On the first integral and equivalence of nonlinear differential equations

Zhengxin Zhou

Applied Mathematics and Computation, 2015, vol. 268, issue C, 295-302

Abstract: In this paper, we study the equivalence of several different types of differential systems and provide a new method to find out the first integral of such differential systems. We draw some sufficient conditions for a general time-varying nonlinear differential system to be equivalent to a given differential system. We use the obtained results to discuss the qualitative behavior of the periodic solutions of such time-varying differential systems and get some interesting conclusions.

Keywords: Equivalence; Reflecting function; The first integral; Time-varying; Nonlinear system (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:295-302

DOI: 10.1016/j.amc.2015.06.065

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