Anti-periodic Solutions of Quasilinear Impulsive Systems with Piecewise Constant Argument of Generalized Type

This study is devoted to anti-periodic solutions of quasilinear impulsive systems with piecewise constant argument of generalized type. We rigorously prove the existence and uniqueness of an anti-periodic solution making use of the Banach fixed point theorem. The presence of a term with piecewise constant argument is the main novelty. Appropriate examples which support the theoretical findings are provided.