THE NEW METHOD FOR THE SEARCHING PERIODIC SOLUTIONS OF PERIODIC DIFFERENTIAL SYSTEMS

Vladimir Ivanovich Mironenko; Vladimir Vladimirovich Mironenko

doi:10.11948/2016056

2016 Volume 6 Issue 3

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Vladimir Ivanovich Mironenko, Vladimir Vladimirovich Mironenko. THE NEW METHOD FOR THE SEARCHING PERIODIC SOLUTIONS OF PERIODIC DIFFERENTIAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 876-883. doi: 10.11948/2016056

Citation:

Vladimir Ivanovich Mironenko, Vladimir Vladimirovich Mironenko. THE NEW METHOD FOR THE SEARCHING PERIODIC SOLUTIONS OF PERIODIC DIFFERENTIAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 876-883. doi: 10.11948/2016056

THE NEW METHOD FOR THE SEARCHING PERIODIC SOLUTIONS OF PERIODIC DIFFERENTIAL SYSTEMS

Mathematical Department, Gomel State University by F. Scorina, Sovetskaya street, 104, Gomel, 246019, Republic of Belarus

Abstract

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.
- Differential equation /
- periodic solution /
- boundary value problem /
- reflecting function /
- equivalence
MSC: 34A12

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References

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