On the Equivalence of Differential Equations in the Sense of Coincidence Reflecting Functions

Zhengxin Zhou

Abstract and Applied Analysis, 2015, vol. 2015, issue 1

Abstract: We use a new method for constructing some differential equations which are equivalent to a given equation in the sense of having the same reflecting function. We completely solve the problem: when is a polynomial differential equation equivalent to a given polynomial differential equation? Many sufficient conditions have been established for one differential equation to be equivalent to a given differential equation. We apply the obtained results to study the boundary value problem of two equivalent differential equations.

Date: 2015
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https://doi.org/10.1155/2015/456364

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:456364

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