Periodic Solutions of Nonlinear Dynamic Systems with Feedback Control
نویسندگان
چکیده
In this paper, sufficient criteria for the existence of multiple positive periodic solutions of a certain nonlinear dynamic system with feedback control are established. This is done by the Avery–Henderson fixed point theorem and the Leggett– Williams fixed point theorem. By using the method of coincidence degree, sufficient conditions are derived ensuring the existence of at least one periodic solution of a more general nonlinear dynamic system with feedback control on time scales. AMS Subject Classifications: Dynamic equations, periodic solution, nonlinear, feedback control, time scales, fixed point theorem, coincidence degree.
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تاریخ انتشار 2012