Periodic Solutions of Certain Differential Equations with Piecewise Constant Argument

Abstract EN

Existence criteria are derived for the eventually periodic solutions of a class of differential equations with piecewise constant argument whose solutions at consecutive integers satisfy nonlinear recurrence relations.

The proof characterizes the initial values of periodic solutions in terms of the coefficients of the resulting difference equations.

Sufficient conditions for the unboundedness, boundedness, and symmetry of general solutions also follow from the corresponding properties of the differenceequations.