一类非线性分数阶微分方程边值问题解的存在性

利用Schauder不动点定理给出下面非线性分数阶微分方程边值问题D0α+u(t)=f(t,u(t)),0相似文献   

一类分数阶微分方程边值问题解的存在性

为考察一类α∈(3,4]阶微分方程边值问题{Dα0+u(t)+f(t,u(t),u′(t))=0 u(0)=0,u′(0)=0 u″(1)=0,u(1)=g(u(1)) 解的存在性问题,运用Schauder不动点定理,得到了该问题一个解的存在性结果.     

非线性分数阶微分方程边值问题解的存在性和唯一性

主要研究了非线性分数阶微分方程边值问题{D_0~α+u(t)=λf(t,u(t),D_0~β+u(t)),0t1;u(0)=u′(0)=u(1)=0解的存在性和唯一性.其中:0λ1,2α≤3,0β≤α-1,f∈C([0,1]×R~2,R),D_0~α+与D_0~β+是标准的Riemann-Liouville微分.利用Schauder不动点定理给出了解的存在性,利用Banach压缩映像原理得到了解的唯一性.     

三阶无穷多点边值问题正解的存在性

本文研究了如下三阶微分方程的无穷多点边值问题{u'+λa(t)f(u)=0,t∈(0,1),u(0)=βu′(0),u(1)=∑∞i=α1u(ξi),u′(1)=0正解的存在性,其中参数λ0,ξi∈(0,1),αi∈(0,∞],且满足∑∞αi i=1 1,0∞∑αiξi(2-ξi)1.a(t)∈C([0,1],[0,∞)),f∈C([0,∞),[0,∞)),运用锥拉伸与压缩不动点定理,在f满足超线性和次线性的情况下,本文不仅得到了该边值问题正解的存在性,同时还得到了使得问题有解的特征值λ的取值范围.     

一类非线性二阶常微分方程周期问题正解的存在性

本文研究了非线性二阶常微分方程周期边值问题{-u″+μ2 u=λg(t)f(u),0t2π,u(0)=u(2π),u′(0)=u′(2π)正解的存在性,其中μ0为常数,λ是一个正参数,g:[0,2π]→[0,∞),f:[0,α)→[0,∞)为连续函数,α0为常数.主要结果的证明基于锥拉伸与压缩不动点定理.     

非线性四阶两点边值问题解的存在性

讨论含有两个参数的非线性常微分方程四阶两点边值问题u′′′′(t)+λ(αu(t)-βu″(t))+g(t,u′(t),u″(t))=h(t),t∈(0,1);u(0)=u(1)=u″(0)=u″(1)=0解的存在性,这里λ∈R,g:[0,1]×R2→R为连续函数,h∈L1(0,1),参数α,β满足条件(C1)(α,β)∈(0,+∞)×(0,+∞).     

一类两点边值问题正解的三解定理

证明了一个新的锥上不动点定理,并利用此定理研究了两点边值问题1/(p(t))[p(t)u′(t)]′ g(t)f(u(t))=0,λ1u(α) λ2u′(α)=0,u(β)=B,α相似文献   

一类不定权弹性梁方程的正解

用Leray-Schauder不动点定理,讨论两端简单支撑弹性梁方程{u'+βu″-αu=λa(t)f(u),00.     

分数阶微分方程边值问题正解的存在性

利用不动点指数理论,在相应线性算子的第一特征值的条件下,对下面的分数阶微分方程建立了正解的存在性定理Dα0+u(t)+f(t,u(t))=0,0相似文献   

一类四阶三点奇异边值问题的正解存在性

利用Leray-Schauder不动点定理研究四阶三点奇异边值问题u(4)(t)-λp(t)f(t,u(t))=0(00,13≤η<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     

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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