
handle: 11104/0134919
Summary: 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.
transformation, Linear ordinary differential equations and systems, Brandt and Ehresmann groupoids, General theory of functional-differential equations, transformations, Brandt groupoid, functional differential equation, differential equation, canonical form, canonical forms, Ehresmann groupoid, Transformation and reduction of ordinary differential equations and systems, normal forms, Abel functional equation
transformation, Linear ordinary differential equations and systems, Brandt and Ehresmann groupoids, General theory of functional-differential equations, transformations, Brandt groupoid, functional differential equation, differential equation, canonical form, canonical forms, Ehresmann groupoid, Transformation and reduction of ordinary differential equations and systems, normal forms, Abel functional equation
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