一类高阶中立型差分方程正解的存在性

利用在集合上定义映射和Knastet不动点原理,讨论了奇数阶中立型差分方程有界正解的存在性,得出了相应方程有界正解存在的充要条件.     

三阶非线性差分方程组边值问题的多个正解

讨论了一类三阶差分方程组Dirichlet型边值问题,借助Green函数的有关性质,在非线性项满足一定条件下,运用Leggett-Williams不动点定理建立了3个正解的存在性.     

一类非线性差分方程的精确解

将非线性微分方程的独立通解法推广到差分方程,给出了一类非线性差分方程的精确解,该精确解是由若干个独立通解共同构成,且独立通解的个数与差分方程的次数n无关.     

二阶变系数多时滞非线性中立型差分方程的有界振动性

研究一类具有变系数的二阶非线性中立型差分方程,利用Banach空间的压缩映象原理和一些分析技巧,得到这类方程存在有界的最终正解的判别准则,并同时得出该类方程振动的几个判别依据,推广了现有文献中的某些结果．     

基于分圆类方法的差集偶构造

利用分圆类的方法构造了Z2q(q=ef+1为素数幂,e=2或4)上,参数为(4f+2,2f+1,2f,f,f),(8f+2,4f+1,4f,2f,2f),(8f+2,4f+1,2f,f,f),(4f+1,2f,2f,0,f)的差集偶.     

Methane emissions from terrestrial plants over China and their effects on methane concentrations in lower troposphere

Methane (CH₄) is the most important greenhouse gas and reactive trace gas in the atmosphere. Recently, it has been reported that terrestrial plants can emit CH₄ under aerobic conditions, which may call for reevaluation of the inventory of CH₄ emissions in China. In this paper, those emissions over China and their effects on CH₄ concentrations in lower troposphere were investigated. Firstly, based on the work of Keppler et al., the aerobic plant CH₄ emission model (PLANTCH4) for China was established. And by using the database of normalized difference vegetation index (NDVI) derived from NOAA/AVHRR, the distribution of net primary productivity (NPP) over China was simulated, and thereby, for the first time, the amount and distribution of the newly identified source in China were estimated. Secondly, with the aid of the three-dimensional atmospheric chemistry model system (MM5-CALGRID), the effects of the emissions were studied. The results show that the annual aerobic plant CH4 emissions over China amount to 11.83 Tg, i.e. nearly 24% of Chinese total CH₄ emissions. And the major fraction (about 43%) comes from forests. When those emissions are considered in modeling, computed countrywide mean surface concentration of CH₄ is 29.9% higher than without them, with a maximum increase of 69.61 μg·m⁻³ in the south of Yunnan Province. In conclusion, to study CH₄ emissions from terrestrial plants over China may have important implications for correctly estimating the contribution of China to global CH₄ budget, and may call for a reconsideration of the role of CH₄ in global and regional environment and climate change. Supported by National High-Tech Research & Development Program of China (Grant No. 2006AA06A307), National Basic Research Program of China (Grant Nos. 2006CB403706 and 2006CB403703), and the Program for New Century Excellent Talents in University, and Nanjing University Talent Development Foundation     

一类非线性泛函差分方程周期正解的多解性

利用Legett—Williams不动点定理对一类非线性泛函差分方程多个周期正解的存在性进行了讨论,得到该问题3个周期正解的充分条件．     

独生子女与非独生子女孝道差异的初步研究

采用IAT范式探索内隐孝道,同时用杨国枢的孝道个人意愿量表来测量其外显孝道,从内隐和外显两方面初步考察当代大学生中独生子女与非独生子女的孝道差异．结果显示：（1）独生子女的外显孝道与非独生子女没有显著差异,而内隐孝道比非独生子女积极;（2）在外显测量中女性比男性表现得更为孝顺,且差异显著,而内隐孝道没有显著差异：（3）孝道存在内隐孝道和外显孝道两个独立的结构．     

一类中立型差分方程的正周期解

利用不动点定理研究了一类中立型差分方程正周期解的存在性,得到了方程正周期解存在的新的充分条件,推广和改进了有关文献的结果.     

一类四阶差分方程解的一个存在定理

利用拓扑度理论讨论一类四阶差分方程边值问题解的存在性,得到该问题解的一个存在定理及其存在正解的充分条件.