非偶图的图。Ｄ（ｕ）｛ｖ｜ｖ∈Ｖ（Ｇ），ｄ（ｕ，ｖ）＝２｝，δ０＝ｍｉｎ｛ｍａｘ（ｄ（ｕ），ｄ（ｖ）｜ｕ，ｖ∈Ｖ（Ｇ）且ｄ（ｕ，ｖ）＝２｝，Ｄ（δ０）＝｛ｕ｜ｕ∈Ｖ（Ｇ）且ｄ（ｕ）≥δ０｝，δ≥δ０时还满；     

关于顶点凝聚度的几个定理

本文研究图Ｇ的顶点、是负点（Ｃ（ｖ）＝Ｋ（Ｇ）－Ｋ（Ｇ－ｖ）＜０， 零点（Ｃ（ｖ）＝０）、正点（Ｃ（ｖ）＞０）的充要条件。     

正态需求模型中参数的估计

假设需求是ξ是随机变量，且服从正态分布Ｎ（μ，σ＾２），销售利润为η＝｛０，ξ≤０（ｑ－ａ）ξ－ｂ，０〈ξ≤ｃｃ（ｐ－ａ）－ｂ，ξ〉ｃ其中ｑ〉０是产品单位价格，ａ≥０是单位可变成本，ｂ≥０是固定成本，ｃ〉０是企业最大生产能力。本文对这种需求模型中参数的估计进行了研究，指出这些参数不存在极大似角法估计，并给出了它们的矩法估计     

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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