ON THE EQUIVALENCE OF TWO DIFFERENTIAL EQUATIONS BY MEANS OF REFLECTING FUNCTIONS COINCIDING

Zhengxin Zhou; Yuexin Yan

doi:10.11948/2018.549

2018 Volume 8 Issue 2

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Zhengxin Zhou, Yuexin Yan. ON THE EQUIVALENCE OF TWO DIFFERENTIAL EQUATIONS BY MEANS OF REFLECTING FUNCTIONS COINCIDING[J]. Journal of Applied Analysis & Computation, 2018, 8(2): 549-557. doi: 10.11948/2018.549

Citation:

Zhengxin Zhou, Yuexin Yan. ON THE EQUIVALENCE OF TWO DIFFERENTIAL EQUATIONS BY MEANS OF REFLECTING FUNCTIONS COINCIDING[J]. Journal of Applied Analysis & Computation, 2018, 8(2): 549-557. doi: 10.11948/2018.549

ON THE EQUIVALENCE OF TWO DIFFERENTIAL EQUATIONS BY MEANS OF REFLECTING FUNCTIONS COINCIDING

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

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Abstract

Abstract

In this article, we discuss the equivalence of two differential systems by using the method of reflecting functions. We obtain some necessary and sufficient conditions under which certain differential equations are equivalent. Given these results, new types of differential systems equivalent to the given systems can be found. We also discussed the qualitative behavior of the periodic solutions of such differential systems. These results are new, in the sense that they generalize previous discussions on the equivalence of differential systems.
- Reflecting function /
- reflecting integral /
- µ-integral /
- equivalence /
- qualitative behavior
MSC: 34A12;34A34;34C14

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References

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