Volume 6, Number 3, 2016, Pages 876-883 DOI:10.11948/2016056 |
The New Method for the Searching Periodic Solutions of Periodic Differential Systems |
Vladimir Ivanovich Mironenko,Vladimir Vladimirovich Mironenko |
Keywords:Differential equation, periodic solution, boundary value problem, reflecting function, equivalence. |
Abstract: |
In the paper we are giving the new method for searching periodic solutions of periodic differential systems. For this we construct a differential system with the same Reflecting Function as the Reflecting Function of the given system and with a known periodic solution. Then the initial data of the periodic solutions of this two systems coincide. In such a way the problem of existance periodic solutions goes to the Cauchy problem. |
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