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Differential equations with state-dependent piecewise constant argument

2010-06-01
Akhmet, Marat
Buyukadali, C.
A new class of differential equations with state-dependent piecewise constant argument is introduced. It is an extension of systems with piecewise constant argument. Fundamental theoretical results for the equations the existence and uniqueness of solutions, the existence of periodic solutions, and the stability of the zero solution are obtained. Appropriate examples are constructed.