## Abstract and Applied Analysis

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

Zhengxin Zhou

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2015 (2015), Article ID 456364, 8 pages.

Dates
First available in Project Euclid: 15 June 2015

https://projecteuclid.org/euclid.aaa/1434398151

Digital Object Identifier
doi:10.1155/2015/456364

Mathematical Reviews number (MathSciNet)
MR3344619

Zentralblatt MATH identifier
1355.34073

#### Citation

Zhou, Zhengxin. On the Equivalence of Differential Equations in the Sense of Coincidence Reflecting Functions. Abstr. Appl. Anal. 2015 (2015), Article ID 456364, 8 pages. doi:10.1155/2015/456364. https://projecteuclid.org/euclid.aaa/1434398151

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