首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献,搜索用时 46 毫秒
1.
研究如下的三维Kirchhoff型问题{-(a+b∫Ω|u|2d)xΔu=|u|q-1u+λ|u|p-2u|x|s,x∈Ω,u=0,x∈Ω,其中,Ω是R3中具有光滑边界的有界区域,0∈Ω,0q1,0≤s1,4p2*(s)=2(3-s),a,b,λ0.运用变分方法,证明当λ0足够小时,这一方程至少有2个正解.  相似文献   

2.
在这篇论文中,通过使用Krasnosel'skii不动点理论和在适当的条件下,给出下面方程的一个和多个正解的存在:(-1)pu(2p)=λa(t)f(u(t),v(t)),t∈眼0,1演(-1)qv(2q)=μa(t)g(u(t),v(t)),t∈眼0,1演u(2i)(0)=u(2i 1)(1)=0,0≤i≤p-1,v(2j)(0)=v(2j 1)(1)=0,0≤j≤q-1,其中λ>0,μ>0,p,q∈N.  相似文献   

3.
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...  相似文献   

4.
给出有限域Fq(q=ps,s≥1,p是一个奇素数)上的方程xm11+…+xmn n=cx1…xt和(x1+…+xn)2=cx1…xt在一定条件下的解数公式,其中m*j|q-1,n≥2,c∈Fq,tn.当m1=…=mn=m时,给出了方程xm1+…+xm n=cx1…xt的解数的显示公式.  相似文献   

5.
在代数(必修本)下册封面上有一自然数平方和1~2+2~2…+n~2=1/6(n+1)(2n+1),该结论在P_(119),例1中用数学归纳法给以证明,P_(124)练习题中用数学归纳法证明:1·2+2·3+3·4+…n(n+1)=(1/3)n(n+ 1)(n+2),P_(124)习题二十三又用数学归纳法证明1~3+2~3+3~3+…+n~3=(1/4)n~2(n+1)~2;1~2+3~2+5~2+…+(2n-1)~2=(1/3)n(4n~2-1),P_(132)复习参考六用数学归纳法证明:1×2×3+2×3×4+3×4×5+…+n(n+1)(n+2)=(1/4)n(n+1)(n+2)(n+3),诸如此类的有关自然数数列求和都是给出了结论,然后用数学归纳法进行证明,不少同学会提出它们作为书皮封面说明是很重要的,那么其结论是怎么来得呢?这是有关自然数数列求和一类公式性的结论,在高考中也曾出现过.例:89年理科第23题是否存在常数a、b、c使得等式:1×2~2+2×3~2+…+n(n+1)~2=(1/12)n(n+1)(an~2+bn+c),对于一切自然数都成立,并证明你的结论.以上所举自然数数列是一类相关习题,下面给出它们结论的证明.(1)1×2+2×3+3×4+n(n+1)=(1/3)n(n+1)(n+2)(2)1×2×3+2×3×4+…+n(n+1)(n+2)=(1/4)n(n+1)(n+2)(n+3)证1:设S=1×2×3+2×3×4+…+n(n+1)(n+2)利用课本错位减法S=1×2×3+2×3×4+3×4×5+…+n(n+1)(n+2)-S=-〔1×2×3+2×3×4+…(n-1)n(n+1)+n (n+1)(n+2)〕0=3×1×2  相似文献   

6.
甲 实数域R上的无穷常数项级数的基本代数系统一 实数域R上的常数项级数设 u_1,u_2,…u_n…∈Ru_1,u_2,…u_n…(1)是实数域R上的无穷数列,u_1+u_2+…+u_n+…=sum from n=1 to ∞ u_n (2)(2)叫做实数域R上的无穷级数,u_n叫做(2)的通项.  相似文献   

7.
设a_i>0,i=1,2,…,n,n 1,令A_n=1/n(a_1 a_2 … a_n),G_n=(a_1a_2…a_n)~n,则有 (n 1)(A_(n 1)-G_(n 1)≥n(A_n-G_n) (1)式中等号当且仅当a_( 1)~u=G_n时成立。此不等式称为拉多(R.Rado)不等式。近年来,国内数学杂志已有不少文章加以讨论,有兴趣的读者可以查阅参考文献〔1〕,〔2〕、〔3〕,〔4〕,〔5〕等。 笔者在〔1〕中得到了另一种拉多型的不等式,即对于任何实数值a_1,a_2,…,a_n;b_1,b_2,…b_n来说,均有  相似文献   

8.
设a_i>0,i=1,2,……n,n+1,令A_n=[a_1+a_2+…+a_n]/n,G_n=(a_1,a_2,…a_n)n,则有拉多(R·Rado)不等式(n+1)(A_n+l-G_(n+1))≥n(A_n-G_n)(1)与波维奇(Popovie)不等式  相似文献   

9.
设A∈Cm×nr,子空间T Cn,S Cm且dimT=dimS⊥=t≤r。在AT S=Cm条件下,适当地选取矩阵U和V,文[2,4,5]中给出了广义逆A(2)T,S的Urquhart型表达式A(2)T,S=U(VAU)-1V,其中R(A(2)T,S)=R(U)及N(A(2)T,S)=N(V)。本文用矩阵满秩分解的方法,给出了A ,A M,N,Ad,Ag,A(-1)(L),A( )(L),和Ad,W等A的多种广义逆的类似的表达式。  相似文献   

10.
我们都知道 ,若有曲线C1:f1(x ,y) =0 ,C2 :f2 (x ,y) =0 ,则方程 f1(x ,y) +λf2(x ,y) =0表示通过C1,C2 两条曲线交点的曲线系 .人们常用这个曲线系方程来解答有关两曲线交点的问题 .但在使用这个关系式时 ,稍有不慎 ,往往会犯以下几方面的错误 .例 1 求经过两圆x2 + y2 + 2 y - 8=0 ,x2 + y2 - 2 =0的交点的直线方程 .误解 设经过两圆交点的曲线方程是x2 + y2 + 2 y - 8+λ(x2 + y2 - 2 ) =0 ,整理得( 1 +λ)x2 + ( 1 +λ) y2 + 2 y - 2λ - 8=0 .只有当λ =- 1时 ,上述方程才有可能表示直线 ,将λ =- 1…  相似文献   

11.
Since the late 1960s,culture has been considered tighter with communication.Culture IS based on the community of communication.Communication involves people and their environment.Thus culture is an important factor in communication.Today with modem economic and technological development,intercultural communication is mole important than ever before. When people from different cultural background communicate with each other,their social stereotype pattern of behavior, their habits of language and thought differ from one another,because these are the possible factors that affect intercultural communications.Culture norms also change,culture may be transferred as signs but we have to study and understand the above carefially.  相似文献   

12.
The article introduces Shakespeare's tragedy "Hamlet".Hamlet wants to revenge for his father.But when the opportunity is coming,he delays his revenge.The passage analyzes the causes of his delay from Hamlet's characters.  相似文献   

13.
The thesis mainly discusses the character of the heroine in Charlotte Brontes famous novel "Jane Eyre". There are three major parts-introduction,analysis which is the main body of the thesis,and conclusion.Jane Eyre,the heroine,is a new woman image who requires independence equality and freedom.The thesis just analyzes Janes these rebellious characters through four peroods of her experiences.First,in her childhood,she has shown her rebellious spirit.As an orphan,Jane suffers a lot of misery.Not only her aunt treats her cruelly,her cousins despise her,but also do servants have a prejudice against her.In Janes immature heart, she is unwilling to bear ill treatment.She rebels them bravely.Second,when she studies at Lowood,her rebellious spirit is exposed furtherly.Her view doest stay in Mrs Reeds,instead turns to the whole society.She makes hypocrisy of so-called charity to be discovered completely.At the same time,she declares her independent,equal rebellious thought to her friend-Helldn who endures oppression willingly.Third,she,as a governess in Thornfield Hall falls in love with Rochester-her master.During this period,her thought grows into maturity.Thought she loves him passionately,she never loses her dignity and independence for him.When she knows his mad wife still lives,she makes up her mind to leave him.For she doesnt want to become his mistress.Fourth,her refusal of St Johns proposal of marriage depicts Janes character.She knows John does not love her at all and his purpose of marriage is only to perform his great task missionary.Jane does want to become a sacrifice.She breaks traditional morality,then she goes back to Rochester.  相似文献   

14.
The context of a word consists of the other words surrounding it and the situation in which it is used.When we come across a new word in our reading,instead of looking it up in a dictionary for its definition,we can guess its meaning from its context.  相似文献   

15.
当代中国武术经历了时代的沧桑和变迁,在历经了文化和历史的发展与洗礼之后,依然发展、繁衍至今。在这样一个漫长的过程中,伴随着以社会环境和社会人群价值取向为主的变迁与变化,当代中国武术的发展与当代社会的发展正逐渐的呈现出某些相背离和不和谐的表象。通过研究,我们发觉中国武术中原本一些内在的东西正在不断的被遗忘,正在不断的流逝。本文试从中国武术在当代发展中的问题境域入手,解读中国武术在当今世界和社会中存在的一些问题,希望能够从中找到中国武术发展的"合法性"或"合时性"的内在依据,以挺立中国武术的脊梁。  相似文献   

16.
Introduction Whatisculture?Toputitsimply,culturemeansthe totalwayoflifeofaperson.Thissimpledefinitionimplies thatculturereferstothepattersofcustoms,traditions,socialhabits,values,beliefsandlanguageofasociety.As cultureissoinclusive,itincludesvirtuallyeverythingthat agroupofpeoplethink,say,doandmake.Followingthedefinitionofsociologists,theterm culturereferstothetotalpatternofbeliefs,customs,institutions,objects,andcharacterizesthelifeofhuman community.“Cultureconsistsofallthesharedproductsof …  相似文献   

17.
"Midnight"is a poem written by Archibald·Lampman,a Canadian poet,who loved nature very much,but his poor health prevents him from being very active in the outdoor life.So he is often the quite,thoughtful observer of nature in his poems.This article mainly talks about how to appreciate the poem in the following aspects:word selecting,rhyme,sentence structure and atmosphere.After reading this poem,we cannot get rid of the air of horror and mystery."Midnight" reveals another aspect of the nature:wild,rough and unknown.There is something else in the nature that can awe human beings even though we don't know what it is.  相似文献   

18.
Chapter Ⅰ Introduction Sitting in the rocking chair,Carrie dreams her future.This is the deep impression the novel"Sister Carrie"gives us,which is written by Theodore Dreiser(1871-1945),the great American realism writer.  相似文献   

19.
运用临场观察统计法、访谈法、文献资料法以及归纳法等研究方法,对现阶段国内青少年足球守门员防守技术运用情况进行统计与分析研究.结果表明:判断反应与选位能力不足是青少年守门员防守技术失误的主要原因,预判失误与技术粗糙以及缺乏自信等导致青少年守门员对抗条件下难以有效发挥位置优势,强干扰情况时出击争夺球失误多,重视反应训练和提高接球动作质量要求是提高青少年守门员技术水平的重中之重.  相似文献   

20.
提高体校学生的语素质的主要途径是课堂教学。体校语教师在教学过程中必须根据学生身心特点.设置合理的结构模式,以便顺利实现教学目标。  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号