边界条件中带有谱参数且具有k点不连续的Sturm-Liouville问题

Kadakal,Altinisik,Mukhtarov等已对边界条件带有谱参数且分别在一点和两点不连续的Sturm-Liouville问题的特征值和特征函数的渐近式作了研究.在其基础上,先是定义了新内积、讨论了算子的自伴性,然后研究了边界条件中带有谱参数且在k个点不连续的Sturm-Liouville特征问题及其特征值和特征函数的渐近式.     

二阶超线性Sturm-Liouville积分边值问题的非平凡解

文中研究了一类二阶Sturm-Liouville边值问题.利用全连续域上的拓扑度理论及对应线性问题的第一特征值,得到了非平凡解的存在性结果.     

不连续Sturm-Liouville问题自共轭域的一种基于边值空间理论的描述方法

考虑了具有n个不连续点的Sturm-Liouville(S-L)问题,利用边值空间(边界三元组)理论给出了其自共轭域的一种描述方法.     

Sturm—Liouville微分方程的振动解的一个判别准则

本文讨论Sturm-Liouville微分方程(k(t)u')' φ(t)u=0其中t_0≤t< ∞, k(t)∈C~1, φ(t)∈C的振动解的问题.首先,把A. Wintner的结果推广到方程的情况.然后讨论二个Sturm-Liouville微分方程的振动解的问题.最后,证明了几个推论.     

周期边界条件下Sturm-Liouville方程组特征值问题的迹公式

讨论了周期边界条件下Sturm-Liouville方程组特征值问题.首先将特征值的存在性问题化为一个整函数零点的存在性问题,然后借助于一个积分恒等式,采用留数方法,得到了周期边界条件下Sturm-Liouville方程组特征值问题的迹公式.     

边界条件含有特征参数的2×2Sturm-Liouville问题特征值的迹公式

讨论了边界条件含有特征参数的2×2 Sturm-Liouville特征值问题.首先将特征值的存在性问题化为一个整函数零点的存在性问题.然后借助于一个积分恒等式,采用留数方法,得到了边界条件含有特征参数的2×2Sturm-Liouville问题特征值的迹公式.     

一类具有转移条件的Sturm-Liouville问题的特征值(英文)

利用正规取样的方法,计算带有转移条件的不连续Sturm-Liouville算子的特征值.     

一类右端不连续的奇摄动二阶半线性微分方程解的稳定性态（英文）

本文研究了一类右端不连续的反应扩散方程的稳态问题.基于空间对照结构理论,通过求解Sturm-Liouville问题构造了特征值和特征函数的渐近展开式,并给出了该表达式的余项估计以及稳态解稳定的充分性条件.     

Sturm-Liouville边值问题的正解的存在性及单调性

利用Gronwall-Bellman不等式研究了齐次Sturm-Liouville初边值问题的解的上下界,得到了其正解存在且单调递增的一个充分条件.在此基础上结合锥压缩不动点理论和Arzela-Ascoli定理分析了一类非齐次Sturm-Liouville边值问题的正解的存在性及单调性,得到了正解存在并且单调递增的一个充分条件.     

边条件含特征参数的Sturm-Liouville问题的特征值不等式

讨论一类边条件含特征参数的Sturm-Liouville问题的特征值不等式及逆谱问题.利用Weyl-Titchmarsh m-函数的分段单调性,得到边条件线性含特征参数的Sturm-Liouville问题的特征值与经典Sturm-Liouville问题的特征值及一个常数间的交替不等式.同时得到由含特征参数的边条件和Dirichlet边条件确定的两个常微分算子的特征值可唯一确定势函数.     

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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