Ordinary differential equations and their exponentials-Reference-Cited by-同舟云学术

Ordinary differential equations and their exponentials

Published:2006-03-01 Issue:1 Volume:4 Page:64-81
ISSN:2391-5455
Container-title:Open Mathematics
language:
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Author:

Kock Anders¹,Reyes Gonzalo²

Affiliation:

1. 1University of Aarhus

2. 2Université de Montréal

Abstract

AbstractIn the context of Synthetic Differential Geometry, we discuss vector fields/ordinary differential equations as actions; in particular, we exploit function space formation (exponential spaces) in the category of actions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/math/4/1/article-p64.xml

Reference10 articles.

1. M. Bunge and E. Dubuc: “Local Concepts in Synthetic Differential Geometry and Germ Representability”, In: D.W. Kueker, E.G.K. Lopez-Escobar and C.H. Smith (Eds.): Mathematical Logic and Theoretical Computer Science, Marcel Dekker Inc., 1987, pp. 93–159.

2. C. Godbillon: Géométrie Différentielle et Mécanique Analytique, Hermann, Paris, 1969.

3. A. Kock: Synthetic Differential Geometry, Cambridge University Press, 1981.

4. A. Kock and G.E. Reyes: “Aspects of Fractional Exponents”, Theor. Appl. Categories, Vol. 5(10), (1999).

5. A. Kock and G.E. Reyes: “Some calculus with extensive quantities; wave equation”, Theor. Appl. Categories, Vol. 11(14), (2003).

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