一类非线性二维奇异积分方程

研究复平面单位圆域内一类非线性二维奇异积分方程的可解性。文中应用泛函分析方法,在某些假设条件下,我们得到了此类非线性方程可解的几个充分条件,同时给出方程的解的表示式。     

二维高阶奇异积分

二维高阶奇异积分高红亚（河北大学电子系，０７１００２，河北保定）文【卫」考虑了奇点位于区域内部的二维高阶奇异积分，现在我们进一步考虑边界奇点情形．设ＧＥＣｓ（０＜ａ＜ｌ）为有界单连域，／（ｚ）６Ｃ（己），ｔ６１一月．以ｔ为中心，充分小的。＞０为半径作...     

高阶奇异积分和推广留数定理的注记

高阶奇异积分和推广留数定理的注记钟寿国（武汉大学武汉市４３００７２）［１］，［２］引进曲线上高阶奇异积分，在有界多连通域，［１］得到推广的留数定理；［３］，［４］分别引进单侧及端点处高阶奇异积分；［４］用共形映照方法得∞点高阶奇异积分及相应无界域中的...     

一类振荡积分算子交换子的加权有界性

利用柯西积分公式和变测度差值定理得到一类由带标准核的振荡奇异积分算子和BMO函数生成的交换子的加权Lp有界性.同时研究了相应高阶交换子的有界性.     

复二元函数高阶奇异积分的Hadamard主值

§1 引言 1957年C.Fox[1]曾经讨论了高阶奇异积分 的Hadamard主值,1977年路见可[2]又以另一形式给予定义。作者[3]中则给出高阶奇异积分在Hadamard主值意义下的微分公式、转换公式、合成公式和反转公式。本文的目的是把这一理论推广到复二元函数,建立复二元函数高阶奇异积分的Hadamard主值、并给出它的微分公式、转换公式、合成公式和反转公式。 现把[1][3]中对本文有关的一些结果摘录于下: 定理1.1 设f(n)(τ)∈H,那未高阶奇异积分　的Hadamard主值存在且满足关系式 定理1.2 设定义在简单光滑曲线的拓朴积Ll×L2上的函数 (τ1,τ2)满足…     

一类奇异积分关于积分曲线摄动的误差估计

当E为复平面上有界连通区域且所有已知函数在E上满足Hlder条件,利用共形映射理论,给出了一类沿单位圆的奇异积分与沿单位圆的摄动曲线的奇异积分之间的误差估计,这些估计将在讨论带根号的Hilbert边值问题关于边界曲线的稳定性时得到应用.     

非整数阶高阶奇异积分的换序公式

在核密度函数有足够高阶导数的连续函数类中,以非整数阶高阶奇异积分和单侧高阶奇异积分的概念为基础,以非整数阶高阶奇异积分的微分公式作工具,运用降阶法和归纳法,给出了非整数阶高阶奇异积分的换序公式。     

板条内分叉裂纹的Ⅲ型应力强度因子

利用复变函数和奇异积分方程方法,求解板条内的分叉裂纹问题。首先给出了反平面弹性情况下,边界（即板条下边界）自由的半平面内单分叉裂纹问题的复势函数。通过用一个长的二分叉裂纹来代替板条上边界,以满足板条的上边界自由,将问题转化为半平面内的多分叉裂纹来处理。根据边界条件建立了以集中位错强度和分布位错密度为未知函数的Cauchy型奇异积分方程,然后,利用半开型积分法则求解该奇异积分方程,得到了各分支尖端的应力强度因子。最后,给出数值算例。     

Cauchy型奇异积分的近似求积和带Cauchy核的奇异积分方程的数值解

Ｃａｕｃｈｙ型奇异积分的近似求积和带Ｃａｕｃｈｙ核的奇异积分方程的数值解李杰权（北京师范大学北京市１００８７５）本文主要以广义复Ｈｅｒｍｉｔｅ插值样条为工具［１］（以下简称复样条），讨论了Ｃａｕｃｈｙ型奇异积分的近似计算方法和带Ｃａｕｃｈｙ核的奇异积...     

多奇点二维高阶奇异积分

给出区域内有多个孤立奇点的二维高阶奇异积分Ｍｎｆ（ｚ）６５两种等价定义，并应用此定义证明了Ｍｎｆ（ｚ）的可微性与边界值性质。并推广了文［１］之结果。     

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

正~~