New approach for the existence of pseudo almost periodic solutions for some second order differential equation with piecewise constant argument

Existence and Qualitative Properties of Solutions of a Second Order Mixed Type Impulsive Differential Equation with Piecewise Constant Arguments

“…Green's function for second order differential equations with piecewise constant arguments is studied in [21] and [22]. Dads and Lhachimi give necessary and sufficient conditions in order to ensure the existence and uniqueness of pseudo almost periodic solutions in [23]. The existence of a solution, existence of almost and quasi-periodic solutions and the spectrum containment of almost periodic solution for a class of second-order functional differential equations with piecewise constant arguments are investigated in [24], [25] and [26], respectively.…”

Discrete Pseudo Almost Periodic Solutions for Some Difference Equations

“…More details and the motivation on this applications can d in [4,[14][15][16][17][18][19][20] and the references cited therein. To apply the previous results, we consider the following system e equation does not have a so be foun …”

Almost Periodic Solutions for a Second-Order Nonlinear Equation with Mixed Delays

“…Lian et al [5] studied the stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations. Dads and Lhachimi [6] obtained some necessary and sufficient conditions in order to ensure the existence and uniqueness of pseudo almost periodic solutions for a second-order differential equation with piecewise constant argument. For more results about almost periodic solution of differential equations and dynamic system, see [7][8][9].…”