On the Equivalence of Differential Equations in the Sense of Coincidence Reflecting Functions
Zhengxin Zhou
Abstract and Applied Analysis, 2015, vol. 2015, 1-8
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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:456364
DOI: 10.1155/2015/456364
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