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This work deals with the existence of an almost periodic solution for certainkind of differential equations with generalized piecewise constant argument,almost periodic coefficients which are seen as a perturbation of a linearequation of that kind satisfying an exponential dichotomy on a differenceequation. The stability of that solution in a semi-axis studied.

Existence and Stability of Almost Periodic Solutions of Differential Equations with Generalized Piecewise Constant Argument