关于Banach空间上非线性Lipschitz算子的几个结果

引入非线性Lipschitz算子的Lipschitz拟对偶算子的概念,从而证明了非线性Lipschitz算子的“*”运算的线性性,作为应用,最后证明了非线性Lipschitz算子的共呜定理.     

一类捕食-食饵系统绝灭的充分条件

研究了一类具有生物和化学控制(周期释放天敌和喷洒杀虫剂)的两食饵-两捕食者模型的动力学性质.通过线性周期脉冲方程的F loquet理论和小幅扰动方法,证明当脉冲周期小于某个临界值时,存在一个全局渐近稳定的两个害虫根除周期解.     

n端口网络的互易定理

文章根据特勒根定理推导出n端口网络的互易定理，从而得到互易定理的普遍形式，推广了这一重要定理。     

f-heredity knowledge and f-heredity mining

Using S-rough sets, this paper gives the concepts of f-heredity knowledge and its heredity coefficient, and f-variation coefficient of knowledge; presents the theorem of f-attribute dependence of variation coefficient and the relation theorem of heredity-variation. The attribute dependence of f-variation coefficient and the relation of heredity-variation are important characteristics of S-rough sets. From such discussion, this paper puts forward the heredity mining of f-knowledge and the algorithm of heredity mining, also gives its relative application.     

一类新的参数线性规划最优解研究

在一些常见参数线性规划的基础上研究了一类新的参数线性规划最优解的分布区间及相关定理.     

关于微分中值定理"中值点"的讨论

在罗尔定理、拉格朗日中值定理给出“中值点”ξ的存在性的基础上,给出并证明了在一定条件下“中值点”ξ的唯一性,并对ξ的个数问题及高阶导数相应的“中值点”的存在性问题进行了探讨.     

一类二阶常微分方程边值问题解的存在性

设f:[0,1]×R2→R满足Caratheodory条件,a,b∈L1[0,1],a(·)≥0,b(t)≥0满足0≤∫10a(t)dt＜1,0≤∫10b(t)dt＜1,运用Leray-Schauder原理考虑了边值问题x″(t)=f(t,x(t),x′(t)) e(t),t∈[0,1],x′(0)=∫10b(t)x′(t)dt,x(1)=∫10a(t)x(t)dt解的存在性.     

20世纪50年代以来英国地理学发展及地理学思想评述

参考R．J．约翰斯顿《地理学与地理学家》及其姐妹篇《哲学与人文地理学》，对20世纪50年代以来的英国地理学思想及其实践进行疏理，得出英国地理学发展与美国地理学发展趁势基本是一致的，但几乎所有地理学新思想或流派都在美国先诞生，英国随着美国地理学的传播而结合本国实际开展各项研究工作。因而，部分地理学思想在英国并未得到蓬勃发展。但总的来说，从20世纪50年代以来，英国地理学思想的发展脉络大致为：区域地理学——数量地理、实证主义地理——人本主义地理、激进派——应用地理学，结构主义地理——新区域地理学、后现代主义地理学、男女平等主义地理学。     

Synthetic seismograms of ground motion near earthquake fault using simulated Green’s function method

Seismograms near source fault were synthesized using the hybrid empirical Green＇s function method where the discretely simulated seismic waveforms are used for Green＇s functions instead of the observed waveforms of small earthquakes. The Green＇s function seismic waveforms for small earthquake were calculated by solving wave equation using the pseudo-spectral method with the staggered grid real FFT strategy under a detailed 2-D velocity structure in Kobe region. Magnitude and seismic moment of simulated Green＇s function waveforms were firstly determined by using the relationship between fault length and corner frequency of source spectrum. The simulated Green＇s function waveforms were employed to synthesize seismograms of strong ground motion near the earthquake fault. The synthetic seismograms of the target earthquake were performed based on the model with multiple source rupture processes. The results suggest that synthesized seismograms coincide well with observed seismic waveforms of the 1995 Hyogo-ken Nanbu earthquake. The simulated Green＇s function method is very useful for prediction of the strong ground motion in region without observed seismic waveforms. The present technique spreads application field of the empirical Green＇s function method.     

一类超抛物型极限方程的非线性反应扩散问题

讨论了一类具有超抛物型极限方程的非线性奇摄动反应扩散问题.利用比较定理,研究了问题解的存在唯一性及其渐近性态.