摘要
在这篇文章里，我们证明了ｎ阶线性常微分方程在变换Ｔ＝（ｔ）与交换ｘ＝ｕ（ｔ）ｙ下分别有ｎ—１个不变量，并对后一情形给出了不变量的具体表述式．最后，我们还利用这些不变量研究了（１）的解的非振动性等问题．
In this paper, we show that a general linear ordinary differential equation of order n under either the transformation T = (t) or the linear transformation x = U(t)y possesses in eaCh of the two cases exactly n -1 invariats. For the latter case, we also write out the explicit expressions of the n - 1 invariants. Particularly, we can use this invariats to study the nonoscillatory character of the solution of a special equation (1) of order 2.
出处
《数学进展》
CSCD
北大核心
1996年第1期71-76,共6页
Advances in Mathematics（China）
