集值映射多目标规划的K-T最优性条件

讨论集值映射多目标规划(VP)的最优性条件问题.首先,在没有锥凹的假设下,利用集值映射的相依导数,得到了(VP)的锥--超有效解要满足的必要条件和充分条件.其次,在锥凹假设和比推广了的Slater规格更弱的条件下,给出了(VP)关于锥--超有效解的K--T型最优性必要条件和充分条件.  

多种综合评价方法的综合应用

本文基于过去应用不同的综合评价方法对同一社会经济现象进行评价时，其评价结果总 差异的现象，提出一种系统综合评价方法，克服了以往仅应用一种方法在评价中的片面性，使评价结果中全面、客观。同时本文应用此方法对陕西省十一个城市的设施水平进行了综合评价。  

超凸空间中的连续选择定理与耦合定理

本文给出了超凸空间中的连续选择定理与耦合定理，并得到了它们的证明,作为应用，我们给出了超凸空间中的不动点定理与截口定理．  

A new condition for the uniform convergence of certain trigonometric series

Summary The present paper proposes a new condition to replace both the (O-regularly varying) quasimonotone condition and a certain type of bounded variation condition, and shows the same conclusion for the uniform convergence of certain trigonometric series still holds.  

2-(v,6,1)设计的可解区传递自同构群

设G是一个2-（v，6，1）设计的可解区传递自同构群，且G非旗传递，则：（1）v＝91，G=Z91×Zd，这里3|d|12；（2）v=pm，G≤AL（1，pm），之一成立．其中p≠2．当p＝3时，4|m见且m＞4；当p＞5时，pm≡1（mod30）。  

Weighted weak type estimates for commutators of the Marcinkiewicz integrals

In this paper the authors give the weighted weak L logL type estimates for a class of the higher order commutator generated by the Marcinkiewicz integral and a BMO function. In addition, the weak type norm inequalities for the Marcinkiewicz integral and its commutators with different weight functions are also discussed.  

带机器准备时间的平行机在线与半在线排序

本文研究带机器准备时间的m台平行机系统在线和半在线排序问题.对在线排序问题,我们证明了LS算法的最坏情况界为2-1/m.对已知工件加工时间递减,已知总加工时间和已知工件最大加工时间三个半在线模型,我们分析了它们的下界和所给算法的最坏情况界.对其中两台机情形均得到了最好近似算怯。  

Continuity of Higher Order Commutators on Certain Hardy Spaces

In this paper, the autors study the continuity properties of higher order commutators generated by the homogeneous fractional integral and BMO functions on certain Hardy spaces, weak Hardy spaces and Herz-type Hardy spaces. Received October 13, 2000, Accepted November 29, 2001  

A Functional Central Limit Theorem for Asymptotically Negatively Dependent Random Fields

Let X _k ; k N ^d be a random field which is asymptotically negative dependent in a certain sense. Define the partial sum process in the usual way so that , where . Under some suitable conditions, we show that W _n (·) converges in distribution to a Brownian sheet. Direct consequences of the result are functional central limit theorems for negative dependent random fields. The result is based on some general theorems concerning asymptotically negative dependent random fields, which are of independent interest.  

Optimal nonlinear feedback control of quasi-Hamiltonian systems

An innovative strategy for optimal nonlinear feedback control of linear or nonlinear stochastic dynamic systems is proposed based on the stochastic averaging method for quasi-Hamiltonian systems and stochastic dynamic programming principle. Feedback control forces of a system are divided into conservative parts and dissipative parts. The conservative parts are so selected that the energy distribution in the controlled system is as requested as possible. Then the response of the system with known conservative control forces is reduced to a controlled diffusion process by using the stochastic averaging method. The dissipative parts of control forces are obtained from solving the stochastic dynamic programming equation. Project supported by the National Natural Science Foundation of China (Grant No. 19672054) and Cao Guangbiao High Science and Technology Development Foundation of Zhejiang University.