贝卡的历险日记

担心着．担心着．北风来了,冰雪的脚步近了。一切都像没睡醒的样子．昏昏然紧闭着喉。山冷冻起来了．水凉起来了太阳在地平线下躲起来了．海豹偷偷地从水里钻出来．傻傻的．胖胖的．海洋里．浮冰上．瞧去．一大片一大片满是的．坐着．漂着．打两个滚．踢几块．水．赛几趟泳．捉几回迷藏。     

同分布的NA序列加权和的强大数律

讨论了同分布NA随机变量序列加权和的强大数律,所得结果推广了Z．D．Bai和P．E．Cheng及S．H．Sung的结果．     

货币政策从紧企业六招应对

企业界的人士都知道．货币政策从紧的提法已经多年没听说过了。早在1997年之前．为了抑制通货膨胀．我国曾采用过适度从紧的货币政策，后来为了应对亚洲金融危机．刺激经济增长．实际上是加大了货币供应量．因而就再也没提过适度从紧的货币政策了。这次刚闭幕的中央经济工作会议提出了从紧的货币政策．人们都非常重视．把它看成货币政策的一个转折点。     

Pachpatte几个非线性二元积分不等式的推广

本文建立了几个ｎ元非线性积分不等式解的估计．在ｎ＝２的特殊情况改进并推广了 Ｐａｃｈｐａｔｔｅ Ｂ． Ｇ．［５,９,１０］的五个定理．举例说明了结果的应用．     

Dickson多项式与差集

1998年,Maschietti用超卵形线构造了几个循环差集．R．Evans,H．D．L．Holloman, C．Krattnthaler与Qing Xiang等给出了其对应的二元序列具有良好自相关函数的简单代数证明．在本文中,证明了超卵形线与二对一映射有着紧密的联系,并且推广了Maschietti的结果．     

三角Hopf代数表示范畴上的Lie余代数

本文在三角Ｈｏｐｆ代数表示范畴上系统地研究了Ｌｉｅ余代数,在此范畴上 的Ｌｉｅ余代数与Ｈｏｐｆ代数之间建立了重要的联系．主要给出了Ｌｉｅ余代数的余包络 余代数的结构．所得结果自然是关于Ｌｉｅ代数的对偶结果,推广了 Ｓｗｅｅｄｌｅｒ Ｍ． Ｅ．, Ｇｕｒｅｖｉｃｈ Ｄ．Ｉ．, Ｍｉｃｈａｅｌｉｓ Ｗ．和 Ｍａｉｉｄ Ｓ．等人的结果．     

三角Hopf代数表示范畴上的Lie余代数

本文在三角Ｈｏｐｆ代数表示范畴上系统地研究了Ｌｉｅ余代数,在此范畴上 的Ｌｉｅ余代数与Ｈｏｐｆ代数之间建立了重要的联系．主要给出了Ｌｉｅ余代数的余包络 余代数的结构．所得结果自然是关于Ｌｉｅ代数的对偶结果,推广了 Ｓｗｅｅｄｌｅｒ Ｍ． Ｅ．, Ｇｕｒｅｖｉｃｈ Ｄ．Ｉ．, Ｍｉｃｈａｅｌｉｓ Ｗ．和 Ｍａｉｉｄ Ｓ．等人的结果．     

到复Grassmann流形的多重调和映照的构造

本文给出了一些到复Ｇｒａｓｓｍａｎｎ流形的多重调和映照的构造定理,从而推广了莫小欢,Ｂｕｒｓｔａｌｌ　Ｆ． Ｅ．,Ｗｏｏｄ Ｊ． Ｃ．和 Ｕｄａｇａｗａ Ｓ．的结果．     

数学王国历险记

第一章 门前风云 第九回 黄金数列 却说小π等六人上山探险寻宝．虽然一路历经千辛万苦．但凭借集体的智慧以及后方留守人员的鼎力相助．最终顺利抵达无穷山顶．六个人还来不及仔细欣赏山顶的美妙风光，就遇到了新的挑战．那就是如何飞越无穷滩．机器人已经给了他们一些提示：只有破解了那个超级密码．才可能找到可行的方案．     

粘弹性流体流经作依赖时间运动伸展面的三维流动及其传质问题

研究粘弹性流体流经伸展面时的三维边界层流动．假定伸展面的运动速度依赖于时间．进一步考虑了更高阶次化学反应对传质的影响．应用同伦分析法(HAM)进行计算．精确地分析了所得级数解的收敛性．用图形讨论了各参数变化对速度和浓度的影响．还给出了面传质数值的计算,将所得结果与前人的数值解进行了比较．     

一类具有非局部边界条件的半线性椭圆型方程奇摄动问题

本文研究了一类具有非局部边界条件的奇摄动半线性椭圆型方程边值问题。在适当的条件下，利用比较定理讨论了问题解的渐近性态。     

反应扩散方程的奇摄动

§ 1　 IntroductionThe nonlinearsingularly perturbed problem is a very attractive subjectof study in theinternational academic circles[1 ] .During the past decade many approximate methods havebeen developed and refined,including the method of average,boundary layer method,matched asymptotic expansions,and multiple scales.Recently,many scholars,for example,Bohé[2 ] ,Butuzov and Smurov[3] ,O Malley[4] ,Butuzov,Nefedov and Schneider[5] ,Kelley[6]and so on did a great deal of work.Mo consider…     

一类具有非局部边界条件的反应扩散方程奇摄动问题

该文研究了一类具有非局部边界条件的奇摄动反应扩散初始边值问题。在适当的条件下，利用比较定理讨论了问题解的渐近性态。     

A KIND OF NONLOCAL PROBLEMS FOR SINGULARLY PERTURBED REACTION DIFFUSION SYSTEMS

1991MRSubjectClassification35B2535K57Theauthorsstudiedakilldofsingularlypertllrbedproblemsin[1]-[61.Nowwe't()llsiderthefollowingsingularlyperturbedproblemforthenonlocalboulldaryconditionsouteof~Li'Ui=.fi(X,.UljUZj'',JINN,~),0相似文献   

Complete second order differential equations in Banach spaces with dynamic boundary conditions

In this paper, we deal with the mixed initial boundary value problem for complete second order (in time) linear differential equations in Banach spaces, in which time-derivatives occur in the boundary conditions. General wellposedness theorems are obtained (for the first time), which are used to solve the corresponding inhomogeneous problems. Examples of applications to initial boundary value problems for partial differential equations are also presented.     

A class of nonlinear singularly perturbed initial boundary value problems for reaction diffusion equations with boundary perturbation

A class of nonlinear initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions and using the theory of differential inequalities the asymptotic solution of the initial boundary value problems is studied.     

References

  The problems of the nonlocal boundary conditions for the singularly perturbed reaction diffusion systems are considered. Under suitable conditions, using the comparison theorem the asymptotic behavior of solution for the initial boundary value problems are studied.     

非局部反应扩散方程奇摄动问题

本文研究了一类具有非局部初始条件的奇摄动反应扩散问题．在适当的条件下，利用比较定理讨论了问题解的渐近性态．     

NONLOCAL PROBLEM FOR SINGULARLY PERTURBED REACTION DIFFUSION SYSTEMS

In this paper, the problems of the nonlocal initial conditions for the singularly perturbed reaction diffusion systems are considered. Under suitable conditions, using the comparison theorem the asymptotic behavior of solutions for the initial boundary value problems are studied.     

Two-point boundary value problems containing a finite number of random variables

This paper concerns linear and nonlinear n^th order boundary value problems that contain a finite number of random variables in the boundary conditions or in the differential equation. The results extend methods previously known for corresponding initial value problems. Numerically implementable procedures are given for the determination of the joint density of the solution at an arbitrary point. The possible use of Liouvilleapos;s equation to reduce a random boundary value problem to a random initial value problem is also indicated.