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1.
应用Schauder不动点定理,证明了问题1/A(t)(A(t)u'(t))'-p(t)f(u(t))=0,u(t)〉0,t〉0,t→0^+limA(t)u'(t)=0,u(0)=α〉0,在[0,∞)上整体解的存在性,其中A,P和f都是非负函数并满足适当的条件.进而,当A(t)在[0,∞)上单调递增时,应用Banach压缩映象原理。对同一问题证明了整体解的存在唯一性.此外,还给出了关于解的唯一性的另一种证明方法.  相似文献   

2.
研究了下列带有变指标反应项的半线性抛物方程{ut=Δu+∫Ωup(x)dx,(x,t)+ku∈Ω×(0,T),u(x,0)=u0(x),x∈Ω,u(x,t)=0,(x,t)∈Ω×(0,T)解的爆破现象,证明了方程解的爆破性和整体存在性.  相似文献   

3.
讨论非线性脉冲发展方程非局部问题{u'(t)+Au(t)=f(t,u(t),Gu(t)),t∈[0,T],t≠tk,Δu|t=tk=Ik(u(tk)),k=1,2,…,m,0〈t1〈t2〈…〈tm〈T,u(0)+g(u)=u{0的mild解的存在性。在-A生成紧解析半群的情形下,分别利用Schaucer不动点定理、Sadovskii不动点定理及Banach压缩映射原理在α-范数下获得了若干该问题mild解的存在性定理。  相似文献   

4.
文章在空间L^2(R^n)中考虑半线性奇异双曲方程组的哥西问题(S){t^бdu\dt Au-t^ρBu=f(t,u)0≤t≤T lim u(t)t→0^ =在算子A、B及函f(t,λ)的某此假设下,证明了问题(S)在函数C^0([0,T],L^2(R^n))∩C^1((0,T),L^2(R^n)中整体解存在。  相似文献   

5.
研究了阻尼振动问题{ü(t)+g(t)u(t)=△F(t,u(t)),a.e.t∈[0,T]; u(0)-u(T)=u(0)-u(T)=0其中,T>0,g(t)∈L^∞(0,T,R),G(t)=∫^tog(s)ds,G(T)=0,F;[0,T]×R^N→R,给出了其变分原理和2个周期解的存在性定理,即使在g(t)=0特殊情况下,所得结果也是新的。  相似文献   

6.
研究在边界退化的奇异扩散方程u/t=div(dα︱▽u︱p-2▽u),(x,t)∈QT=Ω×(0,T),其中ΩRN是一个边界适当光滑的有界区域,p〉1,α〉0,d(x)=dist(x,Ω).在假设解的唯一性成立的前提下,证明了这种热传导问题的弱解具有与一般热传导问题的弱解相似的正则性.  相似文献   

7.
本文证明了Schrodinger型方程u=(k+iβ)Δu-|u|u-λu-g,u(x,0)=u0。其中u=u(x,t),g=g(x),k>0,ρ>0,λ>0,x∈Rn在加权Sobelev空间中强和弱吸引子的存在性,并对强吸引子的分形维数也给出了估计。  相似文献   

8.
研究了一维非齐次方程BBM方程u1-uxx1-(u^11)x-g(x)-f(u)+uxx,ux(0,t):0,u(1,t)=0;u(x,0)=u0(x)的初边值问题,利用Sobolev插值不等式,对解做关于时间t的一致性先验估计,证明了该问题的整体吸引子的存在性.  相似文献   

9.
本文主要讨论了一个满足Dirichlet边界条件的二阶p-Laplacian差分方程正解的存在性.通过利用Leggett—Williams不动点定理的一个推广证明了差分方程△(Фp(△u(t-1)))+1(t)f(t,u(t))=0,t∈N[1,T]={1,2,…,T}在Dirichlet边界条件u(0)=u(T+1)=0下,当f(t,u)满足一定条件时,至少存在三个正解,这里,Фp(s)=|s|p-2·s是一个p-Laplacian算子.  相似文献   

10.
通过周期边值问题序列的方法,证明了如下非线性波动方程{uu-uxx-uxxu=f(u)xx,x∈R,t〉0,u(x,0)=u0(x),ut(x,0)=u1(x),x∈R的Cauchy问题整体广义解和整体古典解的存在性和惟一性,并利用凸性引理给出这个问题解爆破的充分条件.  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.
The discovery of the prolific Ordovician Red River reservoirs in 1995 in southeastern Saskatchewan was the catalyst for extensive exploration activity which resulted in the discovery of more than 15 new Red River pools. The best yields of Red River production to date have been from dolomite reservoirs. Understanding the processes of dolomitization is, therefore, crucial for the prediction of the connectivity, spatial distribution and heterogeneity of dolomite reservoirs.The Red River reservoirs in the Midale area consist of 3~4 thin dolomitized zones, with a total thickness of about 20 m, which occur at the top of the Yeoman Formation. Two types of replacement dolomite were recognized in the Red River reservoir: dolomitized burrow infills and dolomitized host matrix. The spatial distribution of dolomite suggests that burrowing organisms played an important role in facilitating the fluid flow in the backfilled sediments. This resulted in penecontemporaneous dolomitization of burrow infills by normal seawater. The dolomite in the host matrix is interpreted as having occurred at shallow burial by evaporitic seawater during precipitation of Lake Almar anhydrite that immediately overlies the Yeoman Formation. However, the low δ18O values of dolomited burrow infills (-5.9‰~ -7.8‰, PDB) and matrix dolomites (-6.6‰~ -8.1‰, avg. -7.4‰ PDB) compared to the estimated values for the late Ordovician marine dolomite could be attributed to modification and alteration of dolomite at higher temperatures during deeper burial, which could also be responsible for its 87Sr/86Sr ratios (0.7084~0.7088) that are higher than suggested for the late Ordovician seawaters (0.7078~0.7080). The trace amounts of saddle dolomite cement in the Red River carbonates are probably related to "cannibalization" of earlier replacement dolomite during the chemical compaction.  相似文献   

13.
AcomputergeneratorforrandomlylayeredstructuresYUJia shun1,2,HEZhen hua2(1.TheInstituteofGeologicalandNuclearSciences,NewZealand;2.StateKeyLaboratoryofOilandGasReservoirGeologyandExploitation,ChengduUniversityofTechnology,China)Abstract:Analgorithmisintrod…  相似文献   

14.
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   

15.
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   

16.
本文叙述了对海南岛及其毗邻大陆边缘白垩纪到第四纪地层岩石进行古地磁研究的全部工作过程。通过分析岩石中剩余磁矢量的磁偏角及磁倾角的变化,提出海南岛白垩纪以来经历的构造演化模式如下:早期伴随顺时针旋转而向南迁移,后期伴随逆时针转动并向北运移。联系该地区及邻区的地质、地球物理资料,对海南岛上述的构造地体运动提出以下认识:北部湾内早期有一拉张作用,主要是该作用使湾内地壳显著伸长减薄,形成北部湾盆地。从而导致了海南岛的早期构造运动,而海南岛后期的构造运动则主要是受南海海底扩张的影响。海南地体运动规律的阐明对于了解北部湾油气盆地的形成演化有重要的理论和实际意义。  相似文献   

17.
There are numerous geometric objects stored in the spatial databases. An importance function in a spatial database is that users can browse the geometric objects as a map efficiently. Thus the spatial database should display the geometric objects users concern about swiftly onto the display window. This process includes two operations:retrieve data from database and then draw them onto screen. Accordingly, to improve the efficiency, we should try to reduce time of both retrieving object and displaying them. The former can be achieved with the aid of spatial index such as R-tree, the latter require to simplify the objects. Simplification means that objects are shown with sufficient but not with unnecessary detail which depend on the scale of browse. So the major problem is how to retrieve data at different detail level efficiently. This paper introduces the implementation of a multi-scale index in the spatial database SISP (Spatial Information Shared Platform) which is generalized from R-tree. The difference between the generalization and the R-tree lies on two facets: One is that every node and geometric object in the generalization is assigned with a importance value which denote the importance of them, and every vertex in the objects are assigned with a importance value,too. The importance value can be use to decide which data should be retrieve from disk in a query. The other difference is that geometric objects in the generalization are divided into one or more sub-blocks, and vertexes are total ordered by their importance value. With the help of the generalized R-tree, one can easily retrieve data at different detail levels.Some experiments are performed on real-life data to evaluate the performance of solutions that separately use normal spatial index and multi-scale spatial index. The results show that the solution using multi-scale index in SISP is satisfying.  相似文献   

18.
19.
The elongation method,originally proposed by Imamura was further developed for many years in our group.As a method towards O(N)with high efficiency and high accuracy for any dimensional systems.This treatment designed for one-dimensional(ID)polymers is now available for three-dimensional(3D)systems,but geometry optimization is now possible only for 1D-systems.As an approach toward post-Hartree-Fock,it was also extended to  相似文献   

20.
Various applications relevant to the exciton dynamics,such as the organic solar cell,the large-area organic light-emitting diodes and the thermoelectricity,are operating under temperature gradient.The potential abnormal behavior of the exicton dynamics driven by the temperature difference may affect the efficiency and performance of the corresponding devices.In the above situations,the exciton dynamics under temperature difference is mixed with  相似文献   

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