线性矩阵方程的非奇异解

本文应用分块矩阵的等价标准形讨论了线性矩阵方程Ａ（ｍｘｎ）Ｘ（ｎｘｎ）＝Ｂ（ｍｘｎ）有非奇异解的充分必要条件，并给出了一般解的表达式。

有限推力下相对绕飞轨道的直接形成

提出了一种有限推力下主动航天器在完成轨道转移的同时形成相对目标航天器绕飞的方法。根据以改进春分点轨道根数表示的非奇异轨道摄动方程,用变分方法将问题转化为经典的最优控制,由相对运动动力学获得主动航天器实现绕飞须满足的终端约束条件,再用非线性规划求解。给出了求解模型。理论分析和仿真结果表明,该方法理论上可行,但为减少干扰产生的偏差,还需对绕飞形成过程中的导引率进行研究。

Non-restricted representations of simple Lie superalgebras of special type and Hamiltonian type

Let F be an algebraically closed field of prime characteristic p > 2,and g be a simple Lie superalgebra of special type or Hamiltonian type over F.We construct the simple g-modules with non-singular characters of height more than one,and some simple modules with singular characters of height more than five.Furthermore,for the case of special type Lie superalgebras,we also construct a class of simple modules with regular semisimple characters of height one.All those simple modules mentioned above are proved to be reduced Kac modules.

Strichartz Estimates for Schr(?)dinger Equations with Non-degenerate Coefficients

In the present paper, the full range Strichartz estimates for homogeneous Schroedinger equations with non-degenerate and non-smooth coefficients are proved. For inhomogeneous equation, the non-endpoint Strichartz estimates are also obtained.