一类具状态依赖时滞的微分系统解的渐近行为

研究了一类具有状态时滞的微分方程系统解的渐近行为,获得了该系统每一个有界解当t→∞时都趋于常向量,所获得的结果改进和扩展了已有文献的相关结果.     

Attracting and invariant sets for a class of impulsive functional differential equations

In this article, a class of nonlinear and nonautonomous functional differential systems with impulsive effects is considered. By developing a delay differential inequality, we obtain the attracting set and invariant set of the impulsive system. An example is given to illustrate the theory.     

滞后线性控制系统的输出能控性

本文对具有滞后的线性泛函微分方程所确定的滞后线性控制系统ｘ（ｔ）＝Ａ（ｔ）ｘ（ｔ）十Ｂ（ｔ）ｘ（ｔ－１）＋Ｃ（ｔ）ｕ（ｔ）ｔ∈（０，Ｔ］ｘ（ｔ）＝Φ（ｔ）ｔ∈［１，０］ｙ（ｔ）＝Ｄ（ｔ）ｘ（ｔ）＋Ｅ（ｔ）ｕ（ｔ）ｔ∈［－１，Ｔ］给出一些关于欧氏空间完全输出能控性的重要结论。并且对自治的滞后线性控制系统做了进一步研究，得到令人满意的充要条件；特别是通过与相应的常微分方程所确定的控制系统的输出能控性相比较，得到比较简明的判则。     

Global attracting set,exponential stability and stability in distribution of SPDEs with jumps

A novel approach to the global attracting sets of mild solutions for stochastic functional partial differential equations driven by Lévy noise is presented. Consequently, some new sufficient conditions ensuring the existence of the global attracting sets of mild solutions for the considered equations are established. As applications, some new criteria for the exponential stability in mean square of the considered equations is obtained. Subsequently, by employing a weak convergence approach, we try to establish some stability conditions in distribution of the segment processes of mild solutions to stochastic delay partial differential equations with jumps under some weak conditions. Some known results are improved. Lastly, some examples are investigated to illustrate the theory.     

Asymptotic behavior of impulsive stochastic functional differential equations

In this paper, a nonlinear and nonautonomous impulsive stochastic functional differential equation is considered. By establishing a nonautonomous -operator impulsive delay inequality and using the properties of ρ-cone and stochastic analysis technique, we obtain the p-attracting set and p-invariant set of the impulsive stochastic functional differential equation. An example is also discussed to illustrate the efficiency of the obtained results.     

Inventory games with permissible delay in payments

Meca et al. (2004) studied a class of inventory games which arise when a group of retailers who observe demand for a common item decide to cooperate and make joint orders with the EOQ policy. In this paper, we extend their model to the situation where retailer’s delay in payments is permitted by the supplier. We introduce the corresponding inventory game with permissible delay in payments, and prove that its core is nonempty. Then, a core allocation rule is proposed which can be reached through population monotonic allocation scheme. Under this allocation rule, the grand coalition is shown to be stable from a farsighted point of view.     

Asymptotic Behavior of Solutions to a Class of Systems of Delay Differential Equations

The authors investigate the asymptotic behavior of solutions to a class of systems of delay differential equations. It is shown that every bounded solution of such a class of systems tends to a constant vector as t→∞. Our results improve and extend some corresponding ones already known.     

带随机延滞的ARCH模型的几何遍历性

本文对带随机延滞的ARCH模型进行了分析,并得到该模型伴随几何遍历的一个判别准则.     

Difference Sets and Recursion Theory

There is a recursive set of natural numbers which is the difference set of some recursively enumerable set but which is not the difference set of any recursive set.     

On Classifying Subsets of Natural Numbers by Their Computable Permutations

We introduce some alternative definitions of the concept of computable automorphism of a set of natural numbers. We study their relationships and investigate whether some classes of sets having isomorphic groups of automorphisms coincide with other classes of sets usual in computability. Finally, we show that the classification of sets by these groups of automorphisms is nontrivial.