Far East Journal of Dynamical Systems
Volume 28, Issue 2, Pages 89 - 99
(June 2016) http://dx.doi.org/10.17654/DS028020089 |
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A CONSTRUCTIVE PROOF OF EXISTENCE OF THE PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS VIA A NON-INTERIOR PATH ALGORITHM
Menglong Su and Qingqing Liu
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Abstract: This paper deals with the problems of finding periodic solutions for a class of differential equations. Under suitable conditions, we give a constructive proof of the existence of a smooth path connecting the solutions of periodicity problems of differential equations to a given point. Following this path can lead to a globally convergent algorithm. Compared with the previous results in the literature, we can select initial points without satisfying the equality constraints. This point may improve the computational efficiency of the algorithm greatly. |
Keywords and phrases: periodicity problems, differential equations, computational efficiency. |
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