三阶时滞泛函微分方程解的渐近性

本文讨论一类三阶时滞泛函微分方程解的渐近性质,给出了若干解的有界性及解趋于零的判定准则.     

混合变元中立型微分方程的解的振动准则：献给李森林教授八十寿辰

本文得到了两类混合变元中立型微分方程的解的某些新的振动准则,大大改进了〔[5,7-9〕的结果.并推出了变系数的混合中立型方程.     

超临界增长椭圆方程组广义解的正则性

In this paper, the author proved the partial regularity of the generalized solutions of the super critical growth elliptic system. Furthermore, the everywhere regularity of generalized solutions of three special systems are obtained.     

牵引犁受力分析的解析方法

分析了牵引犁受力图解法求解所存在的问题，用解析方法建立了牵引犁受力的矩阵方程组并利用计算机进行了求解，预测了各结构参数变化对机组受力工况的影响，从而为牵引犁机组的合理配置和各部件结构的强度计算和优化设计提供了理论依据。     

非线性方程组拟牛顿法中线性搜索的一种改进

改进了Ｇｒｉｅｗａｎｋ（１９８６）提出了关于求解非线性方程组的一种线性搜索方式。在理论上保证了线性搜索的实现,使得算法是适定的,而且,在改进的线性搜索条件下,Ｂｒｏｙｄｅｎ算法仍具有全局收敛性和局部超线性收敛性。     

Modelling Plant Disease Epidemics

An epidemic is the progress of disease in time and space. Each epidemic has a structure whose temporal dynamics and spatial patterns are jointly determined by the pathosystem characteristics and environmental conditions. One of the important objectives in epidemiology is to understand such spatio-temporal dynamics via mathematical and statistical modelling. In this paper, we outline common methodologies that are used to quantify and model spatio-temporal dynamics of plant diseases, with emphasis on developing temporal forecast models and on quantifying spatial patterns. Several examples of epidemiological models in cereal crops are described, including one for Fusarium head blight.