研究了三阶Poincaré差分方程解的渐近性质。这种差分方程对应的常系数线性差分方程的特征方程有重根。

We studied the asymptotic behavior of solutions to third order Poincaré difference equation whose characteristic equation has multiple roots.

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分别应用根树、B -级数理论、P -根树、P -级数理论推导方法的阶条件。

We use theory of trees, B-series, P-trees and P-series to deduce the order conditions of the methods constructed.

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该文还阐明了对二阶对称张量成立的关于特征方程的重根与重向的一些结论对非对称二阶张量不一定成立。

The paper illustrates the conclusions about the multiple root of characteristic equation and characteristic vector which fit symmetric tensor of rank two may unfit unsymmetric tensor.

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