论文标题
关于自然不变和差分操作员的等效性
On natural invariants and equivalence of differential operators
论文作者
论文摘要
我们对一类订单的非线性差异操作员$ k \ ge 2 $的类别的理性自然差异不变性领域进行了描述。 在尺寸$ n \ ge 2 $的平滑歧管上,并将其应用于此类运营商的等效问题。
We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of order $k\ge 2$ on a smooth manifold of dimension $n\ge 2$ and show their application to the equivalence problem of such operators.