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1.
考察了非线性三阶三点特征值问题 {u^m(t)+λf(t,u(t),u′(t),u″(t))=0,0〈t〈1, u(0)=a,u′(η)=βu″(1)=γ, 其中非线性项f(t,u0,u1,u2)是一个强Caratheodory函数.证明了当a^2+β^2+γ^2〉0或者∫1 0|f(t,0,0,0)|dt〉0时存在λ^*〉0使得对于任何0〈λ≤λ^*,此问题至少有一个非平凡解。  相似文献   

2.
一、有关概念 如果y是u的函数,而u又是x的函数,即y=f(u),u=g(x),x∈A.那么函数y=f(g(x)),x∈A,叫做f和g的复合函数.其中u叫做中间变量.函数y=f(g(x))是二层复合函数,同样可以定义三层复合函数y=fg(h(x)))和多层复合函数等.我们主要谈二层复合函数,其中,u=g(x)称为内层函数,y=f(u)称为外层函数.  相似文献   

3.
函数与方程是两个不同的概念,但它们之间有着密切的联系,方程f(x)=0的解就是函数y=f(x)的图像与x轴的交点的横坐标,函数y=f(x)也可以看作二元方程f(x)-y=0通过方程进行研究.[第一段]  相似文献   

4.
函数是中学数学的一个重要概念,它渗透在数学的各部分内容中,一直是高考的热点、重点内容.而和函数有必然联系的是方程,方程f(x)=0的解就是函数y=f(x)的图像与x轴的交点的横坐标,函数y=f(x)也可以看作二元方程f(x)-y=0的解,通过方程进行研究,要确定变化过程的某些量,往往要转化为求出这些量满足的方程,这就是方程的思想,方程思想是动中求静,研究运动中的等量关系.  相似文献   

5.
本文运用极小值原理给出了半线性椭圆方程-△u=λ(x)u—│u│^2*·-2u+g(x,u)+h(x)(其中λ(*)∈[λ1,λk])的Dirichlet问题解的存在性定理,这里次临界项g(x,u)关于u是非线性的.  相似文献   

6.
使f(x)=0的实数x叫做函数y=f(x)的零点.从这个概念可知,函数的零点个数问题实际上就是求方程f(x)=0的实数根的个数.  相似文献   

7.
函数的零点是研究函数性质的一个方面,也是高考考查的热点,在近几年的高考中出现频率非常高.本文结合几道试题介绍几种函数零点的处理方法.1解方程(方程思想)我们把使得f(x)=0成立的实数x,叫作函数y=f(x)的零点.因此,函数的零点与方程有密切的联系.方程f(x)=0的解就是函数y=f(x)的零点(也是函数f(x)图象与x轴交点的横坐标);且方程f(x)=g(x)的解就是新函数y=f(x)-g(x)的零点,也是函数y=f(x)与函数y=g(x)的图象的交点的横坐标.因此我们可以研究方程或函数图象解决函数的零点问题.例1(2012年湖北理)函数f(x)=xcos x2在区间[0,4]上的零点个数为.  相似文献   

8.
题目 已知函数f(x)=x^2+ax+1/x^2+a/x+b(x∈R,且x≠0),若实数a,b使得f(x)=0有实根,求a^2+b^2的最小值.(2014年高中数学联赛贵州赛区) 1.一题多解 分析 令t=x+1/x,则t∈(-∞,-2]∪[2,+∞),于是 方程f(x)=0,即t^2+at+b-2=0(|t|≥2).(*)  相似文献   

9.
题目(2005年,辽宁,理科第22题)函数y=f(x)在区间(O,+∞)内可导,导函数f'(x)是减函数,且f'(x)〉O.设x0∈(0,+∞),y=kx+m是曲线y=f(z)在点(x0,f(x0))处的切线的方程,并设函数g(x)=kz+m。  相似文献   

10.
奇异拟线性椭圆方程的正整体有界解   总被引:1,自引:0,他引:1  
设β≥0是常数,f:RN×R ×RN→RN是一个连续函数.本文研究形如△u f(x,u,▽u)u-β=0,x∈RN(N≥3)的奇异拟线性椭圆方程的正整体解,给出了该类方程具有界的正整体解的若干充分条件.  相似文献   

11.
The communication of people partially is the communication of cultures. Culture has a direct effect on international commercial activities in all aspects. Different conceptions about time, space, equality, law and the like, lead people to deal with things in different ways. So to know cultures of the counterpart is to facil-itate our enterprises so as to have a smooth and successful communication in commercial activity.  相似文献   

12.
风的曲线     
Rosco and I wait for the fishermen to return.I sit at a wooden bench near the store at Mt.Baker Resort and watch the clouds change shape. Rosco has my belt around his neck and an eight foot tow chain hooked to a tree. Dogs must be on a leash. Ducks and rabbits are loose.  相似文献   

13.
Given a graph G,a subgraph C is called a clique of G if C is a complete subgraph of G maximal under inclusion and |C|≥2. A clique-transversal set S of G is a set of vertices of G such that S meets all cliques of G. The clique-transversal number, denoted as TC (G), is the minimum cardinality of a clique-transversal set in G. The clique-graph of G, denoted as K (G), is the graph obtained by taking the cliques of G as vertices, and two vertices are adjacent if and only if the corresponding cliques in G have nonempty intersection. Let F be a class of graphs G such that F={G|K(G) is a tree}. In this paper the graphs in F having independent clique-transversal sets are shown and thus TC (G)/|G|≤1/2 for all G ∈ F.  相似文献   

14.
汉字倒说     
汉字的六书,《说文》对“转注”一类,语焉不详。后世学者提及转注,也仅限于许慎所举出的例字。《汉字例说》一文,作者从转注的角度综合考虑,对部分现代常用字作了分析,跟传统的解释有所不同。希望能抛砖引玉,互相切磋,以推进学术研究。  相似文献   

15.
《海外英语》2007,(5):44-45
It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,  相似文献   

16.
Different nations have different social cultures, and the social culture of every nation is developing with the development of the nation, language is greatly influenced by social culture, which enables language to possess national and historical characteristics. Word is the smallest, independent, meaningful linguistic unit of language. It can well reflect the national and historical characteristics. From synchronic aspect, the social and cultural influence on word meaning is mainly embodied in conceptual and associative meanings of word. The incorrespondence of word meaning is a phenomenon that exists in both conceptual and associative meanings of word among different languages. From diachronic aspect, the development of social culture causes some changes of word meaning to some extent. Therefore, social culture plays a key role in vocabulary learning and mastery of a language.  相似文献   

17.
钱生钱!     
我们绝大部分人都同意一件事情——我们喜欢金钱。但是你对金钱的喜欢之情足够到让你创立一份事业么?.财富通常被人忽视,主要在于人们不能真正了  相似文献   

18.
《海外英语》2007,(4):36
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.  相似文献   

19.
The problem on the geometrc inequalities involving an n-dimensional simplex and its inscribed simplex is studied. Aninequality is established, which reveals that the difference between the squared circumradius of the n-dimensional simplex andthe squared distance between its circumcenter and barycenter times the squared circumradius of its inscribed simplex is not lessthan the 2(n-1)th power of n times its squared inradius, and is equal to when the simplex is regular and its inscribed siplex is atangent point one. Deduction from this inequality reaches a generalization of n-dimensional Euler inequality indicating that thecircumradius of the simplex is not less than the n-fold inradius. Another inequality is derived to present the relationship betweenthe circumradius of the n-dimensional simplex and the circumradius and inradius of its pedal simplex.  相似文献   

20.
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