Transformation Method for Generating Periodic Solutions of Abel’s Differential Equation-Reference-Cited by-同舟云学术

Transformation Method for Generating Periodic Solutions of Abel’s Differential Equation

Published:2019-04-02 Issue: Volume:2019 Page:1-10
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Hua Ni¹^ORCID

Affiliation:

1. Faculty of Science, Jiangsu University, Jiangsu, Zhenjiang, 212013, China

Abstract

This paper deals with Abel’s differential equation. We suppose that r=r(t) is a periodic particular solution of Abel’s differential equation and, then, by means of the transformation method and the fixed point theory, present an alternative method of generating the other periodic solutions of Abel’s differential equation.

Funder

Senior Talent Foundation of Jiangsu University

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2019/3582142.pdf

Reference19 articles.

1. On two coupled Abel-type differential equations arising in a magnetostatic problem

2. Exact Causal Viscous Cosmologies

3. Two‐dimensional dynamical system associated with Abel’s nonlinear differential equation

4. Nonlinear superposition rule for Abel's equation

5. The nonlinear superposition theorem of Lie and Abel’s differential equations

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