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Periodic solutions and bifurcations of first-order periodic impulsive differential equations. (English) Zbl 1175.34054
Summary: We use the method of displacement functions to study the existence, stability and bifurcation of periodic solutions of scalar periodic impulsive differential equations. We obtain some new and interesting results on saddle-node bifurcations and double-period bifurcations of periodic solutions.
MSC:
34C25Periodic solutions of ODE
34C23Bifurcation (ODE)
34A37Differential equations with impulses
34D20Stability of ODE