四阶奇异微分方程边值问题三个正解的存在性

利用Leggett-Williams不动点定理研究了四阶奇异微分方程边值问题(p(t)u″′(t))′=g(t)f(t,u(t),u″(t),u″(t)),0＜t＜1,u(0)=u(1)=0,au″(0)-b limt→0 p(t)u″(t)=0,cu″(1)-d limt→1- p(t)u″′(t)=0三个正解的存在性,所得结果推广了相关的已知结果.     

半正二阶三点边值问题正解的存在性

运用锥上的拉伸与压缩不动点定理证明了半正二阶三点边值问题u″(t) λf(t,u(t))=0,0＜t＜1,u(0)=αu(η),u(1)=βu(η)至少一个正解的存在性.     

一类奇异三点边值问题连续正解的存在性

借助Green函数,利用上下解方法和Schauder不动点定理,建立一类奇异二阶三点边值问题{u″(t)+f(t,u)=0,0＜t＜1/u(0)=0,u(1)-au(η)=0连续正解存在性的判别方法.     

变系数梁边界反馈控制系统的Y-值解

讨论了末端带有质量，由合力控制的时变系数梁边界反馈控制系统{uu(χ,t) η(t)uχχχχ(χ,t)=0 0＜χ＜1,0≤s≤t≤T,u(0,t)=uχ(0,t)=0, 0≤s≤t≤T,-uχχχ(1,t) muu(1,t)=-aut(1,t) βuχχχt(1,t), 0≤s≤t≤T,uχt(1,t)=-γuχχ(1,t), 0≤s≤t≤T,这里η／(t)是连续函数，0＜η0≤η／(t)≤M，η／(t)∈ V [0,T]．章主要证明系统的Y-值解存在，并且构造出它的Y-值解．     

奇异三阶微分方程三点边值问题的正解

讨论了奇异三阶微分方程三点边值问题{um(t)+a(t)f(u(t))=0,u(0)=u(1)=0,u1(0)=u1(η),0＜η＜1/2的正解存在性.通过与一个线性算子相关的第一特征值的讨论,运用不动点指数定理,得到了正解存在的结论,其中允许h(t)在t=0和t=1处奇异.     

奇异二阶非齐次边值问题的可解性

本文运用Schauder不动点定理讨论了一类带导数项的非齐次二阶边值问题:u" a(t)f(t,u,u')=0,0＜t＜1,u(0)=a＞0,u(1)=b＞0.正解的存在性.其中:f关于u是超线性增长的.     

一类非线性三阶三点边值问题正解的存在性

利用锥拉伸和锥压缩不动点定理讨论了下列非线性三阶三点边值问题:{u"'(t)=a(t)f(t,u(t)) 0＜t＜1其中占δ∈(0,1),η∈[1/2,1是常数,当f满足一定条件时得到u(0)=δu(η),u'(η)=0 "(1)=0其正解的存在性.     

一类非线性分数阶微分方程解的存在唯一性

利用混合单调算子理论给出非线性分数阶微分方程边值问题{Dα0+u(t)=f(t,u(t)),0＜t＜1{u(0)=u(1)=u'(0)=u"(0)=0正解的存在唯一性,其中3＜α≤4是一个实数,并且Dα0+是一个标准的黎曼-刘维尔微分.     

一类奇异三阶微分方程的两点边值问题的正解

考察了三阶两点边值问题um(t)+f(t,u(t))=0,0＜t＜1,u'(0)=u"(0)=u(1)=0的正解,其中非线性项f(t,u)可以在t=0,t=1及u=0处奇异.利用锥压缩与锥拉伸型的Guo-Krasnosel's kii不动点定理证明了正解的存在性与多解性.结论表明正解存在性依赖于非线性项的连续部分在某些...     

一类二阶三点共振边值问题解的存在性

讨论无穷区间上非线性常微分方程二阶三点共振边值问题{u"+f(t,u,u')=O,t∈[O,+∞),u(1)=u(η),lim u'/t→+∞(t)=0,0＜η＜+∞解的存在性,其中函数f:[0,+∞)×R2→R满足S-Carath(e)odary条件,h∈L1(0,1).     

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     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

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