On the Equivalence of Differential Equations in the Sense of Coincidence Reflecting Functions-Reference-Cited by-同舟云学术

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

Published:2015 Issue: Volume:2015 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Zhou Zhengxin¹

Affiliation:

1. School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2015/456364.pdf

Reference13 articles.

1. Cubic Systems and Abel Equations

2. On the number of solutions of the equation $$\frac{{dx}}{{dt}} = \sum\limits_{j = 0}^n {a_j (t) x^j ,0 \leqq t \leqq 1,} $$ for whichx(0)=x(1)

3. Some New Results on Abel Equations

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