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Periodic solutions of the hybrid system with small parameter

Akhmet, Marat
Buyukadali, C.
Ergenc, T.
In this paper we investigate the existence and stability of the periodic solutions of a quasilinear differential equation with piecewise constant argument. The continuous and differentiable dependence of the solutions on the parameter and the initial value is considered. A new Gronwall-Bellman type lemma is proved. Appropriate examples are constructed.