A CONSTRUCTIVE PROOF OF THE EXISTENCE OF THE PERIODIC SOLUTION OF THE PERIODICITY PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS VIA A NON-INTERIOR POINT ENTROPY CONTINUATION METHOD
In this paper, by applying appropriate perturbations to the constrained functions, we develop a non-interior point entropy continuation method, and hence give a constructive proof of the existence of the periodic solution of the periodicity problems of ordinary differential equations. With this new approach, we are able to select initial points more easily than before.
appropriate perturbations, ordinary differential equations, periodic solution.