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

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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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Yangzhou University, Yangzhou, China

    Zhengxin Zhou

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  1. Zhengxin Zhou
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Correspondence to Zhengxin Zhou.

Additional information

The work supported by the grants PPZY2015B109 and BK20161327 of Jiangsu of China and the NSF of China under grants 61374010 and 11571301.

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Zhou, Z. On the Structure of the Equivalent Differential Systems and their Reflecting Integrals. Bull Braz Math Soc, New Series 48, 439–447 (2017). https://doi.org/10.1007/s00574-016-0026-4

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  • DOI: https://doi.org/10.1007/s00574-016-0026-4

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