一类非光滑多目标规划的K-T必要条件

本文对一类由可微函数与凸函数之和形式组成目标函数的多目标规划，分别在Kuhn-Tucker约束品性和Arrow—Hurwicz—Uzawa约束品性下，给出了其弱有效解的K—T必要条件，并给出了其特例(目标函数含||Bx||p的情形)的K—T必要条件，从而推广和改进了已有的结果。     

退化Temperley－Lieb代数的素理想

本文在讨论Ｔｅｍｐｅｒｌｅｙ—Ｌｉｅｂ代数素理想的基础上，构造出了量子Ｙｏｕｎｇ算子，并对ｑ取单位根的情形进行了仔细分析．     

风险企业的委托-代理模型

传统的委托—代理理论在解释风险企业家的行为时遇到了困难。通过对传统的委托—代理理论进行重新构造和拓展，本提出逆反努力法则，验证了隐藏行动的道德风险的存在，并通过Newton迭代法和图形学方法对风险企业家的长期努力水平进行计算，发现努力水平对努力效应指数n表现出协同效应。     

广义概率收缩偶与概率赋范空间中非线性方程的解

在本文中引入了广义概率收缩偶的概念，研究了具广义概率收缩偶的非线性集值和单值算子方程组（族）的解的存在性和唯一性，并讨论了ＰＮ－空间中集值和单值映象对（族）的公共不动点的存在性．本文改进和发展了［１—４，６—９］中的相应结果．     

两级分解—协调方法在交通系统模糊控制中的应用

文章将大系统理论与模糊控制理论相结合，并应用于交通控制系统作了尝试。通过对单路口交通系统的分析，把大系统的分解—协调思想应用于单路口交通模糊控制中，提出了单路口交通系统的两级分解—协调模糊控制方法，并进行了计算机仿真研究。仿真结果表明，文中提出的方法比传统的交通控制方法（全感应控制方法）有效。     

基于不确定信息处理的语言群决策方法

研究了具有语言偏好信息的语言群决策问题。首先提出了一种基于不确定信息处理的二元语义混合加权平均（T—HWA）算子，并对该算子的性质进行了分析，然后给出了一种基于T—HWA算子的语言群决策（TGDM）方法。最后，通过算例对新方法的有效性进行了验证。     

弱1—凸对策及其解的性质

本文提出了一类特殊的ｎ人合作对策模型─—弱１—凸对策，研究了弱１—凸对策的解的性质，并证明弱１—凸对策的解满足所有常见的公理化特征．     

L—模糊关系

Ｌ—模糊集与模糊集相比，在值域上使用的是更为一般的代数系统，本文以Ｌ—集合套为工具，对Ｌ—模糊映射，Ｌ—模糊变换，Ｌ—模糊关系以及它们之间的关系作了详尽的研究，得到了一些有意义的结果，这些结论可望得到广泛的应用。     

不确定性多属性决策的新方法

本文研究了属性指标值，属性权重为L—R模糊数的多属性决策问题，首先在不同的α水平下将L—R模糊数转化为区间数，基于优化模型求出方案的区间属性值并利用α-截及区间数序关系的可能度，构造互补判断矩阵。提出一种新的排序公式，得到一族排序向量，然后对不同α水平下的排序向量集结，得出总的排序向量，以此对方案排序，最后通过实例说明了该方法的可行性和有效性。     

多元线性模型参数的组合主成分估计

本文对多元线性模型的参数β=vec（B）提出了一种新的主成分估计─—组合主成分估计β，得到了它的一些良好的性质，证明了在均方误差准则下，在一定的条件下，此估计优于最小二乘估计（LSE），并给出了实例．     

Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations

We obtain nonsymmetric upper and lower bounds on the rate of convergence of general monotone approximation/numerical schemes for parabolic Hamilton-Jacobi-Bellman equations by introducing a new notion of consistency. Our results are robust and general - they improve and extend earlier results by Krylov, Barles, and Jakobsen. We apply our general results to various schemes including Crank-Nicholson type finite difference schemes, splitting methods, and the classical approximation by piecewise constant controls. In the first two cases our results are new, and in the last two cases the results are obtained by a new method which we develop here.

     

Properties of serial kanban systems

In this paper we show some structural results of a kanban system by using results about the underlying GSMP. The main results from this connection are: dominance of allocations, optimal partition, upper and lower bounds on throughput, consistency of the IPA derivative, convexity of throughput as a function of service time parameters and concavity of throughput with respect to number of kanbans. Although the dominance and the partition results were obtained previously by sample path arguments, the proofs here are less cumbersome and generalize the earlier results. The second-order properties for kanban lines are new. These results form a basis for results in multi-product lines where proofs by sample paths require extensive notation.     

Commutativity conditions for rings: 1950–2005

During the last 55 years there have been many results concerning conditions that force a ring to be commutative. These results were stimulated by Jacobson's famous result and were extensively developed by Herstein. This paper will survey the area by organizing the results according to whether they come from variations on Herstein's conditions, depend on general polynomial conditions, depend on the presence of a derivation, or whether a ring has special properties that make commutativity more easily accessible. Finally, the most recent conditions concern product sets and lead to results in a new area of inquiry.     

Existence and comparison results for fixed points of multifunctions with applications to normal-form games

In this paper we apply generalized iteration methods to prove comparison results which show how fixed points of a multifunction can be bounded by least and greatest fixed points of single-valued functions. As an application we prove existence and comparison results for fixed points of multifunctions. These results are applied to normal-form games, by proving existence and comparison results for pure and mixed Nash equilibria and their utilities.     

Oscillations of nonlinear hyperbolic equations with functional arguments via Riccati method

This paper is devoted to the study of the oscillatory behavior of solutions of nonlinear hyperbolic equations with functional arguments by using integral averaging method and a generalized Riccati technique. First, we establish oscillation results for nonlinear hyperbolic equations by applying oscillation criteria for Riccati inequality. Secondly, we present interval oscillation results for nonlinear hyperbolic equations. These results improve and extend oscillation results of Cui and Xu [1].     

An elementary proof of the maximum principle for optimal control problems governed by a Volterra integral equation

An elementary proof of the maximum principle for optimal control problems whose states are governed by Volterra integral equations is given. Our proof is motivated by the work of Michel (Ref. 7) and utilizes only elementary results from analysis and mathematical programming. By appealing to Pontryagin-type perturbations of the controls, the above optimal control problem is effectively reduced to a mathematical programming problem. The results are then obtained by appealing to well-known mathematical programming results.     

TheL p-saturation results weighted simultaneous approximation by the method of Bernstein-Durrmeyer operators

The aim of the present paper is to prove new equivalence results and L_p-stauration results on weighted simultaneous approximation by the method of Bernstein-Durrmeyer operators (including results in [7]). One of the main tools and crucial estimates managing the converse results is given by a direct modified Vornorskaja theorem which uses the third order weighted modulus of smoothness. Supported by NSF of Hebei Province.     

Entire functions sharing an entire function of smaller order with their difference operators

We study a uniqueness question of entire functions order with their difference operators, and deal with a question in this paper extend the corresponding results obtained by Liu Examples are provided to show that the results in this paper, in sharing an entire function of smaller posed by Liu and Yang. The results -Yang and by Liu-Laine respectively. a sense, are the best possible.     

Hilbert空间的无穷维Compound算子方程

In this article, we consider compound matrices and compound operator equations in a Hilbert space. First, we recall some concepts and main results introduced by Muldowney and by Roger Temam. After that we establish the rule of compound matrices in a Hilbert space, and obtain the expression of solution to a compound operator equation by using the method of operator semigroup. Our brief results generalize the corresponding results in a finite space.     

非正非线性算子方程正解的存在性及其应用

首先使用全局分歧理论得到了含参数非线性算子方程解集无界连通分支存在的结果,然后根据算子的正连通性得到了一类非正非线性算子方程正解的存在结果.使用本文的主要结果在无需假设非线性项为正的条件下可以得到某些微分边值问题正解的存在结果.