一类高阶p-Laplace型差分方程同宿解的存在性

文章主要研究了一类高阶p-Laplace型差分方程(-1)nΔn[r(k)Φp(Δnu(k-n))]+q(k)Φp(u(k))=f(k,u(k)),k∈Z非平凡同宿解的存在性,其中r(k),q(k)和f(k,u)没有任何周期性假设条件,我们的结果改进了以前的相关结果。一方面将低阶情形差分方程非平凡同宿解的存在性推广到高阶情形;另一方面将p≥2的情形非平凡同宿解的存在性推广到p1情形。     

关于n-阶线性周期微分方程的次正规解

研究了n-阶周期系数齐次线性微分方程f(n)+[Pn-1(ez)+Qn-1(e-z)]f(n+1)+…+[P0(ez)+Q0(e-z)]f=0及其对应的非齐次线性微分方程次正规解的存在性和解的增长性,其中Pj(z),Qj(z)(j=1,…,n-1)为多项式,在假设degP0 > degPj或者degQ0 > degQj的条件下,证明了齐次方程没有非平凡的次正规解,且它的每个非平凡解的超级满足σ2(f)=1.     

一类周期线性微分方程的复振荡

证明了周期方程f(4)+K2f'+K1f'+(ez+K0)f=0具有一个有限零点收敛指数的解的必要条件是 ,且满足某一(k+1)×(k+1)行列式条件,其中k是一个非负整数.其次得到这种解的明显表示.进一步,对于四阶周期方程证明了CHIANGYikman和WANG Shuipei的一个猜想.     

非线性差分方程的全局吸引性

研究了差分方程xn+1-xn+Pnf(x\{n-k\})=0n∈N(1)的渐近性态,得出了方程零解全局吸引的充分条件.定理设f为不减函数,且当x≠0时,|f(x)|＜|x|,∑∞n=0Pn=∞.若∑ni=n-kPi≤β=(3)/(2)+(1)/(2(k+1))n∈N(n0)成立,那么方程(1)的零解是全局吸引的.     

一类带滞量的微分方程解的表达式

讨论了方程anx( n) ( t) +an-1x( n-1) ( t) +… +a0 x( t) +b . x( t-μ) =f ( t)的解的一些表达式 ,其中 f ( t)是 k次多项式 .获得了更一般的结果 .     

一类非线性强度Boussinesq方程的Compacton解和孤立波解

研究一类非线性强度的Boussinesq方程um-1utt-uxx-a(un)xx+b(uk)xxxx=0,用拟设法求出方程的Compacton解(即在有限区间外为0的孤立波解)和周期解以及孤立波解,讨论维数参数满足m=n=k,m=k≠n和m=n≠k下解的结构,并作出它们的图像.另外研究了(2+1)维和(3+1)维方程的解,并推广到(n+1)维方程的解.     

高阶边值问题周期解的存在性

用变分方法研究高阶边值问题(-1)n+1u(2n+2)+∑n/k=1 (-1)kcku(2k)-a(x)u +f(x,u)=0,0相似文献   

关于Diophantine方程x3-1=py2

利用初等数论的方法得到丢番图方程x3-1=py2无正整数解的一个充分条件.设p是奇素数,证明了当p=3(4k+3)(4k+4)+1,其中k是非负整数,则方程x3-1=py2无正整数解.     

关于Diophantine方程x3±8=Dy2

当D为奇素数,且D=3(8k+2)(8k+3)+1,其中k是非负整数,则方程x3+8=Dy2无正整数解;当D为奇素数,且D=3×4k(4k+1)+1,则方程x3-8=Dy2无正整数解.     

一类非线性微分方程的超越整函数解

本文应用亚纯函数的Nevalinna值分布理论,研究一类非线性微分方程fnf(k)+P(z,f,f′,…,f(t))=(P1eα1z)+(P2eα2z)+(P3eα3z)的超越整函数解,得到f(z)1=(b1eα1z/(n+1)),其中b1满足b1n+1=(P1(n+1)k/α1k);对于i=1,2,3,αi在一条线上...     

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.     

Design and analysis of generic LBS application developing platform

Location based services is promising due to its novel working style and contents.A software platform is proposed to provide application programs of typical location based services and support new applications developing efficiently. The analysis shows that this scheme is easy implemented, low cost and adapt to all kinds of mobile nework system.     

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