字的组合的半群方法

该文利用半群方法给出了语言的一些代数性质.首先,讨论了稠密语言的半群结构,给出了包含语言w(wk)(其中w∈A+,k是正整数)的一个稠密语言类;证明了稠密正规语言包含一个字与一个稠密正规右酉幺半群的积.其次,讨论了自由幺半群的正规分支可分解性,证明了自由幺半群及正规分支可分解语言与正规分支可分解的后缀语言的积是正规分支可分解的;应用这些结果证明了Shyr和Yu关于正规语言的两个猜想.     

P-反演半群上的强P-同余格

介绍了P 反演半群的概念 ,给出了P 反演半群上强P 同余格的某些特征     

真映射生成半群的拓扑压

在Biś和Patrão定义的拓扑熵基础上给出了度量空间中有限个真映射构成的半群的拓扑压,并证明了局部紧可分度量空间上由真映射构成的自由半群的拓扑压和它的一点紧化空间上对应的拓扑压相等,在此基础上给出真映射构成的半群的拓扑压的性质。     

The exponential stability region of Timoshenko beam with interior delays and boundary damping

In this paper, we investigate the exponential stability of a Timoshenko beam with interior time delays and boundary damping. At first, we show that the system is well posed by the semigroup method. Next, we construct an appropriate functional to study the exponential stability. We transform the exponential stability into the solvability of inequality equations, and then by analysing the relationship between delays parameters α₁, α₂ and damping parameters β₁, β₂, we describe the (α₁, α₂)-region for which the system is exponentially stable.     

奇异半线性反应扩散方程组的Blow-up问题

利用算子半群理论和压缩映射原理,对一类奇异半线性反应扩散方程组解的问题进行讨论,得到其解在有限时间内爆破.     

一类变换半群的若干结果

对保两个等价关系变换半群的某些性质进行了研究,利用格林关系及幂等元正则性,讨论了这类半群的某些性质,得出了保两个等价关系变换半群是左零半群、右零半群的充要条件。     

关于Domain半群与Domain半环

引入并研究了D-Clifford半群.刻画了其上的Domain算子.给出了"任意Domain半环S中的Domain格d(S)是否都是(co)-Heyting代数"这一公开问题的否定回答.证明了有限布尔格上仅能赋予惟一的Domain算子.     

TL-Fuzzy半群

给出了TL－fuzzy半群,TL－fuzzy左（右）理想,TL－fuzzy双理想,TL－正则半群及TL－fuzzy正则半群的定义,讨论了他们的性质,这里L是任一给定的完备Brouwerian格,T是L上的任一分配的t－模。     

Approximate controllability of semilinear partial functional differential systems

In this paper, we study the approximate controllability of semilinear neutral functional-differential systems and impulsive functional-differential systems with finite delay. Since the considered equations admit nonlinear terms involving spatial derivatives, the fraction power theory and α-norm is used to discuss the problem so that the established results can be applied to them. An example is provided to illustrate the application of the obtained results. This work is supported by NNSF of China (No. 10671069) and Shanghai Leading Academic Discipline Project (No. B407).     

无限时滞抽象泛函微分方程的广义解

利用强连续算子半群理论,在满足基本公理的抽象相空间中,研究一类具无限时滞的抽象泛函微分方程的广义解的存在唯一性.