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Mathematica Bohemica
Article . 2006 . Peer-reviewed
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zbMATH Open
Article . 2006
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Coordinate description of analytic relations

Authors: Neuman, F. (František);

Coordinate description of analytic relations

Abstract

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.

Country
Czech Republic
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Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
Published in a Diamond OA journal