关于一阶常微分方程的积分因子求解问题

一阶微分方程M(x,y)dx+N(x,y)dy=0不是全微分方程时,寻找它的积分因子成为求解方程的关键,但又是比较棘手的问题。针对这一情况,本文通过对方程的积分因子存在的充要条件定理的证明,利用定理结论求解积分因子,进而求出其通解,是一种行之有效又直观方便的方法,从而达到化难为易的目的,而且定理结论具有一般性,可以进行推广,使求积分因子时不再盲目,变得有规可循。     

几类Riccati方程的求解

根据黎卡提(Riccati)方程与二阶变系数微分方程的关系,给出了几个可用初等方法求解的黎卡提方程的类型,并通过实例说明所给类型的黎卡提方程的求解.     

用重合度方法解一阶泛函微分方程周期解的存在性

本文通过使用重合度理论研究了一阶泛函微分方程x′（f）=f（t，x（f），xt）的ω周期解存在性问题的充分条件，并改进了相关文献中的结论．     

Pedigree transmission disequilibrium test for quantitative traits in farm animals

General pedigrees are very common in farm animals,and the recent availability of large panels of SNPs in domestic species has given new momentum to the search for the mutations underlying variation in quantitative traits.In this paper,we proposed a new transmission disequilibrium test approach,called the pedigree transmission disequilibrium test,which deals with general pedigrees and quantitative traits in farm animals.Compared with the existing pedigree disequilibrium test (PDT) and general linear model-based method QTDT,our approach performed better with higher power and lower type I error,especially in scenarios where the quantitative trait locus (QTL) effect was small.We also investigated the application of our approach in selective genotyping design.Our simulation studies indicated that it was plausible to implement a selective genotyping strategy in the proposed pedigree transmission disequilibrium test.We found that our approach performed equally well or better when only some proportion of the individuals in the two tails were genotyped compared with its performance when all the individuals in the pedigree were genotyped.     

中国汉画像石与古埃及石刻艺术的比较

汉画像石艺术是我国汉代独特的艺术形式，对我国后来的艺术产生过很大的影响。古埃及石刻艺术在世界上也独具艺术魅力。总结他们的艺术表现手法及特征，我们发现，虽然我国汉代画像石刻艺术与古埃及石刻艺术相差千年，但他们的表现手法及艺术特征有很多极其相似之处；而且形成这些艺术的社会背景、宗教思想也有着一些相似的地方。当然它们的不同之处也有很多，本文就此进行分析比较。     

Identification of susceptibility genes loci associated with type 2 diabetes

In this study, we selected 10 susceptible SNPs loci to investigate their contribution to susceptibility to type 2 diabetes in Han Chinese among Hubei population. We genotyped SNPs rs5219, rs1801282, rs1470579, rs1111875, rs1081661, rs7754840, rs4506565, rs13266634, rs4402960, and rs5643981 by using the method of polymerase chain reaction-ligase detection reaction (PCR-LDR). In a case-control study, we have genotyped the 10 candidate susceptibility SNP loci, and here, we reported that the SNP rs5219 in KCNJ1...     

Identification of an S5n allele in Oryza rufipogon Griff. and its effect on embryo sac fertility

Oryza rufipogon exhibits abundant genetic diversity and contains many elite genes. In this work, a total of 441 accessions of O. rufipogon were genetically examined using the functional marker S5n, revealing that 18 accessions carried the S5n allele with a heterozygous genotype (S5nS5i/j). Of these accessions, 14 were from Guangdong Province, 2 from Guangxi Zhuang Autonomous Region, 1 from Hainan Province and 1 from Jiangxi Province. Further sequence analysis spanning both sides of the deletion in S5n allel...     

A combination of leaf rust resistance gene Lr34 and lesion mimic gene lm significantly enhances adult plant resistance to Puccinia triticina in wheat

Leaf rust caused by Puccinia triticina is an economically-important disease in wheat worldwide.A combination of different types of resistance genes may significantly enhance rust resistance under rust-favorable conditions.To investigate the interactions between the rust resistance gene Lr34 and the lesion mimic gene lm on 1BL in Ning 7840,a segregating F8-10 population of 180 recombinant inbred lines was developed from Ning 7840/Chokwang and evaluated for both lesion mimic expression and leaf rust response at the adult plant stage in a greenhouse.A major quantitative trait locus(QTL),derived from Sumai 3,was co-localized with Lr34 on chromosome 7D and explained 41.5% of phenotypic variations for rust severity and 22.1% for leaf tip necrosis(LTN).The presence of Lr34 was confirmed by Lr34-specific markers cssfr1 and cssfr2 in Ning 7840 and Sumai 3.Unlike Lr34,lm conditioned a spontaneous lesion mimic phenotype and had a significant effect on reducing uredinial size,and a smaller effect on severity.Additive effects were observed between lm and Lr34 for severity and LTN,and an epistatic effect was observed for infection type.Single marker analysis also identified several other QTL with minor effects on severity,infection type,or LTN.     

Existence and Continuous Dependence of Mild Solutions for Some Fractional Neutral Differential Equations with Nonlocal Initial Conditions

The existence,uniqueness,and continuous dependence to the mild solutions of the nonlocal Cauchy problem were proved for a class of semilinear fractional neutral differential equations. The results are ...     

泛函微分方程解的唯一性和渐近性

泛函微分方程的渐进理论作为泛函微分方程定性理论的一部分,在最近30年有了迅速的发展,广泛的应用背景是促使这一理论迅速发展的基础.本文结合时滞泛函微分方程的研究现状,对泛函微分方程解的唯一性和渐进性问题进行了分析.