线性Fredholm积分方程的近似解法

用巴拿赫压缩映射原理导出Ｆｒｅｄｈｏｌｍ方程的解。     

浅谈梁氏变换的完备性：与梁尺峰先生商榷

梁氏变换下的非瞬时尺缩效应公式是不正确的，梁氏变换下，加速系仍然不是单一的体系，梁氏力学公式不可能是精确的公式。梁氏变换允许超光速体系存在，这又导致“信号的最大传递速度为光速”的假定失去意义。     

Cardiac and circulatory control in decapod Crustacea with comparisons to molluscs

Summary In this review I will attempt to identify the circulatory requirements a decapod is likely to encounter and how the heart is controlled to meet these demands. The decapod heart has been designed as an autonomous system endowed with an intrinsic autorhythmic pacemaker ganglion. Muscle fibers are multiply-innervated and capable of producing regenerative action potentials. This vitally important organ has been designed to be nearly fail-safe. Stroke volume is more important than heart rate in determining cardiac output. Stretch sensitivity of the cardiac ganglion and of the myocardium as well as extrinsic nervous and hormonal modulation of the heart can all contribute to changes in stroke volume. It may be advantageous to an animal to switch the circulation between various vascular beds to meet changing perfusion demands. Neuronal and hormonal mechanisms have been identified which exert differential control of the cardioarterial valves, but it is not known whether switching does occur and if so whether these valves participate in the process. Changes in peripheral resistance can also redirect circulatory flow. The circulatory and ventilatory systems demonstrate coordinated rate changes which suggest that the heart is responding to meet changing ventilatory performance requirements. This coupling is controlled both by the hydrostatic pressure pulses generated within the branchial chambers and by common higher level nervous inputs. Comparisons of the cardiovascular systems of crustaceans and molluscs, based on the papers presented at this symposium, are high-lighted.     

用拉格朗日中值逼近柯西中值的尝试

在提出柯西定理的等价命题及其几何意义的同时，给出了一个由f(x）及F(x)的拉格朗日中值套缩而成的区间套，并最终在这个区间套内实现了由拉格朗日中值对柯西中值的逼近。     

可缩算子的不变概率测度

设T是复的可分Banach空间X上的一个可缩算子，若存在关于T不变的平方可积的概率测度m且m的支集张成X．那么T的幺模特征向量全体所张成X．     

Gene Product Expression of Cyclin D2 and p16 During the Transition from Cardiac Myocyte Hyperplasia to Hypertrophy

The current study was to investigate mRNA expression of cyclin D2 and p16 during the transition from cardiac myocyte hyperplasia to hypertrophy. Cultured cardiac myocytes (CM) and fibroblasts (FC) obtained from 1-day-old Sparague-Dawley rats were used in this study. We have determined (1) hyperplasia by cell growth curve and fluorescence activated cell sorting (FACS); and (2) ultrastructure by electron microscope observation; and (3) expressions of cyclin D2 mRNA and p16 mRNA by using in situ hybridization and image analysis. The results were shown (1) Results of cell growth curve and FACS analysis showed CM could proliferate in the first 3 cultured days (4 days in postnatal development). But the ability decreased quickly, concomitant with the differentiation. (2) The ultrastructure of CM showed the large amount of myofilaments and mitochondrion and FC showed moderate amount of rough endoplasmic reticulum. (3) The expression of cyclin D2 mRNA in 3-, 4-, 5-day CM group was 0.89 times(p<0.05), 0.80 times (p<0.05)and 0.56 times (p<0.01)of that in 1-day group respectively. P16 mRNA in 2-, 3-, 4-, 5-day CM group were 1.63 times(p<0.01),1.72 times(p<0.01),1.99 times (p<0.01)and 2.84 times (p<0.01) of that in 1-day group respectively. It can be concluded that cultured neonatal rat cardiac myocytes could proliferate during the first 3 cultured days, but the ability of proliferation decreased, from the fourth day, concomitant with differentiation. Cyclin D2 and p16 have the key roles during the transition from myocyte hyperplasia to hypertrophy.     

地形图法在体表子宫肌电信号监测中的应用

将地形图方法应用于体表子宫电信号监测,为此领域提供了新的分析和显示处理方式．此方法是在借鉴脑电分析中地形图方法的基础上,通过建立模型加以实现的．临床测量结果表明,此方法与传统方法相比,具有清晰、直观的优点,特别是能够清晰地显现宫缩收缩的协调性,为临床的产程监护和医学研究提供了一种有力的手段．     

具有两类修复设备的可修系统解的分析

介绍了一个可修系统的数学模型,且系统的修复时间是任意分布的.运用Banach空间下的算子半群理论,得出了系统具有唯一非负时间依赖弱解.     

极限2-周期连分式的一种新算法

加速收敛在连分式理论中占有重要的地位,对连分式进行加速收敛最常用的方法是选择合适的修正因子。如果连分式是极限k-周期的,则修正因子序列也应是k-周期的,这就使对于k≥2的周期连分式其修正因子的选取较为困难;文章借助了连分式的压缩技术,针对极限2-周期连分式推导出一种新算法,使修正因子的选取变得简单;数值例子表明新算法使连分式的收敛更快、精度更高。     

一类脉冲非齐次系统的周期解

研究一类脉冲非齐次强迫振动的周期解,结合运用压缩映射原理,给出保证系统存在周期解的一组充分条件．