Volume no :38, Issue no: 1, March

Journal of Mathematical Sciences: Advances and Applications

EXISTENCE OF A NON-INTERIOR PATH TO THE PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS

Author's: Menglong Su and Jianhua Li
Pages: [73] - [82]
Received Date: May 23, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121634

Abstract

In this paper, we find the periodic solutions of a class of periodicity problems via a globally convergent algorithm. Compared with the previous results in the literature, in this paper, we apply appropriate perturbations to the equality as well as inequality constraint functions and thereby are capable of choosing initial points more easily than before.

Keywords

periodic solutions, appropriate perturbations, initial points.