两类domestic bocses

证明了只有一个实箭a的2点bocs,当2个点都是非平凡的,且微分δ(a)=(x-γ)u-w(y-μ)JF,以及当一个点是平凡的,一个点是非平凡的,且微分文δ(a)=(x-λ)2υ时,其表示型是tarne的,表示范畴的生长是domestic的.     

含双参数的非线性二阶脉冲微分系统的正解

研究一类带有双参数的非线性二阶m点脉冲微分系统正解的存在性并讨论正解不存在的情况,其中非线性项可有不同性质,系数a1(t)和a2(t)均Lp可积.通过构造一个特殊的锥,结合不动点指数理论,得到了参数λ和μ在不同条件下正解存在性定理,并在λ很小时得到了正解不存在性定理.     

关于新核的Hilbert型积分不等式的一个推广

通过引入权函数的方法,得到了一个带最佳值c(λ)的Hilbert型积分不等式∫0∫∞0∞xλ+ayrλct+anm(axxy{)xαλ,yλ}f(x)g(y)dxdyc(λ){∫0∞x-1+p(22-λ)fp(x)dx}1/p∫{0∞x-1+q(22-λ)gq(x)dx}1/q及其等价形式.     

二阶Emden-Fowler方程奇异三点边值问题的多个正解

应用锥上不动点定理,给出二阶三点奇异边值问题x″(t) a(t)(xλ1(t) xλ2(t))=0,x(0)=0,x(1)=kx(η),0相似文献   

一类函数的狭义理解与广义理解

同一个函数表达式 y=(x-|x|)(1-x~2)~(1/2),由于狭义理解和广义理解的不同,可产生两个不同的 R—→R 型的函数.我们知道:任一函数都有三个要素,即定义城、对应规律、值域.如果两个函数的三要素之中,至少有一个要素不同,则它们就不是同一个函数.狭义理解的 y=(x-|x|)(1-x~2)~(1/2),其对应规律是实实——实的复合过程,定义域是〔-1,1〕;而广义理解的y=(x-|x|)·(1-x~2)~(1/2),其对应规律是实——复——实的整体运算系统,定义域是〔-1,+∞).由于对应规律和定义域不相同,所以显然产生了两个不同的函数.既然同一表达式,在不同的理解之下,产生了两个不同的函数,所以今后我们如果遇到了这一类型的表达式所表示的函数,就可按两种理解各作一遍.     

一类二阶三点奇异边值问题的多个正解

应用锥上不动点定理,给出了二阶三点奇异边值问题{x"(t) a(t)(xλ1(t) xλ2(t))=0,0＜t＜1,x(0)=0,x(1) kx(η)至少有两个C1[0,1]正解的存在性.这里η∈(0,1)是一个常数,λl∈(0,1),λ2∈(1,∞),a∈C((0,1),[O,∞)).     

Helton类算子的(ω1)性质的稳定性

算子T∈B(H)称作有(ω1)性质,如果σa(T)\σea(T)(∈)00(T),其中σa(T)和σea(T)分别表示算子T的逼近点谱和本性逼近点谱,π00(T)={λ∈iso σ(T):0＜dim N(T-λI)＜∞}.本文研究了Helton类算子的(ω1)性质的稳定性,同时研究了2x2上三角算子矩阵在紧摄动下的(ω1)性质的稳定性.     

一类三阶三点边值问题正解的存在性和不存在性

运用上下解方法及不动点指数理论,在非齐次边界条件下讨论了三阶三点边值问题u″′(t)+a(t)f(u(t))=0,t∈(0,1),u(0)=λ1,u’(0)=λ2,u’(1)-αu’(η)=λ3正解的存在性和不存在性,并且给出了该问题至少存在一个正解,两个正解及无正解时参数(λ1,λ2,λ3)的最优取值范围。其中(λ1,λ2,λ3)∈R3+\{(0,0,0)}为参数,η∈(0,1),α∈0,1[)η为常数,a∈C((0,1),[0,+∞)),f∈C([0,+∞),[0,+∞))。     

两类有限表示型自内射代数Clebsch-Gordan问题的计算

研究两类有限表示型自内射代数,它们的表示范畴可用类似箭图表示范畴中逐点以及逐箭向的方式定义张量积,从而计算相应的Clebsch-Gordan问题.     

Weyl型定理的等价性及其判定方法

研究了Hilbert空间上有界线性算子T的Weyl型定理的判定方法及等价性.根据一致Fredholm指标性质,定义了一种新的谱集2σ(T),通过该谱集和拓扑一致降标集ρτ(T)之间的关系,证明了:算子T满足Browder定理当且仅当ρτ(T)bρ(T)∪1σ(T)∪2σ(T);T满足Weyl定理当且仅当0π0(T)ρτ(T)bρ(T)∪1σ(T)∪2σ(T),其中bρ(T)={λ∈C:T-λI为Browder算子},1σ(T)为本质逼近点谱的一种变化,0π0(T)为谱集中孤立的有限重的特征值的全体;算子T与T*均满足a-Browder定理当且仅当ρτ(T)aρb(T)∪2σ(T)∪intSσF(T)∪{λ∈C:des(T-λI)∞},其中aρb(T)={λ∈C:T-λI为上半Fredholm算子且有有限的升标},SσF(T)和des(T)分别表示算子T的半Fredholm谱以及降标.     

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.     

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     

Journal of Donghua University ( English Edition) Contents of Volume 31

正~~