一类变系数非线性Schrodinger方程的对称群分类和容许变换

从对称群和容许变换的角度讨论一类变系数非线性Schrodinger方程,给出所考察方程的非平凡点对称群。     

酵母菌立体专一性还原的研究

微生物可应用于不对称合成中,微生物法具有光学纯度高,环境污染少,成本低等优点,对一些具有生物活性的化合物的合成具有独到的作用。探讨了微生物中的酶在β－酮酸酯立体专一性还原反应中的作用机理。     

不分明化拓扑线性空间

给出了不分明化拓扑线性空间的定义,讨论了此类拓扑线性空间的平衡零元邻域系的结构和性质。     

n-1维球面上Laplace算子第一特征值的性质

设n维欧氏空间中超平面L1与n-1维单位球面交于圆Γ1,Γ2为Sn-1中的满足一定条件的n-2维光滑流形,Γ1,Γ2不相交,所有Γ1和Γ2之间单位球面上的点构成Sn-1中的环面.本文利用移动平面法,得到若Γ1由环面大侧向小侧旋转,环面上满足Dirichlet边界条件的Laplace算子的第一特征值逐渐减小.本文将Γ2推...     

采样控制系统的稳定性分析新方法

针对采样控制系统的渐近稳定性问题.结合整个采样间隔[tk,tk+1)的特征信息和Ⅳ阶B-L (Bessel-Legendre)不等式,首次提出一个Ⅳ-相关的双边闭环L-K (Lyapunov-Krasovskii)泛函.利用N阶B-L不等式估计L-K泛函的导数,建立了采样控制系统的渐近稳定性新条件.最后通过2个数值算例...     

Rellich type inequalities related to Grushin type operator and Greiner type operator

We prove some sharp Hardy inequality associated with the gradient ? _?? = (? _x ,|x| ^?? ? _y ) by a direct and simple approach. Moreover, similar method is applied to obtain some weighted sharp Rellich inequality related to the Grushin operator in the setting of L ^p . We also get some weighted Hardy and Rellich type inequalities related to a class of Greiner type operators.     

On the Rayleigh-Plateau instability

In this paper,we study the surface instability of a cylindrical pore in the absence of stress. This instability is called the Rayleigh-Plateau instabilty. We consider the model developed by Spencer et ...     

逆极限的不变测度和一致正熵性质

In this paper, the interconnection of some ergodic properties between a continuous selfmap and its inverse limit is studied. It has been proved that (1) their invariant Borel probability measures are identical up to homeomorphism and (2) they preserve uniform positive entropy property simuitaneously. As applications, it is also proved that the upper semi-continu-ous properties of their entropy maps are restricted each other, and the entropy map of the asymptotically h-expansive continuous map is upper semi-contlnuous, at the same time a continuous map having u, p.e. is topological weakmixing.