Canonical forms of ordinary linear differential equations
Categorial approach to global transformations of the -th order linear differential equations
Central projections of a pair of accompanying spaces to a linear two-dimensional space of functions with a continuous first derivative
Characterization of several classes of second-order ODEs by using differential invariants.
Connecting fast-slow systems and Conley index theory via transversality.
Continuous dependence on a parameter of solutions of generalized differential equations
Coordinate description of analytic relations
In this paper we present an algebraic approach that describes the structure of analytic objects in a unified manner in the case when their transformations satisfy certain conditions of categorical character. We demonstrate this approach on examples of functional, differential, and functional differential equations.
Covariant constructions in the theory of linear differential equations