Coordinate description of analytic relations

František Neuman

Mathematica Bohemica (2006)

  • Volume: 131, Issue: 2, page 197-210
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Neuman, František. "Coordinate description of analytic relations." Mathematica Bohemica 131.2 (2006): 197-210. <http://eudml.org/doc/249920>.

@article{Neuman2006,
abstract = {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.},
author = {Neuman, František},
journal = {Mathematica Bohemica},
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},
language = {eng},
number = {2},
pages = {197-210},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Coordinate description of analytic relations},
url = {http://eudml.org/doc/249920},
volume = {131},
year = {2006},
}

TY - JOUR
AU - Neuman, František
TI - Coordinate description of analytic relations
JO - Mathematica Bohemica
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 131
IS - 2
SP - 197
EP - 210
AB - 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.
LA - eng
KW - 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
UR - http://eudml.org/doc/249920
ER -

References

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