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1.
一阶中立型时滞微分方程新的振动性判断   总被引:2,自引:0,他引:2  
考虑一阶中立型时滞微分方程d/dt[y(t)+p(t)y(t-τ)]+Q(t)y(t-σ)=0这里p∈C([t0,∞],R),Q∈C([t0,∞],R^+),τ,σ∈R^+文章运用先前的结论得到上面方程所有解振动的充分条件,这些条件改进和推进了已有的结果。  相似文献   

2.
利用双锥上的不动点定理并赋予,和g-定的增长条件,证明了二阶微分方程组多点边值问题{u^n+f(t,u,kv)=0,v^n+g(t,u,v)=0,u(0)=0,u(1)=m-2∑i=1 aiu(ξi),v(0)=o,v(1)=m-2∑i=1 biv(ηi)两组正解的存在性.其中0=ξ0<ξ1<…<ξm-1=0,0=η0<η1<…ηm-2<ηm-1=1,ai≥0,t∈(0,1),且f,g:[0,1]×R^+×R^+→R是连续的.  相似文献   

3.
讨论具有多滞量的一阶中立型微分方程dx/dt[x(t)-^k∑i=t Pi(t)x(t-τi)]+^i∑j=1Qj(t)x(t-σj)=0其中τi,σi∈(0,∞),Pi∈C([t0,∞],R),Qj∈C([t0,∞],R^+),i=1,2,…,k;j=1,2,…,l。给出了上速方程所有的解振动的充分条件,并且推广了单滞量情形的结果。  相似文献   

4.
设f:[0,1]×R^2→R满足Caratheodory条件,(1-t)e(t)∈L^1[0,1],0〈ξ1〈ξ2〈…ξm-2〈1,本文运用Leray-Schauder不动点定理来考虑m点边值问题 x″(t)=f(t,x(t),x(t)),+e(t),t∈(0,1),α0x(0)+α1x(0)=0,x(1)=∑i=1^m-2βix(ξi),C[0,1]∩C^1[0,1)解的存在性。  相似文献   

5.
利用重合度理论,讨论了含有变时滞的一类二阶中立型泛函微分方程:d^2/dt^2[x(t)-kx(t-τ(t))]+∑i=0^m αi(t)f(x(t)),x(t-μi(t)))+∑i=0^m βi(t)g(x(t-γi(t)))=p(t)周期解存在性问题,得到了周期解存在的充分条件.  相似文献   

6.
王慧 《科技资讯》2006,200(34):130-132
高阶微分及差分方程的Lidstone型BVP是一类重要的边值问题以研究低阶微分方程的结果最为丰富,高阶的和差分方程以及多个解存在的结果相对较少。因此本文讨论如下2m阶的高阶差分方程LidstoneBVP的特征值问题:{Δ^2my(t-m)=λf(t,y(t)),t∈[a+1,b+1] Δ^2y(a-m+1)=Δ^2ty(b+m+1-2f)=0 0≤i≤m-1 并假设对每一固定的t∈[a+1,b+1=(-1)”f(t,y)关于y是连续非减的,得出一系列结论。  相似文献   

7.
当丢番图方程ax^2+by^2+cz^2+dxy+exz+fyz=gw^2有整数解x0,y0,z0,ω0(ω0≠0),(x0,y0,z0, ω0)=1时给出它满足(x,y,z,ω)=1,ω≠0的全部整数解的公式:{x=ηx-ξm/t,y=ηy0-ξn/t,z=ηz0-ξp/t,ω=ηω0/t其中η=am^2+bn^2+cp^2+dmn+emp+fnp,ξ=2(ax0m+by0n+cz0p)+d(nx0+my0)+e(px0+mz0)+f(py0+nz0),(m,n,p)=l并利用所得结果证明几个推论.  相似文献   

8.
本文讨论了滞后型方程x‘(t) ∫^bap(t,ξ)X[g(t,ξ)]dσ(ξ)=0,b>a的振动性,改进了文[1]的结果。  相似文献   

9.
本文主要讨论二阶非线性微分方程(r(t)x’(t))’+p(t)f(x(t))g(x’(t))=0得到方程的一些新的振动准则.这些结果改进了Wintner,Hartman,Kamenev,Yan和Philos利用通常的黎卡提变换u(t)=a(t)r(t){x'(t)/x(t)+k(t)),其中k∈C^1是[t0,∞)上的连续函数,和a(s)=exp{-2}k(ξ)dξ}所得的振动准则.  相似文献   

10.
考虑测度链上多时滞中立型泛函微分方程(x(t)-p(t)x(t-τ))Δ+∑mi=1qi(t)fi(x(t-σi))=0,其中p(t),qi(t)∈(Crd)([t0,∞),R+),获得了该方程所有解振动的充分条件.  相似文献   

11.
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.  相似文献   

12.
何延凌 《科技信息》2008,(4):258-258
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.  相似文献   

13.
王慧 《科技信息》2008,(10):240-240
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.  相似文献   

14.
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.  相似文献   

15.
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。  相似文献   

16.
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.  相似文献   

17.
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.  相似文献   

18.
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-  相似文献   

19.
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-  相似文献   

20.
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  相似文献   

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