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On the Structure of the Equivalent Differential Systems and their Reflecting Integrals

On the Structure of the Equivalent Differential Systems and their Reflecting Integrals In this article, I have completely solved this problem: when one differential system is equivalent to a given differential system, what structure does this system and its reflecting integral have? At the same time, I have established the relationship between the reflecting integrals and the first integrals and integrating factors of the differential equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

On the Structure of the Equivalent Differential Systems and their Reflecting Integrals

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References (17)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-016-0026-4
Publisher site
See Article on Publisher Site

Abstract

In this article, I have completely solved this problem: when one differential system is equivalent to a given differential system, what structure does this system and its reflecting integral have? At the same time, I have established the relationship between the reflecting integrals and the first integrals and integrating factors of the differential equations.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Dec 26, 2016

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