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1.
设X1,…,X q是Carnot群G=(Rn,o)(q相似文献   

2.
本文从热传导方程入手,讨论了一般形式的抛物型方程Lu≡u_t-sum from i,j=1 to n a_(ij)(x,t)u_(ij)+sum from i=1 to n b_i(x,t)u_i+c(x,t)u=f(x,t)的极值原理。  相似文献   

3.
研究如下的三维Kirchhoff型问题{-(a+b∫Ω| ▽u | 2dx)△u=| u|q-1u+λ |u|p-2u/|x|s, x∈Ω,u=0, x∈(a)Ω,其中,Ω是R3中具有光滑边界的有界区域,0∈Ω,0<q<1,0≤s<1,4<p<2*(s)=2(3-s),a,b,λ>0.运用变分方法,证明当λ>0足够小时,这一方程至少有2个正解.  相似文献   

4.
主要讨论如下最优控制解的存在性问题,即对给定的正数T和已知函数uT(x)∈L2(Ω),寻找一个最优控制q(·)∈L∞(0,T)满足0≤q(t)≤1,使得J(q)=∫Ω|u(x,T)-uT(x)|2dx+δH∫T0|q(t)|2dt,达到最小,其中δ0为一给定常数,(,u)为下列耦合方程组初边值问题的解:{t+?×[a(x,t)?×]=F(x,t)(x,t)∈QT(1.1)u-▽(k(x,u)▽u)=q(t)a(x,t)|▽×(x,t)QT(1,2)N×(x,t)=N×G(x,t),u(x,t)=g(x,t)x∈?Ω,0tT(1,3)(x,0)=H0(x),u(x,0)=u0(x)x∈Ω(1.4)其中QT=Ω×(0,T],Ω为有界区域,?=(?/?x1,?/?x2,?/?x3),H=(H1,H2,H3),G(x,t),g(x,t)为给定函数,0(x),u0(x)为给定初始函数,N为边界?Ω的法向导数。  相似文献   

5.
考虑如下齐次Neumann初、边值问题其中D_1、D_2>0为扩散常数,a_(ij),b_i(i,j=1,2)为常数,Q为R~n中有界开集,Ω为Ω之光滑边界,我们证明了: 如果问题有一个正平衡点u~*=(u_1~*,u_2~*)>0满足并且>0,a_(11)<0,a_(22)<0,则对任给正光滑初值函数φ_1(x),φ_2(x),问题有唯一解u(t,x)=(u_1(t,x),u_2(t,x))并且有 u(t, x)=u~*  相似文献   

6.
本文讨论了如下广义细胞神经网络系统,xi(t)=-ci(t)xi(t)+∑^n(j=1) aij(t)fj(xj(t))+∑^n(j=1)bij(t)fj(xj(t-tij(t)))+Ii(t),i=1,2...,n,借助于Lyapunov-Krasovskii型泛涵,得到了这类系统吸引性易于验证的充分条件。在实际应用中,设计验证所需条件是很方便的。具有更为广泛的理论意义和应用价值,  相似文献   

7.
研究了如下的拟线性椭圆型方程:△pu+uq+λup*-1=0,u∈W1o,p(Ω), (1λ)其中,Ω2是RN中具有光滑边界的有界区域,△pu=div( |▽u|p-2▽u),N≥3,2≤p<N,0<q<1,p*=NP/N-P.设λ*(Ω,p,q)是拟线性椭圆型方程(1λ)可解的参数集的上确界.运用变分方法,在不要求具有对称性质的一般区域Ω上得到了λ*(Ω,p,q)的一个可以精确计算的下界.  相似文献   

8.
柯西不等式的一个简单证明及应用   总被引:1,自引:0,他引:1  
柯西不等式设 ai>0 ,bi>0 , i=1 ,2 ,… ,n。( ∑ni =1a2i) ( ∑ni =1b2i) ( ∑ni =1aibi) 21 证明设 A=∑ni =1a2i, B=∑ni =1b2i, C=∑ni =1aibi则 ABC 1 =∑ni =1a2i BC2 ∑ni =1b2i B  =∑ni =1( a2i BC2 b2i B) ∑ni =12 aibi C=2所以  ABC 1 2 ,即 AB C2。2 应用利用柯西不等式推导空间一点 p( x0 ,y0 ,z0 )到直线 L:  Ax By Cz D=0的距离公式d=| Ax0 By0 Cz0 D|A2 B2 C2设 p1( x1,y1,z1)是直线 L:  Ax By Cz D= 0上任一点则有Ax1 By1 Cz1 D=0则 | pp1| =( x0 - x1) 2 ( y…  相似文献   

9.
设: nf(x)二艺a;xn一‘a。=1)(1)1二O是首项系数为1的实系数或复系数的n次多项式.Durand〔‘〕和Kerner〔“〕独立地提出了求(1)的所有根r,、rZ、xi[爪 王]=x孟价…r。的并行算法: f(x;[ml)nn(x。[m,一x了tm])=1,…n,m二o,1,…)其中(x,’ol,’‘’‘”, 对于m=0,1, 刀m=max}xi  相似文献   

10.
邵为爽 《科技通报》2013,(1):9-11,18
研究具有多个非线性源项的半线性波动方程utt-△u=f(u)=∑ak|u|pt-1u from k=1 to l具有临界初值E(0)=d,I(u0)<0的初边值问题。我们证明了,若f(u)满足假设(H),u0(x)∈H01(Ω),u1(x)∈L2(Ω),E(0)=d,I(u0)<0且(u0,u1)≥0,则此问题不存在整体弱解,从而解决了这一公开问题,从实质上补充了文献[10]的结果。  相似文献   

11.
This study examined how students who had no prior experience with videoconferencing would react to the use of videoconferencing as an instructional medium. Students enrolled in seven different courses completed a questionnaire at the beginning of the semester and again at the end of the semester. Students at the origination and remote sites did not differ in their reactions toward videoconferencing but there was a significant difference for gender. Women reacted less favorably to videoconferencing. Compared to the beginning of the semester, students reported significantly less positive attitudes toward taking a course through videoconferencing at the end of the semester. There were no significant differences in students' attitudes toward videoconferencing across courses at the beginning of the semester but there were significant differences across the courses at the end of the semester. The results suggest the need for better preparation for both students and instructors.  相似文献   

12.
Ajoint study by Prof. ZHANG Zhibin from the CAS Institute of Zoology and his co-workers from Norway, US and Swiss have indicated that historical outbreaks of migratory locusts in China were associated with cold spells, suggesting that China's projected climate warming could decrease the pest's numbers. The study was published in Proceedings of theNational Academy of Sciences on 17 September, 2007.  相似文献   

13.
A computer-mediated group is a complex entity whose members exchange many types of information via multiple means of communication in pursuit of goals specific to their environment. Over time, they coordinate technical features of media with locally enacted use to achieve a viable working arrangement. To explore this complex interaction, a case study is presented of the social networks of interactions and media use among members of a class of computer-supported distance learners. Results show how group structures associated with project teams dominated who communicated with whom, about what, and via which media over the term, and how media came to occupy their own communication niches: Webboard for diffuse class-wide communication; Internet Relay Chat more to named others but still for general communication across the class; and e-mail primarily for intrateam communication. Face-to-face interaction, occurring only during a short on-campus session, appears to have had a catalytic effect on social and emotional exchanges. Results suggest the need to structure exchanges to balance class-wide sharing of ideas with subgroup interactions that facilitate project completion, and to provide media that support these two modes of interaction.  相似文献   

14.
CAS should stick to the principle of rendering service to, and giving impetus for, the development of China's science enterprise by making S&T innovations, said CAS President LU Yongxiang. The CAS president made the remarks in a recent talk to communicate the gist of the winter session of the Party's Leading-member Group at CAS, which was held from 7 to 11 January in Beijing.  相似文献   

15.
Electronic data interchange (EDI) provides means for interorganizational communication, creates network externalities, requires an advanced information technology (IT) infrastructure, and relies on standards. In the diffusion of such innovations, institutional involvement is imperative. Such institutions contain governmental agencies, national and global standardization organizations, local government, and nonprofit private organizations like industry associations. The last type of organizations we call intermediating institutions. They intermediate or coordinate ("inscribe") the activities of a group of would-be adopters. Unfortunately, little is known of how these organizations shape the EDI diffusion trajectory. In this article we examine one specific type of intermediating organizations?industry associations?and how they advanced the EDI diffusion process in the grocery sectors of Hong Kong, Denmark and Finland. We identify six institutional measures, placed into a matrix formed by the mode of involvement (influence vs. regulation) and the type of diffusion force (supply push vs. demand pull), that can be mobilized to further the EDI diffusion. Industry associations were found to be active users of all these measures to varying degrees. Their role was critical especially in knowledge building, knowledge deployment, and standard setting. Furthermore, institutional involvement varied due to policy and cultural contingencies and power dependencies.  相似文献   

16.
With great care, Dr. ZHOU Zhonghe takes out a package wrapped by cotton tissue from a drawer and says: "This is the gem of our collections: the fossil of a bird that lived 125 million years ago!" Then, pointing at a tiny mound, he explains: "Look, this is the claw and that is the head. It was in the egg shell and ready to hatch ... The species fell into a family of waterside inhabitants."  相似文献   

17.
The increasing prospects of digital piracy has prompted the perceived need by electronic publishers to adopt technical systems of protection, and governments to reform their copyright laws. This article is a preliminary study of the management of intellectual property by electronic publishers, defined as those involved in the production of online databases, and CD-ROMs. It focuses on three main issues: (1) how electronic publishers view the increasing threat of piracy; (2) the methods of protection employed to protect intellectual property in digital format; and (3) the importance of technological protection of intellectual property in electronic publications. The analysis is based on a sample of 23 UK electronic publishers. The interviews revealed an interesting assortment of protection methods and did not show that technological protection was a preferred way. Instead, the means of protection, in addition to copyright law, comprised niche markets, pricing, trust, bad publicity, and nontechnical and technical means.  相似文献   

18.
Long-standing conflict between domain name registrants and trademark holders prompted the Internet Corporation for Assigned Names and Numbers (ICANN) to create a global, mandatory arbitration procedure known as the Uniform Dispute Resolution Policy (UDRP). The UDRP has been used in 2166 cases involving 3938 domain names as of 1 November 2000. The policy gives the initiator of a complaint, generally a trademark holder, the right to choose which ICANN-accredited dispute resolution service provider (RSP) will handle the case. During the preparation of the UDRP,some feared that complainant selection would lead to "forum shopping" that might bias the results. This article performs a statistical assessment of the forum-shopping thesis and finds support for it. There are statistically significant differences in the various RSPs' propensity to take away names from defendants; there are also major differences in the number of cases brought to each RSP. RSPs who take away names have the larger share of cases. The study examines other variables that might explain differences in market share, such as price, the plaintiff's nationality, or the time taken to decide a case. It finds that nationality and time also are correlated with market share. The study concludes that shopping for a favorable outcome is an important factor in the UDRP.  相似文献   

19.
Prof. Raymond C.K. Chen, a neuropsychologist with the CAS Institute of Psychology, has made novel progress in his studies of schizophrenia. His work has been reported by a recent issue of Behavioural Neurology.  相似文献   

20.
<正>In Xishuangbanna,one of China’s most biodiverse regions,landscape has changed dramatically during the past three decades due to the conversion of tropical rainforest to rubber plantations.In steep areas,terraces are often constructed before planting rubber trees,which causes two important changes in the soil:the destabilization of soil in the bench terraces and the increased vulnerability of unvegetated riser faces to erosion.Few studies have documented the nature and intensity of erosion on bench terraces.Prof.LIU Wenjie and his colleagues from the Xishuangbanna Tropical Botanical Garden(XTBG)conducted a study in Menglun County(21°5′39″N,101°15′55″E),Xishuangbanna to evaluate the influence  相似文献   

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