发动机的曲轴转速方程及其近似解

从活塞发动机的动力分析中得到本文中的微分一积分方程(4),其中α为曲轴转角,θ为角速度的平方,而ε<<1为总等效转动惯量的倒数。本文利用压缩映象原理和摄动方法证明了所得方程解的存在性和唯一性,并给出了这个解的渐近展开。     

Genetic analysis and molecular mapping of a presenescing leaf gene psll in rice （Oryza sativa L.）

A rice psl1 （presenescing leaf） mutant was obtained from a japonica variety Zhonghua 11 via radiation of ^60Co-γ in M2 generation. Every leaf of the mutant began to wither after it reached the biggest length, while the leaves of the wild variety could keep green for 25--35 d. In this study, genetic analysis and gene mapping were carried out for the mutant identified. The SSR marker analysis showed that the mutant was controlled by a single recessive gene （psl1） located on chromosome 2. Fine mapping of the psl1 locus was conducted with 34 new STS markers developed around psl1 anchored region based on the sequence diversity between Nipponbare and 93-11. The psl1 was further mapped between two STS markers, STS2-19 and STS2-26, with genetic distances of 0.43 and 0.11 cM, respectively, while cosegregated with STS2-25. A BAC contig was found to span the psl1 locus, the region being delimited to 48 kb. This result was very useful for cloning of the psl1 gene.     

Improved generalized cell mapping for global analysis of dynamical systems

Three main parts of generalized cell mapping are improved for global analysis.A simple method,which is not based on the theory of digraphs,is presented to locate complete self-cycling sets that correspond to attractors and unstable invariant sets involving saddle,unstable periodic orbit and chaotic saddle.Refinement for complete self-cycling sets is developed to locate attractors and unstable invariant sets with high degree of accuracy,which can start with a coarse cell structure.A nonuniformly interior-and...     

关于p-一致光滑的Banach空间中的Reich公开问题

在p-一致光滑的Banach空间(1＜p≤2)条件下对Reich公开问题给出一个肯定的答复,并在张石生教授等人最新研究成果基础上,作了推广和改进:把原来的第一型修正的Reich序列推广到第一型带误差修正的Reich序列;去掉limαn n→∞=0,∑∞nαn=∞和∑∞n=0(kn-1)＜∞条件.     

GFC-空间中的参数型KKM定理及其应用

首先证明了GFC-空间的一个特征性质,然后通过引进线性序空间,在非紧的GFC-空间中证明了一个参数型KKM定理.应用参数型KKM定理得到了一些新的非紧的极大极小不等式.     

T—KKM映象与拟变分不等式

本文引入一种新的T-KKM映象替代KKM映象,得到了Ky Fan定理的推广形式及局部凸Hausdorff线性拓扑空间中一类拟变分不等式解的存在性定理。推广和改进了Ky Fan(1953),Aubin(1984),J.X.Chou,G.Chen(1988)等人的一些主要结果。     

关于Menger空间中的几个不动点定理

本文给出Menger空间中单值和多值映象的几个不动点定理,对文[1]的定理1和定理2作了进一步的推广,对文(1)的定理4、定理5作了适当的更正。     

拓扑空间上的双半连续映射

本文引进了双半连续映射的概念,并讨论了它的一些性质及其与同胚映射、半同胚映射的关系。     

神经网络方法在课程关联研究中的应用

用神经网络的自组织学习算法,对某班学生的语文、数学,英语,物理,化学这５个科目的成绩进行无导师学生,观察网络的分类结果。发现语言和数学两种课程的关联程度最低,说明它们是两门不同类型的学科,其结论对于中小学的课程设计和安排具有一定的参考价值。     

非扩张映射不动点带误差的Mann迭代过程

本首先在一致凸Ｂａｎａｃｈ空间中对非扩张映射讨论了带误差的Ｍａｎｎ迭代过程的一些特性。然后将Ｒｅｉｃｈ的相应定理推广到带误差的Ｍａｎｎ迭代过程。