RAA Electron-Phonon Interaction Cannot Support High TC in YBaCuO

The e-ph interaction in YBaCuO is calculated and the nonlinear Eliashberg equation is solved by the newly introduced bifurcation theory and parameter imbedding method. The transition temperature is low from the traditional (RA.4) e-ph model. The cause of some authors' improper high T_C result is discussed.     

The Exact and Limiting Distributions for the Number of Successes in Success Runs Within a Sequence of Markov-Dependent Two-State Trials

The total number of successes in success runs of length greater than or equal to k in a sequence of n two-state trials is a statistic that has been broadly used in statistics and probability. For Bernoulli trials with k equal to one, this statistic has been shown to have binomial and normal distributions as exact and limiting distributions, respectively. For the case of Markov-dependent two-state trials with k greater than one, its exact and limiting distributions have never been considered in the literature. In this article, the finite Markov chain imbedding technique and the invariance principle are used to obtain, in general, the exact and limiting distributions of this statistic under Markov dependence, respectively. Numerical examples are given to illustrate the theoretical results.     

On the Eigen-value Problem for Elliptic Systems Under Natural Growth Condition: the Super Limit Cases

In this paper, we consider a quasilinear elliptic eigenvalue problem. For the unbounded coefficients, we allow the eigen exponent greater than the Sobolev imbedding critical exponent; for the equations, we also allow the coefficient of suitable smallness condition greater than 1.     

On Decomposition in Exponential Orlicz Spaces

Various characterizations are given of the exponential Orlicz space L and the Orlicz‐Lorentz space L. By way of application we give a simple proof of the celebrated theorem of Brézis and Wainger concerning a limiting case of a Sobolev imbedding theorem.     

一类双调和方程弱解的存在性研究

利用上下解方法、嵌入定理和Leray-Schauder不动点定理证明了一类双调和方程弱解的存在性定理.做为定理的应用,给出了一个实例.     

Joint Distributions of Runs in a Sequence of Multi-State Trials

In this paper we introduce a Markov chain imbeddable vector of multinomial type and a Markov chain imbeddable variable of returnable type and discuss some of their properties. These concepts are extensions of the Markov chain imbeddable random variable of binomial type which was introduced and developed by Koutras and Alexandrou (1995, Ann. Inst. Statist. Math., 47, 743–766). By using the results, we obtain the distributions and the probability generating functions of numbers of occurrences of runs of a specified length based on four different ways of counting in a sequence of multi-state trials. Our results also yield the distribution of the waiting time problems.     

关于等价嵌入于存贮线性有限自动机问题

本文应用模的手段研究域上线性有限自动机等价嵌入于其中存贮类型的问题,分别得到可等价嵌入的一个充分条件与不可等价嵌入的一个充要条件。     

一类非线性方程解的渐近稳定性

在有界区域上研究了一类非线性发展方程,得到了该方程在耗散情形下平衡解的渐近稳定性。     

Existence of solutions for nonlinear elliptic boundary value problems

IntroductionInRef.[1 ]KannanandLockergivetheexistenceofatleastonesolutionofTy-h(t,y ,… ,y(n- 1) )y=f(t,y ,… ,y(n- 1) )　　 (a相似文献