GLOBAL ASYMPTOTIC STABILITY IN N-SPECIES COOPERATIVE SYSTEM WITH TIME DELAYS

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The melatonin rhythm: both a clock and a calendar

The paper briefly reviews the data which shows that the circadian production and secretion of melatonin by the pineal gland can impart both daily, i.e., clock, and seasonal, i.e., calendar, information to the organism. The paper summarizes the 3 patterns of nocturnal melatonin production that have been described. Clearly, regardless of the pattern of nocturnal melatonin production a particular species normally displays, the duration of nightime elevated melatonin is proportional to the duration of the night length. Since daylength under natural conditions changes daily the melatonin rhythm, which adjusts to the photoperiod sends time of year information to the organism. The melatonin receptors which subserve the clock message sent by the pineal gland in the form of a melatonin cycle may reside in the biological clock itself, namely, the suprachiasmatic nuclei (SCN). The melatonin receptors that mediate seasonal changes in reproductive physiology are presumably those that are located on the pars tuberalis cells of the anterior pituitary gland. Besides these receptors which likely mediate clock and calendar information, melatonin receptors have been described in other organs. Interestingly, the distribution of melatonin receptors is highly species-specific. Whereas the clock and calendar information that the melatonin cycle imparts to the organism relies on cell membrane receptors, a fact that is of some interest considering the high lipophilicity of melatonin, recent studies indicate that other functions of melatonin may require no receptor whatsoever.     

一类非光滑最优化信赖域算法

本文把通常的光滑信赖域算法推广到非光滑情形，目标函数仅为局部李普希兹连续，文中子问题的目标函数不必是通常的二次逼近形式。     

周期摄动保守系统的存在性定理

本文利用全局反函数定理讨论了一类非线性边值问题解的存在性与唯一性.     

带有非局部源项的发展方程全局解的不存在性

通过试验函数法,本文讨论了具有形如‖u‖p或‖ Du‖p的非局部源项的发展方程全局解的不存在性.     

基于F-B函数的牛顿法解一般约束优化规划问题

文章给出了一个解决一般约束最优化问题的含调节参数型的牛顿算法.算法有两个重要特征,首先,算法借助Lagrange函数和NcP中的F-B函数,通过构造等价于点条件的线性方程组采处理一般约束优化问题,其次,利用F-B函数的光滑性质,定义了调节参数,从而弱化了K-T点条件.文章在适当的条件下,证明了该算法具有全局收敛性.数值实验表明算法有效.     

一个强耦合系统的整体吸引子的存在性

考虑一个强耦合抛物系统的初边值问题,通过利用抛物方程解的先验估计的技巧以及微分-积分不等式,给出了这个系统解的整体吸引子的存在性.     

具有非凸条件的单个守恒律初边值问题整体弱熵解的结构

在流函数具有有限个拐点,初始值为两段常数和边界值为常数的条件下,研究非凸单个守恒律的初边值问题整体弱熵解的结构、初等波与边界的相互作用情况以及弱熵解在边界附近的性态.     

基于代数变换求解P0阵线性互补问题的不可行内点算法

基于代数变换和KMM算法的框架,通过在牛顿方程中嵌入一种自调节功能,提出了一种新的求解P0阵线性互补问题的不可行内点算法,并证明了该算法的全局收敛性.     

全球变化背景下的几个科技名词

随着人们对全球变化（global change）的关注和研究，这一领域出现了很多科技名词，对这些名词进行统一定名、合理释义非常必要。文章结合国际上全球变化问题的研究进展分析了几个典型名词。