关于二阶非线性方程的振动性

1978年,Kamenev[1]证明了由(?)ds_(n-1)…ds_1= ∞可推知线性方程y″ a(t)y=0振动.在本文的定理1中,作者证明了Kamenev的判别法也适用于次线性方程.在定理2,这一个结果被进一步推广到更广泛的非线性方程.     

直流脉宽调速系统强制振荡过程的研究

本文根据向量函数J(ω)分析了直流脉宽调速系统的强制振荡和分谐波振荡,确定了系统发生强制振荡和分谐波振荡的条件,指出了系统可能发生分谐波振荡的频率范围,并阐述了系统分谐皮振荡频率与系统自激振荡频率之间的关系。文中所得结论为抑制系统发生分谐波振荡的设计提供了依据。     

具连续变量非线性中立型偏微分方程系统的振动性

研究了一类具有连续分布型偏差变元非线性中立型双曲偏微分方程系数 式解的振动性，其中Ω包含R^n是具有逐片光滑的有界区域，Δ是Lapalace算子，方程中的积分是Stieltjes积分，获得了系统的解振动的充分条件。     

Correlations between North Atlantic Oscillation Index in winter and eastern China Flood/Drought Index in summer in the last 530 years

The time series of winter North Atlantic Oscillation Index （NAOI） in the period of 1429-1983 developed by Glueck and summer Flood/Drought Index （FDI） of eastern China in the period of 1470-1999 from I00 stations are used in this paper to study the potential impact of North Atlantic Oscillation on the climate in China. The analysis has explored some significant lag correlations between FDI and NAOI. The maximum positive correlation coefficients between NAOI and area-mean FDI in eastern and northern China lagging 2-3 years reach at 0.001 significance level, and while there are also negative correlation between NAOI and FDI in central and southern China at significance level of 0.05-0.01. The correlation between FDI and NAOI is time-dependent, i.e. the correlation coefficients between two indices vary from period to period. The highest correlation appeared in the period of 1636-1742, around the Little Ice Age, with the significant level of far above 0.001. The second significant period was from 1951 to 1999, at the level of 0.005-0.002. Both the power spectrum analysis and Morlet wavelet transformation have presented an interesting phenomenon： the area-mean FDIs in eastern and northern China share almost the same oscillation periods with NAOI in the inter-annual, decadal and centurial scales＇ oscillations, i.e. 4-5, about I0, 20-30, around 50 and 80-100 years, etc. The Mann-Kendall Rank Statistic test reveals the significant trend and decadal abrupt changes in the series of area-mean FDIs in eastern and northern China in the past 530 years, while the NAOI in the past 400 years, did not show such trend at the significance level, but presented more frequent changes than those of FDI in China. This difference is perhaps due to the fact that the amplitude of the extremes of reconstructed NAOI series is less than that from instrumental records.