The new method for the searching periodic solutions of periodic differential systems. (English) Zbl 1463.34158
Summary: 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.
MSC:
| 34C25 | Periodic solutions to ordinary differential equations |
| 37C60 | Nonautonomous smooth dynamical systems |
Keywords:
differential equation; periodic solution; boundary value problem; reflecting function; equivalenceReferences:
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