一类拟线性椭圆方程的很弱解的唯一性

利用以极大函数表示的有关Sobolev函数的逐点不等式来构造全局的Lipschitz型检验函数,得到了,在一定条件下,拟线性椭圆方程-div A(x,u,Du)=f(x)在grand Sobolev空间W_0~(θ,p)(Ω)中的很弱解是唯一的．     

Marcinkiewicz交换子在Triebel-Lizorkin空间中的有界性

类似Plauszynski相应定理的证明方法,研究了Marcinkiewicz交换子Cb在Triebel-Lizorkin空间的有界性质,得到如下结果设1＜p＜∞,0＜β＜min{1/2,α,}且b(x)∈Λ*β,则对于任意f∈Lp(Rn),有Cb是Lp(Rn)到F*β,∞p(Rn)的有界算子.     

Well-posedness of general nonlocal nonhomogeneous boundary value problems for pseudodifferential equations with partial derivatives

In the article we study the questions of well-posedness of general nonlocal boundary value problems for pseudodifferential equations in the Besov-type limit spaces.     

角急动度与单摆的受迫振动

本文用四维相空间和四阶自洽常微分方程描写了单摆的受迫振动．     

Pontrjagin空间上算子集合的两个稠密性定理

Ｋａｐｌａｎｓｋｙ稠密性定理￣［１］是ｖｏｎＮｅｕｍａｎｎ代数和Ｃ￣＊代数理论中一个基本而重要的定理。算子代数中许多深刻的结果都是以此为工具导出的。要在不定度规空间上探讨算子代数的性质，人们自然会关心在这类空间上是否存在同一类型的结果。本文的主要目的就是在Ｐｏｎｔｒｊａｇｉｎ空间上给出一个相应的稠密性定理。同时，我们还将给出关于完全正则自共轭算子的另一个稠密性的结果。     

B-值鞅Hardy空间与BMO空间的实内插

研究了B值鞅Hardy空间与BMO空间的实内插，并利用所得结果，讨论了鞅Hardy空间的内插空间的共轭问题。     

On Convergence Approach Spaces

The extension of two axioms due to Cook and Fischer to the category CAP of convergence approach spaces leads to the study of non-Archimedean approach spaces as well as two versions of regularity appropriate to CAP and related categories.     

Rs中响应曲面模型的稳健设计

本文运用再生核Hhilbert空间方法研究R^s中响应曲面模型的稳健设计问题。我们假设模型偏差包括由多元Hermite多项式高阶项产生的效应，如果偏差大，设计点应该布于布点附近，否则，设计点应该适当散开，所求设计是正交不变的，而且关于模型偏差是稳健的。     

非稳腔输出环状激光束的传输特性

本文从菲涅耳衍射积分公式出发研究了激光器非稳腔输出环状光束在空间的传输规律.由轴上光强的极值点位置给出了划分非稳腔传输空间的近场、中场和远场区域公式.理论计算结果表明,非稳腔输出端环状光束在中场区域激光能量逐渐向轴心方向转移,而在远场变为爱里型圆盘状光束的过程.在非稳腔脉冲TEA CO_2激光器上测得的实验结果与理论计算结果很好地符合.     

Axioms for Sequential Convergence

It is of general knowledge that those (ultra)filter convergence relations coming from a topology can be characterized by two natural axioms. However, the situation changes considerable when moving to sequential spaces. In case of unique limit points Kisyński (Colloq Math 7:205–211, 1959/1960) obtained a result for sequential convergence similar to the one for ultrafilters, but the general case seems more difficult to deal with. Finally, the problem was solved by Koutnik (Closure and topological sequential convergence. In: Convergence Structures 1984 (Bechyně, 1984). Math. Res., vol. 24, pp. 199–204. Akademie-Verlag, Berlin, 1985). In this paper we present an alternative approach to this problem. Our goal is to find a characterization more closely related to the case of ultrafilter convergence. We extend then the result to characterize sequential convergence relations corresponding to Fréchet topologies, as well to those corresponding to pretopological spaces.