一类广义I类不变凸半无限规划的对偶性

对几个Is类和广义Is类不变凸性的情形，研究了半无限规划的对偶性，给出了一些弱对偶、强对偶和逆对偶定理。     

奇异二阶Neumann边值问题的正解

分别在f,g同超（次）线性情形下，研究了非线性Neumann边值问题－u″ Mu=α（t）f(u) b(t)g(u),u′(0)=u′(1)=0正角的存在性，其中α,b在端点可以具有奇性。     

紧哈斯道夫拓扑空间上的一类不动点定理

得到几个在紧哈斯道夫拓扑空间上新的不动点定理，扩充了文[3]及[4]、[2]和[6]中的一些结果，主要结果是定理3、定理7、定理10和定理11。     

Immunology in China:Looking Back and Forward

The evolution of immunology as a scientific discipline, and the current status of immunology research in China and some other countries in the world, is surveyed. Some of the directions in which the field should be highlighted in the future are speculated on.     

Stability Test for 2-D Continuous-Discrete Systems

Models of 2-D continuous-discrete systems are introduced, which can be used to describe some complex systems. Different from classical 2-D continuous systems or 2-D discrete systems, the asymptotic stability of the continuous-discrete systems is determined by Hurwitz-Schur stability (hybrid one) of 2-D characteristic polynomials of the systems. An algebraic algorithm with simpler test procedure for Hurwitz-Schur stability test of 2-D polynomials is developed. An example to illustrate the applications of the test approach is provided.     

关于拟范空间的Robinson-Ursescu定理

由凸集值映射的拟开性与拟Lipschitz性的内在联系，推导出拟范空间上集值映射的Robinson-Ursescu定理、开映照与闭图定理形式。     

关于凸过程的开映照与闭图定理

在拓扑向量空间的框架下获得了凸过程的开映照与闭图定理。     

关于次导数的中值定理

依据导数的概念及中值定理,给出了次导数的概念及相应的中值定理.     

Counting Problems in Parameterized Complexity

Parameterized complexity is a multivariate theory for the analysis of computational problems. It leads to practically efficient algorithms for many NP-hard problems and also provides a much finer complexity classification for other intractable problems. Although the theory is mostly on decision problems, parameterized complexity naturally extends to counting problems as well. The purpose of this article is to survey a few aspects of parameterized counting complexity, with a particular emphasis on some general frameworks in which parameterized complexity proves to be indispensable.     

微分中值定理及微分Darboux定理新证明方法

给出了函数单调性判定定理的一种新证明方法,并由此给出了反函数的连续性、可导性和求导公式的严密证明,同时给出了微分中值定理和微分Darboux定理及其推广形式的一种新的简洁证明方法。