Abstract and Applied Analysis

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

Zhengxin Zhou

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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


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