## Abstract and Applied Analysis

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

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

#### 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

**Permanent link to this document**

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