17 citations · 42 across the 8 of their papers we have counts for
10 papers
Differential invariants and equivalence of ODEs
Valeriy A. Yumaguzhin
This paper is devoted to ordinary differential equations of the form The algebra of all differential invariants of point trans…
On invariants and equivalence of differential operators under Lie pseudogroups actions
Valentin Lychagin, Valeriy Yumaguzhin
In this paper, we study invariants of linear differential operators with respect to algebraic Lie pseudogroups. Then we use these invariants and the principle of n-invariants to ge…
On natural invariants and equivalence of differential operators
Valentin Lychagin, Valeriy Yumaguzhin
We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of order on a smooth manifold of dimension $…
Natural differential invariants and equivalence of third order nonlinear differential operators
Valentin Lychagin, Valeriy Yumaguzhin
We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of the third order on a two dimensional manifold and…
Invariants of forth order linear differential operators
Valentin Lychagin, Valeriy Yumaguzhin
In this paper, we study scalar the forth order linear differential operators over an oriented 2-dimensional manifold. We investigate differential invariants of these operators and…
On structure of linear differential operators, acting in line bundles
Valentin Lychagin, Valeriy Yumaguzhin
We study differential invariants of linear differential operators and use them to find conditions for equivalence of differential operators acting in line bundles over smooth manif…