Volume no :53, Issue no: 1, September (2018)

AN ACH METHOD FOR SOLVING THE PERIODICITY PROBLEM OF A CLASS OF DIFFERENTIAL EQUATIONS

Author's: Menglong Su and Genghua Jia
Pages: [1] - [11]
Received Date: July 31, 2018; Revised August 20, 2018
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121989

Abstract

In this paper, using the idea of the aggregate function method, an ACH method is proposed to solve the periodicity problem of a class of differential equations. Under suitable conditions, we give a constructive proof the existence of the periodic solutions. Following the solution path, we can find the periodic solution via the reduced predictor-corrector algorithm by the ACH method.

Keywords

ACH method, constructive proof, periodic solutions.