Banach空间积-微分方程两点边值问题的解

利用混合单调算子理论及一个新的比较定理讨论了Banach空间积-微分两点边值问题{-u″=f(t,u,Tu,Su),au(0)-bu′(0)=x0,cu(1) du′(1)=x1.解的存在唯一性,其中a,b,c,d≥0,δ=ac ad bc,I=[0,1],x0,x1 ∈ E且f∈C[I×E×E×E,E],Tu(t)=∫0k(t,s)u(s)ds,Su(t)=∫01h(t,s)u(s)ds,(V)t∈I,k∈C(D,R ),D={(t,s)∈I×I,t≥s},h∈C(I×I,R ),R =[0,∞).     

证明(或)恒成立的几种常见思考方法

正一般来说,欲证不等式f(x)g(x)(或f(x)g(x))在区间I上恒成立,则可构造函数h(x)=f(x)-g(x),通过讨论h'(x)在区间I上的符号情况,判断出h(x)的单调性,然后由函数h(x)在区间I上的一个初始值,证得不等式成立.但有时由于方程h'(x)=0的根不好求,或者利用初等方法根本求不出来,于是我们可以分别考虑f(x)与g(x)的最值来完成.本文就证明f(x)g(x)(或f(x)g(x))恒成立的几种常见思考方法梳理如下.1.构造函数h(x)=f(x)-g(x),判断函数h(x)的单调性,给出h(x)的一个初始值     

高中数学复习知识点测试题(四)

(复数)姓名…一——一、单项选择月(75分)1.设A=1实数IS二I纯虚数8,C=1复数Z,全集I=C,则()-(A)AUB==C(B)A=B(C)A0forN(D)BUB=C2.已知ZEC,则下列结论正确的是()(助旧厂一多_(田1及一旧厂(C)=r(D)Z相似文献   

薛定谔方程组多峰解的存在性(英文)

Schrdinger方程-Δu+λ2u=u2q-2u有唯一的正径向对称解Uλ,当r→∞时Uλ指数衰减到零.因此可以预料薛定谔方程组-Δu1+u1=u12q-2u1-εb(x)u2qu1q-2u1,-Δu2+u2=u22q-2u2-εb(x)u1qu2q-2u2存在在某些点附近形同Uλ的多峰解.对于u=(u1,u2)∈H1(R3)×H1(R3)定义非线性泛函Iε(u)=I1(u1)+I2(u2)-ε/q∫R3b(x)u1qu2qdx,其中I1(u1)=1/2‖u1‖2-1/2q∫R3u12qdx,I2(u2)=1/2‖u2‖2ω-1/2q∫R3u22qdx.证明了此泛函的临界点就是薛定谔方程组的解.设Z为非扰动问题的解流形,TzZ为此流形的切空间.寻求Iε的形如z+w的临界点,其中w∈(TzZ)⊥.应用Iε的性质,证明了Iε存在近似于(∑ni=1U(x-ξi),∑ni=1V(x-ξi))的多峰解.     

(3S,4S)-N-苄基-3,4-二羟基氢化吡咯的合成工艺条件研究

以(R,R)-(+)-酒石酸为原料,合成了(3S,4S)-N-苄基-3,4-二羟基氢化吡咯,利用1HNMR、12CNMR对合成的产物进行性能表征。采用单因素分析方法,系统研究了物料的摩尔比,还原剂,反应时间等因素对产品收率的影响,实验结果表明:以NaBH4/I2做还原剂,n(底物)∶n(NaBH4)∶n(I2)=1∶5∶1.68,反应时间为6 h是获得较高产率的最佳工艺条件。     

校园里处处有欢笑(校园歌曲)

(05蛆l m-蛆l f1至-蛆I{-鲤l{J1 3.3快乐的快乐的她I§,I 3问我快 乐 哪门就带 着 快垂j 1 I 5量呈I(0—5》6.I曼、)I 5 6 l垦3^1 l 5.5 5人 儿 都知道。 你为他人 分了忧感 觉 好奇妙。 我把 快乐 分给了3 3.2 I 1 1.6 一 I T愁,快乐就向你你,我的快乐I 1. 1I 2.旧』■0:卜把手招。虹I j并没少。、,产0=^o一》 l_a一 —¨I】卜K,,5一找跑5～里乐小犍型邝3 5满笑,陶陶,i —l 5、 一 I 5 l l 你 我l 3丛叫5(哈哈哈哈哈(哈哈哈哈哈6 I墨n为 他人把 温暖蛐5 I 3垡11Ⅵ卜、虾一(o s蛆I一蛐5 3垡11Ⅵ15、吐。h一 蛆I;一l做了好 事,快乐…     

新目标英语八年级（上）期中测试卷

! I. 语言知识运用( 共 15 小题; 每小题 1 分, 满分 15 分) ( )1. Myeatinghabits are good. I never eat __________. I think they’re junk food. A. cola B. fruits C. hamburgers ( )2. - __________ subjects doyou studyat school? - More than fifteen. A. Howfar B. Howmany C. Howlong ( )3. Kevin is verygood at English. He always gets good __________ in the English exams. A. notes B. grades C. problems ( )4. - Julia, please __________ the photoofmyfamily. - Thank you. Oh, look, it’s you! A. look …     

(h,ψ)-η次梯度及其在非光滑(h,ψ)-半无限规划中的应用

首先根据Ben-Tal广义代数运算定义了(h,ψ)-η方向导数并得到了它的一些基本性质.然后根据(h,ψ)-η方向导数的概念定义了(h,ψ)-η次梯度与广义正则弱(h,ψ)-Lipschitz函数,讨论了它们的一些基本性质.最后根据关于(h,ψ)-η预不变凸函数与(h,ψ)-η预不变拟线性函数的择一性定理,得到了非光滑(h,ψ)-半无限规划的最优性条件以及使(h,ψ)-Kuhn-Tucker条件成立的一个约束品性.     

配套练习

I. 单项选择( )1. I think I’ll be a reporter ______ 10 years.A. after B. in C. behind( )2. - Do you think there will be more cars? - __________.A. Yes, there will B. Yes, they will C. Yes, there have( )3. I predict there will be less _______ in the future.A. people B. tress C. pollution( )4. What’s happened _______ Tom? He’s late again.A. with B. for C. to( )5. There _________ a meeting tomorrow morning.A. will have B. will be C. be( )6. I hope there will be _____ cars tomorrow.A. …     

我不傻!

叫1.drun无e几 口ne矶口夕乙以娜口卜2.“W吞以’(醉_汉)叨t站叨毗人ing Ons亡he扣ur万M林幼re口了s夕”嘛h as灯e皎厂潜)On叨元公h blisters玄he(水方。ndas肠d him.bo名h ea字5. 馨- 卜了.to叹7乙S叨eTI;林istook 01力。活翻酬乙e 月工了亡 比e。日I e泛!专了通.乞了九j分near占y筒),”已宝辰‘夕‘,wered.(熨斗),:(听月、。。扁 V反“I,the dru成en功ith pride.nZ耐fool.l’’勿口几“Whens成dOnee记犷更砧egot6“ha,_鄂cO喇theot阮r!’’立叫4.“Oh,I‘侣红忿忿。名h已流方e耐:耐.诚以h即Penedother ear尸布艺翎蟒隆完 _:沪匀叹,…     

卡思卡特城堡

It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,     

不同的吃喝玩乐

一、吃和喝吃苹果 eat an apple, 吃药 take medicine,吃糖 have some sweets,吃饭 have one's meals,吃馆子 dine out,吃惊 be surprised/     

漏洞百出的教育

Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help?     

只要努力,不要后悔

There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love.     

浅谈移民问题

Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject.     

Sister Carrie, an Adherent of Desires

Sister Carrie is one of the most controversial characters in American literature.Thought as a "fallen woman" firstly,she was defined as a "new woman" by some critics later. However, by digging into the motivaton behind the whole process of Carrie's "success", the relationship between Carrie and her creator (the author), the social conditions of then American, it can be found that Carrie has never been free-standing on her thought and she has never found her real-sdf even after becoming a famous actress. In a society dominated by mass consumerism Carrie is only an adherent of her own desires. She also is a representative of all those country girls flooded into cities, a symbol and a sacrifice of the urbanization of America in a time countryside was overcome by cities.     

Improvement of one-cycle controller by use of proportional integral differential controller

1.IntroductionOne-cyclecontrolmethod,whichwasproposedaboutonedecadeago[1],hasbecomeanattractivemethodinspecialfieldssuchaspowerfactorcorrection[2-6],switchingamplifiers[7,8],etc.Themainideaofthiscontrollerisbasedonintegrationofdiodevoltageinone-cycleandforcesittobeexactlyequaltothereferencevalue.Themainadvantageofthiscontrollerisitsrealtimeabilitytorejectthevariationofinputvoltage[1].Despitethisgreatability,ithasnogoodperformancesinrejectingofloaddisturbanceandfollowingreferencecommands.Espec…     

库克斯顿城堡

城堡, 是欧洲典型的建筑之一, 每个城堡都有一个美丽的传说或是一段历史。从本期开始, 我们将推出“城堡之旅”, 带各位读者去浏览、观赏欧洲各地的城堡, 开始一段文化与历史的旅途!     

The Reader Response Approach to Teaching of English Literature

During interview with English majors, it was found that a majority of students expressed disappointment with their experience of English literature classes. Students' dislike of learning English literature appears to be the major problem of teaching English literature in China. Reader response approach is a good way to solve this problem. In this paper, I explain the rationale behind the reader response approach, such as its origin, definition, features, assumptions, and strategies. Then I illustrate how reader response approach works as a teaching strategy by presenting several teaching models. At last I evaluate its usefuiness for teachers and present the advantages of reader response approach in Chinese context.