【摘要】 考虑由两个实值非奇异矩阵,一个对称,一个反对称,所定义的2n个一阶常微分方程刻画的陀螺系统特征值反问题。在给定完整谱数据及部分谱数据两种情况下,给出了可解性条件及解的表示。更多还原

【Abstract】 An inverse eigenvalue problem of the gyroscopic systems is concerned,which is described by 2n first-order ordinary differential equations and defined by two real nonsingular matrices,one symmetric and one skew-symmetric.The solvability conditions for the inverse problem are obtained when complete or partial information about the eigenvalue and the eigenvector is given.The expression of the solution to the problem is also presented.更多还原