有理型差分方程xn+1=βxn+δxn-2/A+Bxn+Cxn-1解的性质

E.Camouzis研究了非线性差分方程xn+1=βxn+δxn-2/A+Bxn+Cxn-1解的大范围性质,得到了一些有趣的结论;并提出了三个开问题(open problem)和两个猜想(Conjecture).用E.Camouzis的方法和分析、图表对上述方程进行进一步研究,得到了方程xn+1=βxn+δxn-2/A+Bxn+Cxn-1及其变式的渐进稳定性和全局吸引性的结论,并用图形进行了验证.     

一类指数分布参数的渐近最优和可容许的经验Bayes估计

在平方损失下,给出了指数族:f(x|β)=T′(x)βexp{-T(x)β}的参数β的渐近最优与可容许的EBi=1log(1 估计,即:nδ(x1,x2,…,xn)=φ(x1,x2,…,xn)(q T(x))n u,其中φ(x,x1,x2,…,xn)=log(1 T(x)q) Sn(x1,x2,…,xn)-v-1,x1,x2,…,xn(历史样本)和x(当前样本)独立同分布于f(x),Sn(x1,x2,…,xn)=n∑T(xi)q),u>0,v>0,q>0(已知)为任意的实数,并给出了证明。     

Banach空间中渐近非扩张映射的迭代序列的强收敛性

研究如下定义的序列的收敛性x0∈C,yn=βnT^nxn (1-βn)xn,xn 1=anT^nyn (1-an)x,n=0,1,2…其中0≤an,βn≤1,T是从Banach空间中闭凸子集到自身的渐近非扩张映射。     

一类非线性时滞差分方程的全局吸引性

研究了非线性时滞差分方程xn+1 =-αxn-kβ±xn　　(α,β>0;xk,x-k+1,…,x0 ∈R;k∈N+;n =0,1,…)解的渐近性质,得到了方程在一定条件下的全局吸引性,推广了相关的已知结果.     

一致L-Lipschitzian非自映象不动点的迭代逼近

本文在实Banach空间中,研究迭代序列xa+1=P[(1-an)xn+an1/n+1∑n+1j=1T(PT)j-1yn]yn=P[(1-βn)xn+βn1/n+1∑n+1j=1T(PT)j-1xn],在对参数适当限制条件下逼近一致L-Lipschitzian非自映象的不动点问题。     

Banach 空间中间意义下的渐近k-严格伪压缩映象 不动点的迭代逼近

设E是实Banach空间,C是E的非空闭凸子集,T:C→C是一致L-Lipschitz的中间意义下的渐近k-严格伪压缩映象且∑∞n=1γn<∞,任取一点x0∈E,{xn}是根据xn+1=(1-αn-βn)xn+αnTnxn+βnun定义的具误差的修改的Mann迭代序列,若F(T)非空有界,在对参数的一些适当限制条件下,得到了{xn}强收敛于T的一个不动点的充要条件是lim infn→∞D (xn,F(T))=0;去掉F(T)有界的条件后对参数进行同样的限制,得到了根据xn+1=(1-αn)xn+αnTnxn定义的修改的Mann迭代序列{xn}强收敛于T的一个不动点的充要条件是lim infn→∞D (xn,F(T))=0。     

Banach空间中关于一致Lipschitzian映象的一个新结果

设E是一实Banach空间,K为E中的一非空闭凸子集,Ti:K→K,i=1,2,3为一致Lipschitzian连续映象.如果序列kn(∩)[1,∞),kn→1,{αn}、{βn}、{δn}∈[0,1],满足:(i)δn→1(n→∞);(ii)∑∞n=0αn=∞,∑∞n=0βn=∞;(iii)∑∞n=0α2n＜∞,∑∞n=0αnβn＜∞;(iv)∑∞n=0αn(kn-1)＜∞,对x0∈K,让{xn}满足以下迭代序列xn+1=(1-αn)xn+αnT n1ynyn=(1-βn)xn+βnT n2znzn=(1-δn)xn+δnT n3xn,如果存在严格增的函数φ:[0,∞)→[0,∞),φ(0)=0,使得对(A)j(x+y)∈J(x+y),x∈K(i=1,2,3)有〈T nix-x*,j(x-x*)〉≤kn||x-x*||-(ψ)(||x-x*||),则{xn}收敛于x*.文章主要结果推广了张石生教授最近文献[1,8]以及文献[6-7]等的主要结果.     

Banach空间中非扩张映射的逼近序列的强收敛性

研究序列{xn}的收敛性，其中x0∈C，yn=βnTxn （1-βn）xn，xn 1=anTyn (1-an)x,n=0,1,2,…这里0αn，βn≤1，C是Banach空间中的闭凸子集，T是从C到自身的映射。     

Banach空间中一对非扩展映像的公共不动点问题

使用新的分析技巧,研究了Banach空间中一对非扩展映像的公共不动点问题,主要证明了由下式定义的迭代{xn}:xn+1=αnxn+(1-αn)(βnTxn+(1-βn)STxn)的弱收敛性,将近期许多相关结果推广到更一般情形.     

隐格式组产生迭代序列逼近Lipschitz映像族公共不动点

设K是Banach空间E中非空闭凸集．{Ti}i-1^N是K中具公共不动点集F=∩i-1^NF（Ti）的Lipschitz映像族,其中F（Ti）=（x∈KiTix=x},{αn}n-1^∞},{βn}n-1^∞包含[0,1]是实数列,且∑n=1∞（1-αn）〈＋∞,（1-αn）L^2〈1,这里L是{Ti}i=1^N的公共Lipschitz系数．对任意x0∈K,{xn}n-1^∞由文中隐格式组（2）和（3）产生,则（i）{xn}在K中收敛;（ii）{xn}收敛于{Ti）i=1^N公共不动点的充分必要条件是lim d（xn,F）=0．对于（2）,如聚βn=0。隐格式组变为xn=αnxn-1＋（1-αn）Tm^2xn,如果βn=1,隐格式组变为Xu与Or1的形式xn=αnxn-1＋（1-αn）Tnxn,对于（3）,如果βn=1,隐格式组变为显格式xn=αnxn-1＋（1-αn）Tnxn-1．对于这三种特殊迭代格式,结论（i）（ii）自然成立．     

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.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

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     

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