ON THE EQUIVALENCE OF DIFFERENTIAL EQUATIONS

Zhengxin Zhou; Richang Tai; Fei Wang; Shuying Zong

doi:10.11948/2014004

2014 Volume 4 Issue 1

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Zhengxin Zhou, Richang Tai, Fei Wang, Shuying Zong. ON THE EQUIVALENCE OF DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2014, 4(1): 103-114. doi: 10.11948/2014004

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Zhengxin Zhou, Richang Tai, Fei Wang, Shuying Zong. ON THE EQUIVALENCE OF DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2014, 4(1): 103-114. doi: 10.11948/2014004

ON THE EQUIVALENCE OF DIFFERENTIAL EQUATIONS

School of Mathematical Sciences, Yangzhou University, Yangzhou, 225002, China

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Abstract

Abstract

In this article 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.
- Polynomial equation /
- reflective function /
- equivalence /
- periodic solution
MSC: 34A12

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