ON THE EQUIVALENCE OF DIFFERENTIAL EQUATIONS

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014Publisher:Wilmington Scientific Publisher, LLCJournal:Journal of Applied Analysis & Computation, volume 4, pages 103-114 (issn: 2156-907X,

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Authors: Zhou, Zhengxin; Tai, Richang; Wang, Fei; Zong, Shuying;

doi: 10.11948/2014004

ON THE EQUIVALENCE OF DIFFERENTIAL EQUATIONS

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Abstract

Summary: We use the reflecting function of Mironenko to study some complicated differential equations which are equivalent to the Riccati equation and some polynomial differential equations. The results are applied to discussion of the qualitative behavior of periodic solutions of these complicated differential equations.

Keywords

polynomial equation, Equivalence and asymptotic equivalence of ordinary differential equations, periodic solution, Periodic solutions to ordinary differential equations, reflective function

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