Desargues定理的推广

本文将射影几何著名的Desargues透视三点形定理推广到四面体和三维射影空间的完全n(n≥4)点形(体)中。     

轴外物点理想成像的条件

用费马原理证明了轴外物点理想成像的条件     

波纹纤维混凝土的动力耗散研究

根据曲线纤维的几何特点和受力性能 ,推导了波纹纤维混凝土的本构关系 ,在本构理论的基础上进行动力耗散研究     

Science Letters： A synthetic Toll-like receptor 2 ligand decreases allergic immune responses in a mouse rhinitis model sensitized to mite allergen

It has been proposed that activation of Toll-like receptors （TLRs） plays crucial roles in the polarization of adaptive immune responses. A synthetic Toll-like receptor 2 （TLR2） ligand, Pam3CSK4, has been reported to modulate the balance of Th1/Th2 responses. We evaluated the modulation effect of Pam3CSK4 on allergic immune response in a mouse rhinitis model sensitized to house dust mite allergen （HDM）. Mice were sensitized and challenged with Dermatophagoidesfarinae allergen （Der f）, and then the allergic mice were treated by Pam3CSK4. Nasal allergic symptoms and eosinophils were scored. Der f-specific cytokine responses were examined in the splenocytes and bronchoalveolar lavage fluid （BALF）. Serum level of total IgE was also detected. After establishing a mouse allergic rhinitis model with HDM, we have showed that Pam3CSK4 treatment not only ameliorated the nasal allergic symptoms remarkably but also decreased the eosinophils and total inflammation cells in BALF significantly. Analysis of cytokine profile found that IFN-7 released from either BALF or stimulated splenocytes increased markedly in Pam3CSK4-treated mice, while IL-13 decreased significantly. Moreover, serum level of total IgE was significantly lower in Pam3CSK4-treated mice than in the untreated. Thus, in an allergic rhinitis mouse model developed with HDM, Pam3CSK4 was shown to exhibit an antiallergic effect, indicating its potential application in allergic diseases.     

遗传算法模式理论研究

给出了多种交叉方式遗传算法的模式定理及相关的证明.该定理避免了遗传算法模式理论的不足,使模式理论更加准确、严格.     

不连续二阶周期边值问题的可解性

考察了一类非线性项含有一阶导数的二阶周期边值问题的解的存在性,其中非线性项是Carathèodory函数.通过构造非线性项的高度函数并且利用Leray-Schauder不动点定理建立了两个存在定理.第一个定理表明只要高度函数的积分是适当的,这类问题至少有一个解.第二个定理表明当非线性项在无穷远处增长的极限是一个无界函数时在适当条件下这问题仍可能有一个解.     

一类次二次Hamilton系统的次调和解的存在性

运用临界点理论中的极小极大方法得到一类次二次Hamilton系统的次调和解的存在性定理.     

处理优化约束条件的微分方程法

在文[1]中,作者曾提出求解一般约束优化问题的一种新方法。本文利用微分方程对约束条件做进一步的讨论,证明了从一可行点的某邻域出发的该微分方程组的解关于部分变元总收敛到问题(1.1)的可行点。     

Lipschitz条件题设的完善

本文给出了函数单侧极值点的定义,并证明了连续函数的单侧极值点所成之集与实数集等势,且利用此完善了函数满足Lipschitz 条件的题设。     

透射和反射组合系统的基点基面

本文研究了由透射和反射系统构成的组合系统的基点基面,推导出了其位置公式,结果表明这样的组合系统等效于一个反射镜,等效反射镜就是反射系统经透射系统所成的象,最后对其性质进行了讨论.