论微分中值定理的教学

阐述了对微分中值定理及其教学的认识，分析了微分中值定理的结构，用演绎推理法、坐标旋转法、叠加函数法说明了3定理之间的关系。     

Rolle中值定理应用中等值点的构造

微分中值定理是微积分学中的核心教学内容,而Rolle中值定理是其它微分中值定理的基础定理,在许多中值问题中有广泛的应用.本文着重讨论Rolle中值定理应用中等值点的若干构造技巧,思路简明,目的清晰,操作简单便于学生掌握.     

多元函数中值定理的推广及应用

我们将一元函数的Rolle中值定理与Lagrange中值定理推广到二元函数及多元函数中,并给出了他们的一些应用,与原来的多元函数的中值定理相比,它们具有更直观的几何意义.     

例谈中值定理应用中辅助函数的引入

通过实例分析,探讨在中值定理应用中如何构造辅助函数的问题.以求开阔学生在面对此类问题时的解题思路.     

推广的积分第一中值定理的再改进

研究推广的积分第一中值定理成立的条件,弱化该定理成立应满足的基本要求,并进而得到被积函数连续性替代条件的相关推论.     

一道考研试题的探讨

通过对一道考研试题的探讨,得到一系列有趣的结果,旨在激发学生学习数学的兴趣.培养学生的创新意识和能力.     

Solutions to Boundary Value Problem of Nonlinear Impulsive Differential Equation of Fractional Order

This paper is devoted to study the existence and uniqueness of solutions to a boundary value problem of nonlinear fractional differential equation with impulsive effects. The arguments are based upon Schauder and Banach fixed-point theorems.We improve and generalize the results presented in [B. Ahmad, S. Sivasundaram,Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations, Nonlinear Analysis: Hybrid Systems, 3(2009), 251-258].     

关于随机不稳定性和q-不稳定性定理

研究Ito随机微分系统的随机不稳定性。对Has’minskii的随机不稳定性基本定理的条件作了明显改进,进一步建立了关于q-不稳定性的比较准则。同时还对q-不稳定性判定定理的条件加以减弱使其应用更加方便。     

四维线性微分系统的混沌反控制理论及应用

提出了基于不连续的状态反馈方法,构造一类四维混沌系统的基本定理,实现了类四维简单线性系统的混沌反控制.数值模拟验证了所提出理论的正确性.该理论为混沌系统的构造及其应用提供了理论基础.     

Differential Effects of Left Versus Right Mesial Temporal Lobe Epilepsy on Wechsler Intelligence Factors.

This study investigates the effects of left versus right mesial temporal lobe epilepsy (MTLE) on Wechsler intelligence factors. In the left MTLE group, the Verbal Comprehension (VC) factor score was significantly lower than the Perceptual Organization (PO) factor score, whereas in the right MTLE group, the PO factor score was significantly lower than the VC factor score. The VC factor score was significantly lower for the left than the right MTLE group, whereas the PO factor score was significantly lower for the right than the left MTLE group. Thus, left versus right MTLE was associated with relative deficits in verbal versus nonverbal intelligence, respectively. These findings indicate that lateralized cognitive deficits in unilateral MTLE patients are not limited to the learning-memory domain but include more global intelligence functions. (PsycINFO Database Record (c) 2010 APA, all rights reserved)