Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators

In the present paper our aim is to establish convergence and Voronovskaja-type theorems for first derivatives of generalized Baskakov operators for functions of one and two variables in exponential and polynomial weight spaces.      

On generalized measures of entropy and dependence

Various authors have studied extensions of Shannon’s entropy but their inferential properties and applications in applied sciences have not invited proper attention from researchers. In the present paper we explore the motivation and implication of using various classes of the generalized entropies and conditional entropies. We evaluate β-class and (α, β)-class entropies for multivariate normal density function. We also obtain the measures of dependence in terms of the classes of generalized entropies.      

二阶时滞小波神经网络的全局指数稳定性分析

通过构造李雅谱诺夫泛函,对具有时滞的二阶神经网络的稳定性进行分析,利用Eazumikhin定理得到了网络平衡点全局指数稳定的时滞相关与无关的充分条件,当衰减率依赖于时间时,得出了它们之间的一个线性关系,并进行了简明扼要的分析.     

指数型二分性和周期系统的周期解

先讨论指数型二分性成立的条件，在某种意义下推广了Ｌａｚｅｒ关于二分性的结果，之后，我们用该结论探讨Ｌａｓｏｔａ－Ｏｐｉｕｌ方程及方程ｘ＝ｆ（ｔ，ｘ），ｆ（ｔ＋ｗ，ｘ）＝ｆ（ｔ，ｘ），ｆ（ｔ，ｘ）∈Ｃ’（Ｒ＊Ｒ＾ｎ，Ｒ＾ｎ）的周期解的存在性，推广了文「２」的主要结果，并得到一些新的结果。     

多项式的特征和与二项指数和的混合均值

本文主要利用解析方法以及二项指数和与Dirichlet特征的性质，研究多项式的特征和与二项三次指数和的混合均值的计算问题，并得到一个较强的渐近公式.     

具时滞的Hopfield网络周期解的指数稳定性

The paper is devoted to periodic attractor of delayed Hopfield neural networks with time-varying.By constructing Lyapunov functionals and using inequality techniques,some new sufficient criteria are obtained to guarantee the existence and global exponential stability of periodic attractor.Our results improve and extend some existing ones in[13～14].One example is also worked out to demonstrate the advantages of our results.     

Exponential decay of connectivities in the two-dimensional ising model

We prove some results concerning the decay of connectivities in the low-temperature phase of the two-dimensional Ising model. These provide the bounds necessary to establish, nonperturbatively, large-deviation properties for block magnetizations in these systems. We also obtain estimates on the rate at which the finite-volume, plus-boundary-condition expectation of the spin at the origin converges to the spontaneous magnetization.On leave from São Paulo University, Brazil.     

Family of Twelve Steps Exponential Fitting Symmetric Multistep Methods for the Numerical Solution of the Schrödinger Equation

In the present paper we present a family of twelve steps symmetric multistep methods. The explicit part of new family of methods is applied to the scattering problems of the radial Schrödinger equation. This application shows the efficiency of the new family of methods.