一类多时滞的向量差分方程的渐近稳定性（英文）

本文讨论了一类具有时滞的差分方程的渐近稳定性。利用矩阵性质和不等式技巧给出了该类方程渐近稳定的充要条件。     

守恒型常微分方程的二次B样条有限元解法

首先介绍二次B样条的概念和基本性质,然后讨论了守恒型常微分方程Ly(x):=-(p(x)u’)’+q(x)u=f(x)两点边值问题的二次B样条有限元方法,并结合一个数值实例加以说明。     

广义Burgers-Fisher方程的新孤波解

通过构造新的Riccati方程,推广了Riccati方法,使其具有简洁的形式,丰富和发展了已有的结果,借助Mathematiea软件,进一步获得了广义Burgers-Fisher方程的一些新的孤波解．     

Classification of Physical Activity Cut-Points and the Estimation of Energy Expenditure During Walking Using the GT3X+ Accelerometer in Overweight and Obese Adults

This study establishes tri-axial activity count (AC) cut-points for the GT3X+ accelerometer to classify physical activity intensity in overweight and obese adults. Further, we examined the accuracy of established and novel energy expenditure (EE) prediction equations based on AC and other metrics. Part 1: Twenty overweight or obese adults completed a 30 minute incremental treadmill walking protocol. Heart rate (HR), EE, and AC were measured using the GT3X+ accelerometer. Part 2: Ten overweight and obese adults conducted a self-paced external walk during which EE, AC, and HR were measured. Established equations (Freedson et al., 1998; Sasaki et al., 2011) overestimated EE by 40% and 31%, respectively (p < .01). Novel gender-specific prediction equations provided good estimates of EE during treadmill and outdoor walking (standard error of the estimate = .91 and .65, respectively). We propose new cut-points and prediction equations to estimate EE using the GT3X+ tri-axial accelerometer in overweight and obese adults.     

线性代数中的几个知识点逆向问题的研究

本文就线性代数中几个重要知识点:线性变换、线性方程组的解、矩阵对角化等的逆向问题进行研究.     

具有调和势和耗散非线性项的薛定谔方程局部解

利用调和分析方法讨论具有调和势和耗散非线性项的薛定谔方程柯西问题局部解的存在性,并发现局部解与耗散项系数的大小有关.     

矩阵在解线性方程组中的应用

线性方程组的求解是代数学中一个比较重要的内容,线性方程组求解过程中,掌握各种求解线性方程组的方法是至关重要的。基于线性方程组和矩阵之间的联系,可以用线性方程组系数和常数项所构成的行列式矩阵来研究线性方程组的求解问题。本文主要讨论矩阵的秩在方程组的解的判断中的应用以及线性方程求解中如何应用矩阵的初等变换。