广义(3+1)维KPB方程的对称约化、精确解和守恒律

运用李对称方法得到了(3+1)维Kadomtsev Petviashvili Boussinesq(KPB)方程的对称和约化方程。进而,利用齐次平衡原理和椭圆函数方法得到了方程的精确解。最后,给出了该方程的守恒律。     

一类可积的Riccati型方程

利用齐次微分方程变换u=y/x，给出一类可积的Riccati型方程。     

关于“广义Zakharov方程的有限差分方法”一文的注解

用熟知的微分中值问题和积分中值定理对“广义Zakharov方程的有限差分方法”一文差分格式收敛性分析中的 3个关键不等式的证明进行了简化同时减弱了条件 .     

关于矢量的定义以及矢量分析在平面矢场一的些应用(下)

本文从数学史角度研究矢量的定义,以及矢量分析在平面夫场上的一些应用。其次,对于应用狄利克雷原理在求解拉普拉斯方程给出一些有关历史评注。     

具有正负系数差分方程解的振动性

考虑一类具有正负系数的差分方程,获得它的所有解振动的充分条件．     

中立型方程正解的存在性

本文用初等方法得到了一类中立型微分方程正解存在的充要条件.     

Decomposing trait and state variability in general and specific subjective task value beliefs

Expectancy-value researchers have theorized about the extent to which subjective task value components are more trait-like or more state-like. Using a bifactor representation of subjective task value data, the current study aimed to examine the degree of trait-state variation in general subjective task value, specific attainment value, specific intrinsic value, and specific utility value. The relations of both between and within components of the subjective task value constructs with academic self-efficacy beliefs were also examined. Results indicate that, in an undergraduate life science learning context (n = 169), the general subjective task value factor was the most trait-like of the subjective task value constructs. With respect to specific value beliefs, attainment value was composed of nearly equal amounts of trait and state variation, intrinsic value was composed of the largest amount of trait variation, and utility value exhibited the most state-like variation. Additionally, findings suggest that trait-like and state-like general subjective task value, trait-like specific intrinsic value, and state-like attainment value were positively associated with self-efficacy. Finally, we propose a model of trait- state dynamics in subjective task value.     

粘弹性阻尼对非线性弹性杆内纵向应变孤波运动的影响

本文采用基于KdV方程的守恒量建立起来的孤波参数的演化方程组,重新研究了粘弹性阻尼对非线性弹性杆内纵向应变孤波运动的影响,得到了孤波参数的演化规律。结果表明,粘弹性阻尼使孤波逐渐变矮、增宽、速度减慢,最后导致孤波的消失。     

Research on Acoustical Environment Planning of Harbour Cities

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复势Schrdinger方程的均匀化

给出了具有复势Ｓｃｈｒｏｄｉｎｇｅｒ方程的解的存在和唯一性，并证明了它的均匀化理论