Article
MSC:
20L05,
34A30,
34C20,
34K05,
39B22,
39B72 | MR 2242845 | Zbl 1116.34006 | DOI: 10.21136/MB.2006.134091
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Keywords:
canonical form; Brandt groupoid; Ehresmann groupoid; transformation; differential equation; Abel functional equation; functional differential equation
canonical form; Brandt groupoid; Ehresmann groupoid; transformation; differential equation; Abel functional equation; functional differential equation
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.
References:
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