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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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